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Showing papers on "Gauge boson published in 2010"


Journal ArticleDOI
Koji Nakamura1, K. Hagiwara, Ken Ichi Hikasa2, Hitoshi Murayama3  +180 moreInstitutions (92)
TL;DR: In this article, a biennial review summarizes much of particle physics using data from previous editions, plus 2158 new measurements from 551 papers, they list, evaluate and average measured properties of gauge bosons, leptons, quarks, mesons, and baryons.
Abstract: This biennial Review summarizes much of particle physics. Using data from previous editions, plus 2158 new measurements from 551 papers, we list, evaluate, and average measured properties of gauge bosons, leptons, quarks, mesons, and baryons. We also summarize searches for hypothetical particles such as Higgs bosons, heavy neutrinos, and supersymmetric particles. All the particle properties and search limits are listed in Summary Tables. We also give numerous tables, figures, formulae, and reviews of topics such as the Standard Model, particle detectors, probability, and statistics. Among the 108 reviews are many that are new or heavily revised including those on neutrino mass, mixing, and oscillations, QCD, top quark, CKM quark-mixing matrix, V-ud & V-us, V-cb & V-ub, fragmentation functions, particle detectors for accelerator and non-accelerator physics, magnetic monopoles, cosmological parameters, and big bang cosmology.

2,788 citations


Journal ArticleDOI
TL;DR: Most embeddings of the Standard Model into a more unified theory, in particular those based on supergravity or superstrings, predict the existence of a hidden sector of particles that have only very weak interactions with visible-sector Standard Model particles.
Abstract: Most embeddings of the Standard Model into a more unified theory, in particular those based on supergravity or superstrings, predict the existence of a hidden sector of particles that have only very weak interactions with visible-sector Standard Model particles. Some of these exotic particle candidates [for instance, axions, axion-like particles, and hidden U(1) gauge bosons] may be very light, with masses in the subelectronvolt range, and may have very weak interactions with photons. Correspondingly, these very weakly interacting subelectronvolt particles (WISPs) may lead to observable effects in experiments (as well as in astrophysical and cosmological observations) searching for light shining through a wall, for changes in laser polarization, for nonlinear processes in large electromagnetic fields, and for deviations from Coulomb's law. We present the physics case and a status report of this emerging low-energy frontier of fundamental physics.

950 citations


Journal ArticleDOI
TL;DR: In this article, the authors studied the production of a single resonance at the LHC and its decay into a pair of Z bosons. And they demonstrated how full reconstruction of the final states allowed them to determine the spin and parity of the resonance and restrict its coupling to vector gauge bosons, and they showed the implications for analysis of a resonance decaying to other final states.
Abstract: We study the production of a single resonance at the LHC and its decay into a pair of Z bosons. We demonstrate how full reconstruction of the final states allows us to determine the spin and parity of the resonance and restricts its coupling to vector gauge bosons. Full angular analysis is illustrated with the simulation of the production and decay chain including all spin correlations and the most general couplings of spin-zero, -one, and -two resonances to Standard Model matter and gauge fields. We note implications for analysis of a resonance decaying to other final states.

369 citations


Posted Content
TL;DR: In this article, a general discussion is presented based on the pattern of global symmetries at low energy, and the analogy with the QCD pion is analyzed, showing how a composite Higgs can emerge as the hologram of a 5-dimensional gauge field.
Abstract: This is an introduction to theories where the Higgs is a composite Nambu-Goldstone boson of a new strongly-interacting dynamics not much above the weak scale. A general discussion is presented based on the pattern of global symmetries at low energy, and the analogy with the QCD pion is analyzed. The last part of the lectures shows how a composite Higgs can emerge as the hologram of a 5-dimensional gauge field.

358 citations


Journal ArticleDOI
TL;DR: In this article, the authors reexamine recent claims that the scattering in the Higgs inflation model is unitary above the cut-off energy, and show explicitly how unitarity problems arise in both the Einstein and Jordan frames of the theory.
Abstract: We reexamine recent claims that Einstein-frame scattering in the Higgs inflation model is unitary above the cut-off energy Λ ≃ M p /ξ We show explicitly how unitarity problems arise in both the Einstein and Jordan frames of the theory In a covariant gauge they arise from non-minimal Higgs self-couplings, which cannot be removed by field redefinitions because the target space is not flat In unitary gauge, where there is only a single scalar which can be redefined to achieve canonical kinetic terms, the unitarity problems arise through non-minimal Higgs-gauge couplings

301 citations


Journal ArticleDOI
TL;DR: In this paper, a family of nonrelativistic Yang-Mills gauge theories in D+1 dimensions whose free-field limit exhibits quantum critical behavior with gapless excitations and dynamical critical exponent z=2 was presented.

240 citations


Journal ArticleDOI
TL;DR: In this article, a simple theory where baryon number (B) and lepton number (L) are local gauge symmetries was investigated and it was shown that the stability of a dark matter candidate is an automatic consequence of the gauge symmetry.
Abstract: We investigate a simple theory where baryon number (B) and lepton number (L) are local gauge symmetries. In this theory B and L are on the same footing and the anomalies are canceled by adding a single new fermionic generation. There is an interesting realization of the seesaw mechanism for neutrino masses. Furthermore, there is a natural suppression of flavor violation in the quark and leptonic sectors since the gauge symmetries and particle content forbid tree level flavor changing neutral currents involving the quarks or charged leptons. Also one finds that the stability of a dark matter candidate is an automatic consequence of the gauge symmetry. Some constraints and signals at the Large Hadron Collider are briefly discussed.

192 citations


Journal ArticleDOI
TL;DR: In this paper, a complete solution for the trilinear interactions of arbitrary spins s 1, s 2, s 3 in a flat background is presented, and the possibility to enlarge this construction to higher order interactions in the gauge field is discussed.

183 citations


Journal ArticleDOI
TL;DR: In this article, the sign of couplings in an effective Higgs Lagrangian using prime principles such as the naturalness principle, global symmetries, and unitarity was derived.
Abstract: We derive constraints on the sign of couplings in an effective Higgs Lagrangian using prime principles such as the naturalness principle, global symmetries, and unitarity. Specifically, we study four dimension-six operators, $ {\mathcal{O}_H} $ , $ {\mathcal{O}_y} $ , $ {\mathcal{O}_g} $ , and $ {\mathcal{O}_\gamma } $ , which contribute to the production and decay of the Higgs boson at the Large Hadron Collider (LHC), among other things. Assuming the Higgs is a fundamental scalar, we find: 1) the coefficient of $ {\mathcal{O}_H} $ is positive except when there are triplet scalars, resulting in a reduction in the Higgs on-shell coupling from their standard model (SM) expectations if no other operators contribute, 2) the linear combination of $ {\mathcal{O}_H} $ and $ {\mathcal{O}_y} $ controlling the overall Higgs coupling to fermion is always reduced, 3) the sign of $ {\mathcal{O}_g} $ induced by a new colored fermion is such that it interferes destructively with the SM top contribution in the gluon fusion production of the Higgs, if the new fermion cancels the top quadratic divergence in the Higgs mass, and 4) the correlation between naturalness and the sign of $ {\mathcal{O}_\gamma } $ is similar to that of $ {\mathcal{O}_g} $ , when there is a new set of heavy electroweak gauge bosons. Next considering a composite scalar for the Higgs, we find the reduction in the on-shell Higgs couplings persists. If further assuming a collective breaking mechanism as in little Higgs theories, the coefficient of $ {\mathcal{O}_H} $ remains positive even in the presence of triplet scalars. In the end, we conclude that the gluon fusion production of the Higgs boson is reduced from the SM rate in all composite Higgs models. Our study suggests a wealth of information could be revealed by precise measurements of the Higgs couplings, providing strong motivations for both improving on measurements at the LHC and building a precision machine such as the linear collider.

165 citations


Journal ArticleDOI
TL;DR: In this paper, a theory with an Abelian gauge boson that possesses flavor changing couplings between up and top quarks but satisfies flavor physics constraints was studied. And they showed that this theory can yield a total lab-frame asymmetry of approximately 18% without conflicting with other observables.
Abstract: Motivated by recent measurements of the top quark forward-backward asymmetry at the Tevatron, we study how $t$-channel new physics can contribute to a large value. We concentrate on a theory with an Abelian gauge boson that possesses flavor changing couplings between up and top quarks but satisfies flavor physics constraints. Collider constraints are strong, but can be accommodated with the aid of small flavor-diagonal couplings. We find that ${M}_{{Z}^{\ensuremath{'}}}\ensuremath{\approx}160\text{ }\text{ }\mathrm{GeV}$ can yield a total lab-frame asymmetry of $\ensuremath{\sim}18%$ without conflicting with other observables. There are implications for future collider searches, including exotic top quark decays, like-sign top quark production, and detailed measurements of the top production cross section. An alternate model with a gauged non-Abelian flavor symmetry has similar phenomenology, but lacks the like-sign top signal.

155 citations


Journal ArticleDOI
TL;DR: In this article, a meson of a QCD-like sector, built out of constituent fermions whose spin-spin interactions break the degeneracy of the ground state, is considered.

Journal ArticleDOI
TL;DR: In this article, a Z 2 × Z 2 orbifold compactification of the E 8 × E 8 heterotic string is presented, which gives rise to the exact chiral MSSM spectrum.

Journal ArticleDOI
TL;DR: In this paper, the impact of a dynamical gauge field in vortex configurations is studied, where it is known to significantly affect the energetics and phase transitions of superconductors.
Abstract: Holographic superconductors have been studied so far in the absence of dynamical electromagnetic fields, namely in the limit in which they coincide with holographic superfluids. It is possible, however, to introduce dynamical gauge fields if a Neumann-type boundary condition is imposed on the AdS-boundary. In 3 + 1 dimensions, the dual theory is a 2 + 1 dimensional CFT whose spectrum contains a massless gauge field, signaling the emergence of a gauge symmetry. We study the impact of a dynamical gauge field in vortex configurations where it is known to significantly affect the energetics and phase transitions. We calculate the critical magnetic fields H c1 and H c2, obtaining that holographic superconductors are of Type II (H c1 < H c2). We extend the study to 4 + 1 dimensions where the gauge field does not appear as an emergent phenomenon, but can be introduced, by a proper renormalization, as an external dynamical field. We also compare our predictions with those arising from a Ginzburg-Landau theory and identify the generic properties of Abrikosov vortices in holographic models.

Journal ArticleDOI
TL;DR: In this paper, the authors argue for the plausibility of a broad class of vectorlike confining theories at the TeV scale which interact with the Standard Model predominantly via gauge interactions.
Abstract: We argue for the plausibility of a broad class of vectorlike confining gauge theories at the TeV scale which interact with the Standard Model predominantly via gauge interactions. These theories have a rich phenomenology at the LHC if confinement occurs at the TeV scale, while ensuring negligible impact on precision electroweak and flavor observables. Spin-1 bound states can be resonantly produced via their mixing with Standard Model gauge bosons. The resonances promptly decay to pseudo-Goldstone bosons, some of which promptly decay to a pair of Standard Model gauge bosons, while others are charged and stable on collider time scales. The diverse set of final states with little background include multiple photons and leptons, missing energy, massive stable charged particles and the possibility of highly displaced vertices in dilepton, leptoquark or diquark decays. Among others, a novel experimental signature of resonance reconstruction out of massive stable charged particles is highlighted. Some of the long-lived states also constitute Dark Matter candidates.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the non-perturbative renormalization group behavior of the gauge coupling constant using a truncated form of the functional flow equation for the effective average action of the Yang-Mills-gravity system.
Abstract: We investigate the non-perturbative renormalization group behavior of the gauge coupling constant using a truncated form of the functional flow equation for the effective average action of the Yang-Mills-gravity system. We find a non-zero quantum gravity correction to the standard Yang-Mills beta function which has the same sign as the gauge boson contribution. Our results fit into the picture according to which Quantum Einstein Gravity (QEG) is asymptotically safe, with a vanishing gauge coupling constant at the non-trivial fixed point.

Journal ArticleDOI
TL;DR: In this paper, free Lagrangians for conformal and non-gauge bosonic conformal fields of any symmetry type and in any space-time dimension are found.

Journal ArticleDOI
TL;DR: In this paper, the authors consider current precision electroweak data, Z-search and dark matter constraints and analyse their implications for an extension of the Standard Model (SM) that includes an extra U ( 1 ) "massive gauge boson and a particular hidden sector (hidden valley) with a confining (QCD-like) gauge group.

Journal ArticleDOI
TL;DR: In this article, a mapping between the two-dimensional toric code model in external magnetic fields, h_z and h_x, and the three-dimensional classical Ising system with plaquette interactions was constructed, which is equivalent to the threedimensional Z_2 gauge Higgs model with anisotropy between the imaginary time and spatial directions.
Abstract: We construct a mapping between the two-dimensional toric code model in external magnetic fields, h_z and h_x, and the three-dimensional classical Ising system with plaquette interactions, which is equivalent to the three-dimensional Z_2 gauge Higgs model with anisotropy between the imaginary time and spatial directions. The isotropic limit of the latter model was studied using Monte Carlo simulations on large (up to 60^3) lattices in order to determine the stability of the topological phase against generic magnetic field perturbations and to resolve fine details of the phase diagram. We find that the topological phase is bounded by second-order transition lines, which merge into a first-order line at what appears to be a multicritical point arising from the competition between the Higgs and confinement transitions in the Z_2 gauge system. An effective field theory for this type of multicritical point (if one actually exists) is not known. Our results have potential applications to frustrated magnets, quantum computation, lattice gauge models in particle physics, and critical phenomena.

Journal ArticleDOI
TL;DR: In this paper, a light dilaton emerges from the breaking of a nearly conformal strong dynamics and compare the phenomenology of the dilaton to that of the well-motivated light composite Higgs scenario.
Abstract: We make use of the language of nonlinear realizations to analyze electroweak symmetry breaking scenarios in which a light dilaton emerges from the breaking of a nearly conformal strong dynamics and compare the phenomenology of the dilaton to that of the well-motivated light composite Higgs scenario. We argue that - in addition to departures in the decay/production rates into massless gauge bosons mediated by the conformal anomaly - characterizing features of the light dilaton scenario are enhancements in off-shell events at high invariant mass involving two longitudinally polarized vector bosons and a dilaton, and tree-level flavor violating processes. Accommodating both electroweak precision measurements and flavor constraints appears especially challenging in the ambiguous scenario in which the Higgs and the dilaton fields strongly mix. We show that warped higgsless models of electroweak symmetry breaking are explicit and tractable realizations of this limiting case. The relation between the naive radion profile often adopted in the study of holographic realizations of the light dilaton scenario and the actual dynamical dilaton field is clarified in the Appendix.

Journal ArticleDOI
TL;DR: In this paper, the authors compute the dark matter abundance in such a scenario and the constraints in the light of the recent data from CoGENT, CDMSII and XENON100.
Abstract: Several string or GUT constructions motivate the existence of a dark U(1)D gauge boson which interacts with the Standard Model only through its kinetic mixing. We compute the dark matter abundance in such scenario and the constraints in the light of the recent data from CoGENT, CDMSII and XENON100. We show in particular that a region with relatively light WIMPS, MZD40 GeV and a kinetic mixing 10−4δ10−3 is not yet excluded by the last experimental data and seems to give promising signals in a near future. We also compute the value of the kinetic mixing needed to explain the DAMA/CoGENT/CRESST excesses and find that for MZD30 GeV, δ ~ 10−3 is sufficient to fit with the data.

Journal ArticleDOI
TL;DR: The SU(3) theory with six quarks and the SU(2) gauge theory with one pair of quarks coupled to the superconformal theory with E 6 flavor symmetry were shown to be S-dual in this article.
Abstract: We demonstrate the agreement between the Higgs branches of two \({\mathcal{N}=2}\) theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the superconformal theory with E 6 flavor symmetry. In mathematical terms, we demonstrate the equivalence between a hyperkahler quotient of a linear space and another hyperkahler quotient involving the minimal nilpotent orbit of E 6, modulo the identification of the twistor lines.

Journal ArticleDOI
TL;DR: In this paper, a modified version of the B-L extension of the standard model was proposed, where neutrino masses are generated through the inverse seesaw mechanism. And the search for the extra gauge boson Z{sub B-l}{sup '} through the decay into dileptons or two dileptions plus missing energy was studied.
Abstract: We propose a modified version of the TeV-scale B-L extension of the standard model, where neutrino masses are generated through the inverse seesaw mechanism. We show that heavy neutrinos in this model can be accessible via clean signals at the LHC. The search for the extra gauge boson Z{sub B-L}{sup '} through the decay into dileptons or two dileptons plus missing energy is studied. We also show that the B-L extra Higgs boson can be directly probed at the LHC via a clean dilepton and missing energy signal.

Journal ArticleDOI
TL;DR: In this article, leptogenesis within a TeV-scale inverse seesaw model for neutrino masses where the seesaw structure is guaranteed by an SO(10) symmetry is discussed.
Abstract: We discuss leptogenesis within a TeV-scale inverse seesaw model for neutrino masses where the seesaw structure is guaranteed by an SO(10) symmetry. Contrary to the TeV-scale type-I gauged seesaw, the constraints imposed by successful leptogenesis in these models are rather weak and allow for the extra gauge bosons W_R and Z' to be in the LHC accessible range. The key differences in the inverse seesaw compared to the type I case are: (i) decay and inverse decay rates larger than the scatterings involving extra gauge bosons due to the large Yukawa couplings and (ii) the suppression of the washout due to very small lepton number breaking.

Journal ArticleDOI
TL;DR: In this article, a global analysis of a class of models with an extended electroweak gauge group of the form $SU(2 )ifmmode\times\else\texttimes\fi{}U(1)
Abstract: We present the results of a global analysis of a class of models with an extended electroweak gauge group of the form $SU(2)\ifmmode\times\else\texttimes\fi{}SU(2)\ifmmode\times\else\texttimes\fi{}U(1)$, often denoted as $G(221)$ models, which include as examples the left-right, the leptophobic, the hadrophobic, the fermiophobic, the un-unified, and the nonuniversal models. Using an effective Lagrangian approach, we compute the shifts to the coefficients in the electroweak Lagrangian due to the new heavy gauge bosons, and obtain the lower bounds on the masses of the ${Z}^{\ensuremath{'}}$ and ${W}^{\ensuremath{'}}$ bosons. The analysis of the electroweak parameter bounds reveals a consistent pattern of several key observables that are especially sensitive to the effects of new physics and thus dominate the overall shape of the respective parameter contours.

Journal ArticleDOI
TL;DR: In this paper, a biennial review summarizes much of particle physics using data from previous editions, plus 2778 new measurements from 645 papers, they list, evaluate and average measured properties of gauge bosons, leptons, quarks, mesons, and baryons.

Journal ArticleDOI
TL;DR: In this paper, it is shown that it is more difficult to elaborate a model generating a significant top asymmetry through exchanges of Kaluza-Klein gluons at the Tevatron due to the indirect constraints originating from precision electroweak data.
Abstract: The CDF and D0 experiments have reported on the measurement of the forward-backward asymmetry of top quark pair production at the Tevatron and the result is that it is more than 2 standard deviations above the predicted value in the standard model. This has to be added to the long-standing anomaly in the forward-backward asymmetry for bottom quark production at LEP which is 3 standard deviations different from the standard model value. The discrepancy in the bottom asymmetry can be accounted for by the contributions of Kaluza-Klein excitations of electroweak gauge bosons at LEP in warped extra-dimensional models in which the fermions are localized differently along the extra dimension so that the gauge interactions of heavy third generation fermions are naturally different from that of light fermions. In this paper, we show that it is more difficult to elaborate a model generating a significant top asymmetry through exchanges of Kaluza-Klein gluons at the Tevatron due to the indirect constraints originating from precision electroweak data.

Journal ArticleDOI
TL;DR: In this paper, the authors demonstrate the existence of a new viable region of the inert doublet model featuring dark matter masses between Mw and about 160 GeV along with the correct relic density thanks to cancellations between different diagrams contributing to dark matter annihilation into gauge bosons (W+W- and ZZ).
Abstract: The inert doublet model, a minimal extension of the Standard Model by a second Higgs doublet, is one of the simplest and most attractive scenarios that can explain the dark matter. In this paper, we demonstrate the existence of a new viable region of the inert doublet model featuring dark matter masses between Mw and about 160 GeV. Along this previously overlooked region of the parameter space, the correct relic density is obtained thanks to cancellations between different diagrams contributing to dark matter annihilation into gauge bosons (W+W- and ZZ). First, we explain how these cancellations come about and show several examples illustrating the effect of the parameters of the model on the cancellations themselves and on the predicted relic density. Then, we perform a full scan of the new viable region and analyze it in detail by projecting it onto several two-dimensional planes. Finally, the prospects for the direct and the indirect detection of inert Higgs dark matter within this new viable region are studied. We find that present direct detection bounds already rule out a fraction of the new parameter space and that future direct detection experiments, such as Xenon100, will easily probe the remaining part in its entirety.

Journal ArticleDOI
TL;DR: In this article, the authors present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime.
Abstract: In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime. An extension of an earlier result by Wald is used to show the spin weight $\ifmmode\pm\else\textpm\fi{}2$ perturbed Weyl scalar (${\ensuremath{\psi}}_{0}$ or ${\ensuremath{\psi}}_{4}$) determines the metric perturbation outside the particle up to a gauge transformation and an infinitesimal change in mass and angular momentum. A Hertz potential is used to construct the part of the retarded metric perturbation that involves no change in mass or angular momentum from ${\ensuremath{\psi}}_{0}$ in a radiation gauge. The metric perturbation is completed by adding changes in the mass and angular momentum of the background spacetime outside the radial coordinate ${r}_{0}$ of the particle in any convenient gauge. The resulting metric perturbation is singular only on the trajectory of the particle. A mode-sum method is then used to renormalize the self-force. Gralla shows that the renormalized self-force can be used to find the correction to a geodesic orbit in a gauge for which the leading, $O({\ensuremath{\rho}}^{\ensuremath{-}1})$, term in the metric perturbation has spatial components even under a parity transformation orthogonal to the particle trajectory, and we verify that the metric perturbation in a radiation gauge satisfies that condition. We show that the singular behavior of the metric perturbation and the expression for the bare self-force have the same power-law behavior in $L=\ensuremath{\ell}+1/2$ as in a Lorenz gauge (with different coefficients). We explicitly compute the singular Weyl scalar and its mode-sum decomposition to subleading order in $L$ for a particle in circular orbit in a Schwarzschild geometry and obtain the renormalized field. Because the singular field can be defined as this mode sum, the coefficients of each angular harmonic in the sum must agree with the large $L$ limit of the corresponding coefficients of the retarded field. One may therefore compute the singular field by numerically matching the retarded field to a power series in $L$. To check the accuracy of the numerical method, we analytically compute leading and subleading terms in the singular expansion of ${\ensuremath{\psi}}_{0}$ and compare the numerical and analytic values of the renormalization constants, finding agreement to high precision. Details of the numerical computation of the perturbed metric, the self-force, and the quantity ${h}_{\ensuremath{\alpha}\ensuremath{\beta}}{u}^{\ensuremath{\alpha}}{u}^{\ensuremath{\beta}}$ (gauge invariant under helically symmetric gauge transformations) are presented for this test case in the companion paper.

Journal ArticleDOI
TL;DR: In this paper, the authors extended the study of scattering amplitudes presented in the LHC String Hunter's Companion to the case of five-point processes that may reveal the signals of low mass strings at the HetNets and are potentially useful for detailed investigations of fundamental Regge excitations.

Journal ArticleDOI
TL;DR: In this article, the authors generalize the General Gauge Mediation formalism to allow for the possibility of gauge messengers, and give a completely general, model independent, current-algebra based analysis of gauge messenger mediation of susy-breaking to the visible sector.
Abstract: We generalize the General Gauge Mediation formalism [13] to allow for the possibility of gauge messengers. Gauge messengers occur when charged matter fields of the susy-breaking sector have non-zero F-terms, which leads to tree-level, susy-breaking mass splittings in the gauge fields. A classic example is that SU(5)GUT/SU(3) × SU(2) × U(1) gauge fields could be gauge messengers. We give a completely general, model independent, current-algebra based analysis of gauge messenger mediation of susy-breaking to the visible sector. Characteristic aspects of gauge messengers include enhanced contributions to gaugino masses, (tachyonic) sfermion mass-squareds generated already at one loop, and also at two loops, and significant one-loop A-terms, already at the messenger scale.