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Journal ArticleDOI

Gaugino mass without singlets

TL;DR: In this paper, it was shown that there is a supergravity contribution to the quantum level of the superconformal anomaly to the A terms proportional to the beta function of the corresponding Yukawa coupling.
Abstract: In models with dynamical supersymmetry breaking in the hidden sector, the gaugino masses in the observable sector have been believed to be extremely suppressed (below 1 keV), unless there is a gauge singlet in the hidden sector with specific couplings to the observable sector gauge multiplets. We point out that there is a pure supergravity contribution to gaugino masses at the quantum level arising from the superconformal anomaly. Our results are valid to all orders in perturbation theory and are related to the ‘exact’ beta functions for soft terms. There is also an anomaly contribution to the A terms proportional to the beta function of the corresponding Yukawa coupling. The gaugino masses are proportional to the corresponding gauge beta functions, and so do not satisfy the usual GUT relations.

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Citations
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TL;DR: The current status of particle dark matter, including experimental evidence and theoretical motivations, including direct and indirect detection techniques, is discussed in this paper. But the authors focus on neutralinos in models of supersymmetry and Kaluza-Klein dark matter in universal extra dimensions.

4,614 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that supersymmetry breaking necessarily generates at one loop a scalar and gaugino mass as a consequence of the super-Weyl anomaly.

1,586 citations

Journal ArticleDOI
TL;DR: In this article, the authors presented the first complete next-to-next-toleading order analysis of the Standard Model Higgs potential, showing that at the Planck scale, absolute stability of the potential is not guaranteed at 98% C.L. for Mh < 126 GeV.
Abstract: We present the rst complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling ( ) and the Higgs mass (Mh), reducing the theoretical uncertainty in the determination of the critical value of Mh for vacuum stability to 1 GeV. While at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98% C.L. for Mh < 126 GeV. Possible consequences of the near vanishing of at the Planck scale, including speculations about the role of the Higgs eld during ination, are discussed.

1,429 citations

Journal ArticleDOI
TL;DR: In this article, a general analysis of extensions of the Standard Model which satisfy the criterion of Minimal Flavour Violation (MFV) is presented, with the most stringent constraints imposed by B → Xsγ.

1,277 citations

Journal ArticleDOI
TL;DR: SPheno as mentioned in this paper is a program that accurately calculates the supersymmetric particle spectrum within a high scale theory, such as minimal supergravity, gauge mediated supersymmetry breaking, or string effective field theories.

1,067 citations

References
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Journal ArticleDOI
TL;DR: In this article, it was shown that supersymmetry breaking necessarily generates at one loop a scalar and gaugino mass as a consequence of the super-Weyl anomaly.

1,586 citations

Journal ArticleDOI
Gian F. Giudice1, Riccardo Rattazzi1
TL;DR: Theoretically, these theories allow for a natural suppression of flavour violations in the supersymmetric sector and have very distinctive phenomenological features as discussed by the authors, and the experimental implications of these theories have been discussed.

1,370 citations

Book
01 Jan 1980
TL;DR: In this article, the fundamental foundations of classical Gauge field theory and quantum theory in terms of path integrals are discussed. And the Yang-Mills Field theory is formally formalized.
Abstract: * Introduction: Fundamentals of Classical Gauge Field Theory * Quantum Theory in Terms of Path Integrals * Quantization of the Yang-Mills Field * Renormalization of Gauge Theories * Some Application and Conclusion

841 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that the required change in the holomorphic gauge coupling is exhausted at 1-loop to all orders of perturbation theory, and even nonperturbatively in some cases.
Abstract: There have been known "exact" beta functions for the gauge coupling in N=1 supersymmetric gauge theories, the so-called NSVZ beta functions. Shifman and Vainshtein (SV) further related these beta functions to the exact 1-loop running of the "Wilsonian" gauge coupling. All these results, however, remain somewhat mysterious. We attempt to clarify these issues by presenting new perspectives on the NSVZ beta function. Our interpretation of the results is somewhat different than the one given by SV, having nothing to do with the distinction between "Wilsonian" and "1PI" effective actions. Throughout we work in the context of the Wilsonian Renormalization Group; namely, as the cutoff of the theory is changed from M to M', we determine the appropriate changes in the bare couplings needed to keep the low energy physics fixed. The entire analysis is therefore free of infrared subtleties. When the bare Lagrangian given at the cutoff is manifestly holomorphic in the gauge coupling, we show that the required change in the holomorphic gauge coupling is exhausted at 1-loop to all orders of perturbation theory, and even non-perturbatively in some cases. On the other hand, when the bare Lagrangian has canonically normalized kinetic terms, we find that the required change in the gauge coupling is given by the NSVZ beta function. The higher order contributions in the NSVZ beta function are due to anomalous Jacobians under the rescaling of the fields done in passing from holomorphic to canonical normalization. We also give prescriptions for regularizing certain N=1 theories with an ultraviolet cutoff M preserving manifest holomorphy, starting from finite N=4 and N=2 theories. It is then in principle possible to check the validity of the exact beta function by higher order calculations in these theories.

210 citations

Journal ArticleDOI
TL;DR: In this paper, it was shown that the required change in the holomorphic gauge coupling is exhausted at 1-loop to all orders of perturbation theory, and even nonperturbatively in some cases.
Abstract: There have long been known \exact" functions for the gauge coupling in N =1 supersymmetric gauge theories, the so-called Novikov-Shifman-Vainshtein-Zakharov (NSVZ) functions. Shifman and Vainshtein further related these functions to the exact 1-loop running of the gauge coupling in a \Wilsonian" action. All these results, however, remain somewhat mysterious. We attempt to clarify these issues by presenting new perspectives on the NSVZ function. Our interpretation of the results is somewhat dierent than the one given by Shifman and Vainshtein, having nothing to do with the distinction between \Wilsonian" and \1PI" eective actions. Throughout we work in the context of the Wilsonian Renormalization Group; namely, as the cuto of the theory is changed from M to M 0 , we seek to determine the appropriate changes in the bare couplings needed in order to keep the low energy physics xed. The entire analysis is therefore free of infrared subtleties. When the bare Lagrangian given at the cuto is manifestly holomorphic in the gauge coupling, we show that the required change in the holomorphic gauge coupling is exhausted at 1-loop to all orders of perturbation theory, and even non-perturbatively in some cases. On the other hand, when the bare Lagrangian at the cuto has canonically normalized kinetic terms, we nd that the required change in the gauge coupling is given by the NSVZ function. The higher order contributions in the NSVZ function are due to anomalous Jacobians under the rescaling of the elds done in passing from holomorphic to canonical normalization. We also give prescriptions for regularizing certain N = 1 theories with an ultraviolet cuto M preserving manifest holomorphy, starting from nite N =4a nd N =2 theories. It is then at least in principle possible to check the validity of the exact function by higher order calculations in these theories.

186 citations