The Majorana nature of neutrinos can be experimentally verified only via lepton-number violating processes involving charged leptons. We study 36 lepton-number violating (LV ) processes from the decays of tau leptons and pseudoscalar mesons. These decays are absent in the Standard Model but, in presence of Majorana neutrinos in the mass range ∼ 100 MeV to 5 GeV, the rates for these processes would be enhanced due to their resonant contribution. We calculate the transition rates and branching fractions and compare them to the current bounds from direct experimental searches forL = 2 tau and rare meson decays. The experimental non-observation of such LV processes places stringent bounds on the Majorana neutrino mass and mixing and we summarize the existing limits. We also extend the search to hadron collider experiments. We find that, at the Tevatron with 8 fb −1 integrated luminosity, there could be 2σ (5σ) sensitivity for resonant production of a Majorana neutrino in the � ± � ± modes in the mass range of ∼ 10 − 180 GeV (10 − 120 GeV). This reach can be extended to ∼ 10 − 375 GeV (10 − 250 GeV) at the LHC of 14TeV with 100 fb −1 . The production cross section at the LHC of 10TeV is also presented for comparison. We study the � ± e ± modes as well and find that the signal could be large enough even taking into account the current bound from neutrinoless double-beta decay. The signal from the gauge boson fusion channel W + W + → l + l + at the LHC is found to be very weak given the rather small mixing parameters. We comment on the search strategy when a τ lepton is involved in the final state.

https://iopscience.iop.org/article/10.1088/1126-6708/2009/05/030/pdf

The Search for Heavy Majorana Neutrinos

We review the present status of global analyses of neutrino oscillations, taking into account the most recent neutrino data including the latest KamLAND and K2K updates presented at Neutrino2004, as well as state-of-the-art solar and atmospheric neutrino flux calculations. We give the two-neutrino solar + KamLAND results, as well as two-neutrino atmospheric + K2K oscillation regions, discussing in each case the robustness of the oscillation interpretation against departures from the Standard Solar Model and the possible existence of non-standard neutrino physics. Furthermore, we give the best fit values and allowed ranges of the three-flavour oscillation parameters from the current worlds' global neutrino data sample and discuss in detail the status of the small parameters $\alpha \equiv \Dms/\Dma$ as well as $\sin^2\theta_{13}$, which characterize the strength of CP violating effects in neutrino oscillations. We also update the degree of rejection of four-neutrino interpretations of the LSND anomaly in view of the most recent developments.

Status of global fits to neutrino oscillations

We review the particle physics aspects of neutrino-less double beta decay. This process can be mediated by light massive Majorana neutrinos (standard interpretation) or by something else (non-standard interpretations). The physics potential of both interpretations is summarized and the consequences of future measurements or improved limits on the half-life of neutrino-less double beta decay are discussed. We try to cover all proposed alternative realizations of the decay, including light sterile neutrinos, supersymmetric or left-right symmetric theories, Majorons, and other exotic possibilities. Ways to distinguish the mechanisms from one another are discussed. Experimental and nuclear physics aspects are also briefly touched, alternative processes to double beta decay are discussed, and an extensive list of references is provided.

/pdf/neutrino-less-double-beta-decay-and-particle-physics-4fssdtwcty.pdf

Neutrino-less double beta decay and particle physics

A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation

Physics of leptoquarks in precision experiments and at particle colliders

We demonstrate how to systematically test a well-motivated mechanism for neutrino mass generation (type II seesaw) at the LHC, in which a Higgs triplet is introduced In the optimistic scenarios with a small Higgs triplet vacuum expectation value ${v}_{\ensuremath{\Delta}}l{10}^{\ensuremath{-}4}\text{ }\text{ }\mathrm{GeV}$, one can look for clean signals of lepton-number violation in the decays of doubly charged (${H}^{\ifmmode\pm\else\textpm\fi{}\ifmmode\pm\else\textpm\fi{}}$) and singly charged (${H}^{\ifmmode\pm\else\textpm\fi{}}$) Higgs bosons to distinguish the normal hierarchy (NH), the inverted hierarchy (IH), and the quasidegenerate (QD) spectrum for the light neutrino masses The observation of either ${H}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{+}\overline{\ensuremath{\nu}}$ or ${H}^{+}\ensuremath{\rightarrow}{e}^{+}\overline{\ensuremath{\nu}}$ will be particularly robust for the spectrum test since they are independent of the unknown Majorana phases The ${H}^{++}$ decays moderately depend on a Majorana phase ${\ensuremath{\Phi}}_{2}$ in the NH, but sensitively depend on ${\ensuremath{\Phi}}_{1}$ in the IH In a less favorable scenario ${v}_{\ensuremath{\Delta}}g2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}\text{ }\text{ }\mathrm{GeV}$, when the leptonic channels are suppressed, one needs to observe the decays ${H}^{+}\ensuremath{\rightarrow}{W}^{+}{H}_{1}$ and ${H}^{+}\ensuremath{\rightarrow}t\overline{b}$ to confirm the triplet-doublet mixing which in turn implies the existence of the same gauge-invariant interaction between the lepton doublet and the Higgs triplet responsible for the neutrino mass generation In the most optimistic situation, ${v}_{\ensuremath{\Delta}}\ensuremath{\sim}{10}^{\ensuremath{-}4}\text{ }\text{ }\mathrm{GeV}$, both channels of the lepton pairs and gauge boson pairs may be available simultaneously The determination of their relative branching fractions would give a measurement for the value of ${v}_{\ensuremath{\Delta}}$

Neutrino masses and the CERN LHC: Testing the type II seesaw mechanism

The discovery of the Higgs boson with its mass around 125 GeV by the ATLAS and CMS Collaborations marked the beginning of a new era in high energy physics. The Higgs boson will be the subject of extensive studies of the ongoing LHC program. At the same time, lepton collider based Higgs factories have been proposed as a possible next step beyond the LHC, with its main goal to precisely measure the properties of the Higgs boson and probe potential new physics associated with the Higgs boson. The Circular Electron Positron Collider~(CEPC) is one of such proposed Higgs factories. The CEPC is an $e^+e^-$ circular collider proposed by and to be hosted in China. Located in a tunnel of approximately 100~km in circumference, it will operate at a center-of-mass energy of 240~GeV as the Higgs factory. In this paper, we present the first estimates on the precision of the Higgs boson property measurements achievable at the CEPC and discuss implications of these measurements.

Precision Higgs Physics at CEPC

The Large Hadron Collider could be a discovery machine for the neutrino mass pattern and its Majorana nature in the context of a well-motivated TeV scale Type II seesaw model. This is achieved by identifying the flavor structure of the lepton-number violating decays of the charged Higgs bosons. The observation of either H{sup +}{yields}{tau}{sup +}{nu} or H{sup +}{yields}e{sup +}{nu} will be particularly robust to determine the neutrino spectra since they are independent of the unknown Majorana phases, which could be probed via the H{sup ++}{yields}e{sub i}{sup +}e{sub j}{sup +} decays. In a less favorable scenario when the leptonic channels are suppressed, one needs to observe the decays H{sup +}{yields}W{sup +}H{sub 1} and H{sup +}{yields}tb to confirm the triplet-doublet mixing that implies the Type II relation. The associated production H{sup {+-}}{sup {+-}}H{sup {+-}} is crucial in order to test the triplet nature of the Higgs field.

Tong Li

Papers

Neutrino masses and the CERN LHC: Testing the type II seesaw mechanism

Precision Higgs Physics at CEPC

Testing a neutrino mass generation mechanism at the Large Hadron Collider

Leptoquarks and neutrino masses at the LHC