The self-coupling of weak lepton currents in high energy neutrino and muon reactions

The transverse momentum distribution of the muons in the reaction $\text{ν + (z) → ν + μ +}\text{μ}\text{+ (z)}$ is discussed. The lower end of the energy spectrum of the muons in the previous study is also modified by using an improved interpolation formula.     

Systematic analysis of lepton family number violating processes in the framework of local gauge theories

General unified electroweak gauge theories with neutral lepton mixing are reexamined with regard to processes that change lepton family numbers L_f. The most general allowed mass sectors of models based on SU(2) × U(1) and SU(2)_L × SU(2)_R × U(1) are studied and the consequences for L_f changing processes such as μ → eγ, ν_f′ → ν_f + γ are worked out. We discuss models that break individual lepton family numbers but still conserve total lepton number L, as well as models in which L is broken too.     

Probing neutrino masses and tri-bimaximality with lepton flavor violation searches

We examine relation between neutrino oscillation parameters and prediction of lepton flavor violation, in light of deviations from tri-bimaximal mixing. Our study shows that upcoming experimental searches for lepton flavor violation process can provide useful implications for neutrino mass spectrum and mixing angles. With simple structure of heavy right-handed neutrino and supersymmetry breaking sectors, the discovery of τ→μγ$\tau \to \mu \gamma$ decay determines neutrino mass hierarchy if large (order 0.1) reactor angle is established.     

Theoretical aspects of neutrino mass and lepton flavour violation

We consider lepton flavour violation (LFV) in the charged lepton sector both from the bottom-up effective Lagrangian approach and from the top-down approach via various case studies that have been analysed. The implications for LFV studies at the LHC is briefly discussed. Finally the nature of LFV in the neutrino sector is considered, paying particular regard to the implications of the recent measurements of ?? ₁₃.     

Neutrino-adron processes in a system of weak interactions,including a third neutrino

A scheme is discussed for describing weak interactions of leptons and adrons, including the strange" s-neutrino. It is suggested that the s-neutrino, which is different from the electron and muon neutrino, originates by lepton decays of hyperons and kaons. The possibilities are discussed for the experimental verification of the hypothesis concerning the existence of the third neutrino.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 7, pp. 13–17, July, 1971.     

Theoretical study of lepton events in the atmospheric neutrino experiments at SuperK

Super-Kamiokande has reported the results for the lepton events in the atmospheric neutrino experiment. These results have been presented for a 22.5kT water fiducial mass on an exposure of 1489 days, and the events are divided into sub-GeV, multi-GeV and PC events. We present a study of nuclear medium effects in the sub-GeV energy region of atmospheric neutrino events for the quasielastic scattering, incoherent and coherent pion production processes, as they give the most dominant contribution to the lepton events in this energy region. We have used the atmospheric neutrino flux given by Honda et al. These calculations have been done in the local density approximation. We take into account the effects of Pauli blocking, Fermi motion, Coulomb effect, renormalization of weak transition strengths in the nuclear medium in the case of the quasielastic reactions. The inelastic reactions leading to production of leptons along with pions is calculated in a $ \Delta$ -dominance model by taking into account the renormalization of $ \Delta$ properties in the nuclear medium and the final-state interaction effects of the outgoing pions with the residual nucleus. We present the results for the lepton events obtained in our model with and without nuclear medium effects, and compare them with the Monte Carlo predictions used in the simulation and the experimentally observed events reported by the Super-Kamiokande Collaboration.     

Hierarchical quark and lepton masses in grand unified theories

A general scheme by which fermions in grand unified theories may acquire radiative hierarchical masses is suggested. The observed hierarchy of fermion masses (≈10^?3–10² GeV) appears as a direct reflection of the physics taking place in the 10¹⁴–10¹⁹ GeV energy range. ASU (10) example is shown in which quark and leptons acquire their masses by means of radiative graphs.     

Production of lepton pairs in processes with hadronic jets

We propose a model for the production of extra (additional) lepton pairs in deep inelastic lepton-hadron scattering, e⁺e^– annihilation and large p_T processes. Extra lepton pairs are supposed to be originated by annihilations of quarks and antiquarks created during the space-time evolution of quark initiated jets. This mechanism yields predominantly dileptons with rather low masses. Predictions following from the model are compared with the recent data on trimuon production in neutrino-nucleon interactions. It is also suggested that internal hard processes can lead to dileptons with both small and large masses. The latter mechanism has rather small cross section but it is particularly interesting from the point of view of the simple quark-parton model.Dedicated to Academician Václav Votruba on the occasion of his seventieth birthday.     

Perturbative QCD and weak asymmetries in lepton pair production

The interference of electromagnetic and weak production mechanisms for lepton pair production may give rise to several effects which violate parity and charge symmetry. These effects are generally of the order of 1% for dilepton masses of 10 GeV. The theoretical calculations presented here show that experimental studies of these asymmetries may be useful. In particular, measurements of these asymmetries in collisions of pions with polarized protons may lead to a greatly enhanced understanding of the polarization distribution of quarks in a polarized proton. The polarization structure of the d quark is shown to be of special interest. Measurement of the parity-violating asymmetries in proton-polarized proton collisions may prove to be a sensitive probe of the flavor symmetry of the proton antiquark sea. Analysis of the parity conserving charge asymmetry (which is predicted to occur in collisions of unpolarized hadrons) allows a unique further test of the Drell-Yan model for lepton pair production, as well as of our understanding of weak interactions.The above asymmetries mentioned are computed within the framework of the parton model. The focus of this work is on the asymmetries calculated with the inclusion of first-order perturbative QCD effects. The asymmetries are calculated in a differential form for values of the dilepton transverse momentum large compared with the typical (～1 GeV) scale of nonperturbative effects, and also in a form in which this transverse momentum has been integrated over. Corrections to the parton model results, which can be large, show rather different structure for the various asymmetries.A parity-violating asymmetry which may occur in collisions of unpolarized hadrons is also discussed. This asymmetry is very sensitive to the nonperturbative structure of hadrons, and is estimated to be approximately 0.01% for dilepton masses of 10 GeV.     

Trimoun production in neutrino and muon interactions from structure at the lepton vertex

The direct production of three charged leptons by an incident high-energy neutrino can arise from approximately local structure effects at the lepton vertex, and be accompanied by limited energy-momentum transfer to the target nucleon. We estimate the relative rate in a simple model which illustrates this class of mechanisms, and then enumerate several unambiguous experimental tests, such as the absence of neutrinos in the final state, which distinguish this mechanism from those involving the production and weak decay of real new particles.     

Associated neutrino mixing and neutrino oscillations in left-right electro weak gauge theory

The rare electromagnetic decay of a neutral pseudoscalar meson into a lepton pair is calculated in a bound state quark model. For heavy mesons, the leading QCD diagram is argued to be dominant allowing higher order QCD corrections to be neglected for the branching ratio of this decay to the two-photon decay. The experimentally interesting case of pion decay is treated separately, and the rates for competing processes (weak neutral currents, axions, technicolour ...) are estimated. We conclude that existing data may well allow for such contributions.     

Majorana neutrino contributions to renormalization-group scaling of quark and lepton masses

It is shown that the existence of heavy Majorana neutrinos significantly affects the renormalization group scaling of quark and lepton masses with respect to the standard results.     

Lorentz violation constrained by triplicity of lepton families and neutrino oscillations

In this paper we postulate an algebraic model to relate the triplet characteristic of lepton families to Lorentz violation. Inspired by the two-to-one mapping between the group SL（2, C） and the Lorentz group via the Pauli grading （the elements of SL（2, C） expressed by direct sum of unit matrix and generators of SU（2） group）, we grade the SL（3,C） group with the generators of SU（3）, i. e. the Gell-Mann matrices, then express the SU（3） group in terms of three SU（2） subgroups, each of which stands for a lepton species and is mapped into the proper Lorentz group as in the case of the group SL（2,C）. If the mapping from group SL（3,C） to the Lorentz group is constructed by choosing one SU（2） subgroup as basis, then the other two subgroups display their impact only by one more additional generator to that of the original Lorentz group. Applying the mapping result to the Dirac equation, it is found that only when the kinetic vertex -γμθ^μ is extended to encompass γ5γμθ^μ can the Dirac-equation-form be conserved. The generalized vertex is useful in producing neutrino oscillations and mass differences.