Probing leptonic CP phases in LFV processes

Abstract

We study a CP and T violating triple (spin) correlation in the muon to electron conversion in nuclei in the context of the seesaw mechanism. After concluding that the results are negative for all three seesaw types, we turn to the left-right symmetric theories as the original source of seesaw. We find that in general this correlation is of order one which offers a hope of observing CP violation in lepton flavor violating processes for a L-R scale below around 10-30 TeV. We discuss the conditions that could render to (unlikely) conspiracies as to suppress the CP violating effects.Comment: 15 pages, 2 figure

Probing the Higgs sector of the minimal Left-Right symmetric model at future hadron colliders

“…On the other hand, a 100 TeV pp collider provides an unprecedented opportunity to probe the RH gauge boson masses up to ∼ 30 − 35 TeV [5,52,55], as well as the entire Higgs sector of the LR model, as demonstrated in this paper. There are also low energy tests of the model in the domain of leptonic physics, such as the LFV processes of µ → eγ, µ → 3e and µ − e conversion in nuclei [12,48,55,[71][72][73][74][75][76][77][78][79][80][81], electric dipole moment of neutron [82][83][84] and electron [85,86], as well as the LNV process of 0νββ [12,77,78,80,81,[87][88][89][90][91][92][93][94][95][96][97][98] which are the focus of the intensity frontier. Thus, the TeV-scale LR models straddle both the energy as well as the intensity frontier, although our main focus here will be on the energy frontier aspects of the LR Higgs sector.…”

Time-reversal symmetry violation in several Lepton-Flavor-Violating processes

“…In this work we focus on quantities that test T violation in the absence of finalstate interactions and among these quantities are triple vector correlations made up of the momenta or spins of the participating particles [10]. In [11], it is suggested that triplet vector correlations can be used to probe CP violation in the µ → e conversion process. Here we present the first analytical computation for the correlation suggested in [11] for the µ → e conversion process and we extend their work in two ways: first, we compute the correlation for the µ → eγ decay and second we include the full set of effective operators that enter the µ → e conversion process.…”

“…In [11], it is suggested that triplet vector correlations can be used to probe CP violation in the µ → e conversion process. Here we present the first analytical computation for the correlation suggested in [11] for the µ → e conversion process and we extend their work in two ways: first, we compute the correlation for the µ → eγ decay and second we include the full set of effective operators that enter the µ → e conversion process.…”

“…As a concrete example of a theory beyond the SM that gives order one values for the T-odd triple vector correlation [11] we consider the minimal LR symmetric model. In what follows we analyze separately the contributions to the asymmetries (4.7) and (5.2) in the case of P and C as the LR symmetries.…”

“…In what follows we analyze separately the contributions to the asymmetries (4.7) and (5.2) in the case of P and C as the LR symmetries. In [11] it is found that this contribution can be of order one, since there are new contributions coming from interactions of charged leptons with the singly-charged and doubly-charged scalar fields.…”