Prospects of charged lepton flavor violation in very special relativity
- PDF / 467,569 Bytes
- 11 Pages / 439.37 x 666.142 pts Page_size
- 77 Downloads / 230 Views
Prospects of charged lepton flavor violation in very special relativity Tripurari Srivastava1,a , Alekha C. Nayak2,b 1 Theoretical Physics Division, Physical Research Laboratory, Ahmedabad 380009, India 2 Department of Physics, National Institute of Technology, Meghalaya, Shillong 793003, India
Received: 7 January 2020 / Accepted: 7 August 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Within very special relativity (VSR), neutrino mass term is non-local, Lorentz violating and does not need additional new fields beyond the standard model (SM). We can extend the SM by adding such VSR invariant mass terms for all the fermions. Gauging VSR mass term for standard model fermions induce charge lepton flavor violating (CLFV) processes, e.g., μ → eγ , μ → eee, and τ → μμμ, etc., which are absent in the SM at the tree level. We develop a procedure to calculate the three-body decay process for VSR framework and apply it to calculate the branching ratio of various CLFV processes. We also have revisited (g −2) in the context of VSR that put stringent constraint over the same flavor fermion photon interaction.
1 Introduction The predictions of special relativity (SR) are in good agreement with the experiments and SR is based on Lorentz symmetry. Although exact Lorentz symmetry violation has not been observed, many quantum gravity models predict breaking of Lorentz invariance at Planck scale energy (MPl ≈ 1019 GeV) . One of the reasons that colliders have not observed Lorentz violating (LV) signal is because the signal is suppressed by the ratio of electroweak scale (MW ) to Planck mass, i.e., MW /MPl ≈ 10−17 [1]. In the supersymmetrized version of field theory, the LV signal suppression is
2 MSUSY 2 MPl
[2], where MSUSY is the scale at which
supersymmetry breaking occurs. Very special relativity is based on the idea that the frame independence of the speed of light does not necessarily require Lorentz invariance. It only demands that a subgroup, such as T(2), E(2), HOM(2) and SIM(2) remain preserved [3]. Here we are interested primarily in the subgroups HOM(2) and SIM(2). Let J and K represent generators of rotations and boosts, respectively. The generators of HOM(2) are T1 = K x + Jy , T2 = K y − Jx and K z and those of SIM(2) are T1 , T2 , Jz and K z . This possibility is allowed as long as the discrete symmetries P, T, CP (or CT) are broken. It turns out that the dispersion relations of particles as well as several consequences of the special relativity, such as time dilation and velocity addition formula, remain unchanged in this framework [3].
a e-mail: [email protected] (corresponding author) b e-mail: [email protected]
0123456789().: V,-vol
123
679
Page 2 of 11
Eur. Phys. J. Plus
(2020) 135:679
It is generally believed that a Lorentz violating term which respects VSR is necessarily non-local [3]. In the action, such terms can be constructed by defining a null vector [3] n μ = (1, 0, 0, 1).
(1)
This vector is invariant under the T1 and T2
Data Loading...
