Regular Article - Theoretical Physics
On possibility of time reversal symmetry violation in neutrino elastic scattering on polarized electron target
Institute of Theoretical Physics, University of Wrocław, Pl. M. Born 9, 50-204, Wrocław, Poland
* e-mail: firstname.lastname@example.org
Accepted: 25 February 2018
Published online: 9 March 2018
In this paper we indicate a possibility of utilizing the elastic scattering of Dirac low-energy ( MeV) electron neutrinos (s) on a polarized electron target (PET) in testing the time reversal symmetry violation (TRSV). We consider a scenario in which the incoming beam is a superposition of left chiral (LC) and right chiral (RC) states. LC interact mainly by the standard and small admixture of non-standard scalar , pseudoscalar , tensor interactions, while RC ones are only detected by the exotic and interactions. As a result of the superposition of the two chiralities the transverse components of spin polarization (T-even and T-odd) may appear. We compute the differential cross section as a function of the recoil electron azimuthal angle and scattered electron energy, and show how the interference terms between standard and exotic couplings depend on the various angular correlations among the transversal spin polarization, the polarization of the electron target, the incoming neutrino momentum and the outgoing electron momentum in the limit of relativistic . We illustrate how the maximal value of recoil electrons azimuthal asymmetry and the asymmetry axis location of outgoing electrons depend on the azimuthal angle of the transversal component of the spin polarization, both for the time reversal symmetry conservation (TRSC) and TRSV. Next, we display that the electron energy spectrum and polar angle distribution of the recoil electrons are also sensitive to the interference terms between and couplings, proportional to the T-even and T-odd angular correlations among the transversal polarization, the electron polarization of the target, and the incoming momentum, respectively. We also discuss the possibility of testing the TRSV by observing the azimuthal asymmetry of outgoing electrons, using the PET without the impact of the transversal polarization related to the production process. In this scenario the predicted effects depend only on the interferences between and couplings. Our model-independent analysis is carried out for the flavor . To make such tests feasible, the intense (polarized) artificial source, PET and the appropriate detector measuring the directionality of the outgoing electrons and/or the recoil electrons energy with a high resolution have to be identified.
© The Author(s), 2018