Some constraints on the Yukawa parameters in the neutrino modification of the Standard Model (nuMSM) and CP-violation

TL;DR

This paper derives explicit relations between Yukawa matrix elements and active neutrino masses in the u MSM, providing new constraints on model parameters and insights into CP-violation and baryon asymmetry.

Contribution

It presents explicit relations connecting Yukawa parameters to neutrino masses in the u MSM, enabling more precise constraints and analysis of CP-violation effects.

Findings

Derived explicit relations for Yukawa and neutrino mass matrix elements.

Showed baryon asymmetry can arise even with real active neutrino mass elements.

Provided constraints on u MSM model parameters.

Abstract

The equations connecting elements of the Yukawa matrix to elements of the active neutrino mass matrix in the \nu MSM theory (an extension of the Standard Model by a singlet of three right-handed neutrinos) was analyzed, and explicit relations for the ratio of the Yukawa matrix elements through elements of the active neutrino mass matrix were obtained. This relation can be used for getting more accurate constraints on the model parameters. Particularly, with the help of the obtained results we investigated CP-violating phase in the \nu MSM theory. We demonstrate that even in the case when elements of the active neutrino mass matrix are real the baryon asymmetry can be generated also.