Matter Effects on Mass Square Difference for Four Flavor Neutrino Oscillation

TL;DR

This paper investigates how matter effects influence the mass square differences in a four-flavor neutrino oscillation model, highlighting that only certain differences are affected by the presence of sterile neutrinos and energy variations.

Contribution

It provides a detailed analysis of matter effects on neutrino mass square differences in a 3+1 framework, emphasizing the selective influence on Delta21 and Delta31.

Findings

Delta21 and Delta31 vary with energy and Dirac phases in matter.

Sterile neutrino mass square differences remain unaffected by matter effects.

Percentage changes in mass square differences are quantified across energy ranges.

Abstract

We consider the matter effects on four flavor neutrino oscillation scheme (3+1). In presence of sterile neutrino, the simplest four flavor neutrino mixing there are six mixing angles and three Dirac CP phases. In this paper, we discuss about the sensitivity of mass square difference effects Delta21, Delta31, and Delta41 in the matter. We find that in presence of sterile neutrino for four flavor mixing framework, only solar mass square difference Delta21 and atmospheric neutrino mass square difference Delta31 change for different values of Dirac phases and energy. There is no change of sterile neutrino mass square differences. In this letter, we study the matter effects on neutrino mass square differences Delta21, Delta31, and Delta41 and calculate the percentage change with respect to the mass square difference in the matter by varying energy for four flavor framework.