Charged lepton contributions to bipair neutrino mixing

TL;DR

This paper investigates how charged lepton contributions can minimally modify bipair neutrino mixing to align with observed reactor mixing angles, identifying specific contributions needed in two cases.

Contribution

It demonstrates that minimal modifications to bipair neutrino mixing can be achieved through specific charged lepton contributions without arbitrary phases.

Findings

Case 1 requires only an $e$-$\tau$ contribution.

Case 2 requires both $e$-$\tau$ and $\mu$-$\tau$ contributions.

Minimal modifications can reconcile bipair mixing with experimental data.

Abstract

The bipair neutrino mixing describes the observed solar and atmospheric mixings; however, it predicts vanishing reactor mixing angle, which is inconsistent with the observed data. We explore the ways of minimally modifying the bipair neutrino mixing by including charged lepton contributions. There are two categories of the bipair neutrino mixing which are referred to as case 1 and case 2. It turns out that, without arbitrary phases, a minimal modification is realized by just considering one $e$ - $\tau$ contribution from the charged lepton sector in the case 1. On the other hand, not only $e$ - $\tau$ contribution but also $\mu$ - $\tau$ contribution is required to realize a minimal modification in the case 2.