Solar Neutrinos and Leptonic CP Violation

TL;DR

This paper investigates the potential to detect leptonic CP violation through solar neutrino measurements, concluding that such effects are negligible at leading order and practically undetectable at higher orders.

Contribution

It proves a no-go theorem showing CP violation effects vanish at leading order in solar neutrino survival probability, highlighting the difficulty of detection.

Findings

CP violation effects vanish at leading order in solar neutrino survival probability.

Next-to-leading order effects are extremely small and practically undetectable.

The study sets fundamental limits on observing leptonic CP violation via solar neutrinos.

Abstract

We examine the possibility of detecting effects of leptonic CP violation by precise measurement of the solar neutrinos within the framework of standard electroweak theory minimally extended to include neutrino masses and mixing. We prove a ``no-go theorem'' which states that effects of CP violating phase disappear in the nu_e survival probability to the leading order in electroweak interaction. The effects due to the next-to-leading order correction is estimated to be extremely small, effectively closing the door to the possibility we intended to pursue.