Cross-sections of long and short baseline neutrino and antineutrino oscillations of which some change the flavor

TL;DR

This paper explores how modifications to the neutrino electroweak Lagrangian lead to additional infinitesimal cross-sections that can oscillate and violate Lorentz and flavor symmetries, affecting neutrino flavor change over distance.

Contribution

It introduces a perturbative approach to neutrino cross-sections that includes Lorentz and flavor symmetry violations, extending into the oscillation region beyond collisions.

Findings

Identification of sinusoidal infinitesimal cross-sections that change sign along the baseline.

Extension of these cross-sections into the oscillation region beyond the collision point.

Determination of the baseline distance to the first maximum of these oscillations.

Abstract

The Pontecorvo-Maki-Nakagava-Sakata (PMNS) modified electroweak Lagrangian yields, within the perturbative kinematical procedure in the massive neutrino Fock space, in addition to the Lorentz invariant standard model (SM) neutrino and antineutrino cross-sections, also the "infinitesimal" neutrino and antineutrino cross-sections some of which are either conserving or violating the Lorentz symmetry as well as also either conserving or violating the flavor symmetry. Some of these infinitesimal differential cross-sections can be extended into the space oscillation region beyond the collision point. The extension goes along the baseline defined by the flavor neutrino or antineutrino scattering angle. Each of these oscillation differential cross-sections, being sinusoidal, change sign along the baseline; some start positive and some negative at the collision point. For each of them one seeks the baseline distance to the first differential cross-section maximum.