Simulations of the Sterile Neutrino Oscillations with a Crossing-Width Term

TL;DR

This paper introduces an algorithm for simulating collider events involving GeV-scale sterile neutrino oscillations with crossing-width effects, improving the theoretical modeling of their oscillation processes.

Contribution

The paper presents a novel algorithm and improved formulations for simulating sterile neutrino oscillations, incorporating crossing-width effects within quantum field theory frameworks.

Findings

Validated the algorithm's accuracy for collider event generation.

Enhanced the theoretical description of neutrino oscillations with crossing-widths.

Enabled simulation of sterile neutrino flight distances as internal lines in Feynman diagrams.

Abstract

In this paper, we present an algorithm to generate the collider events of the GeV-scale oscillating sterile neutrinos with the ready-made event generation tools in the case that the crossing-widths among the nearly-degenerate fermionic fields arise. We prove the validity of our algorithm, and adopt some tricks for practical calculations. The formulations of the particle oscillation processes are also improved in the framework of the quantum field theory, offering us the ability to simulate the flying distances of the oscillating intermediate sterile neutrinos while regarding them as the internal lines in the Feynmann diagrams.