One-loop contributions in the EFT for the $\Lambda N \to NN$ transition

TL;DR

This paper calculates one-loop corrections within an effective field theory framework for the weak $ ext{Lambda N} o NN$ transition, crucial for understanding hypernuclei decay, providing explicit expressions for all relevant diagrams.

Contribution

It introduces the computation of next-to-leading one-loop corrections in the EFT for the $ ext{Lambda N} o NN$ transition, extending previous leading-order analyses.

Findings

Explicit one-loop correction expressions are derived.

All relevant partial waves are included.

The results improve the theoretical description of hypernuclei decay.

Abstract

We consider the $\Lambda N\to NN$ weak transition, responsible for a large fraction of the non-mesonic weak decay of hypernuclei. We follow on the previously derived effective field theory and compute the next-to-leading one-loop corrections. Explicit expressions for all diagrams are provided, which result in contributions to all relevant partial waves.