Quark mass difference effects in hadronic Fermi matrix elements from first principles
High Energy Physics - Phenomenology
2023-11-01 v2 High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Experiment
Nuclear Theory
Abstract
It was recently estimated that the strong isospin-symmetry breaking (ISB) corrections to the Fermi matrix element in free neutron decay could be of the order , one order of magnitude larger than the na\"{\i}ve estimate based on the Behrends-Sirlin-Ademollo-Gatto theorem. To investigate this claim, we derive a general expression of the leading ISB correction to hadronic Fermi matrix elements, which takes the form of a four-point correlation function in lattice gauge theory and is straightforward to compute from first principles. Our formalism paves the way for the first determination of such correction in the neutron sector with fully-controlled theory uncertainties.
Keywords
Cite
@article{arxiv.2306.10199,
title = {Quark mass difference effects in hadronic Fermi matrix elements from first principles},
author = {Chien-Yeah Seng and Vincenzo Cirigliano and Xu Feng and Mikhail Gorchtein and Luchang Jin and Gerald A. Miller},
journal= {arXiv preprint arXiv:2306.10199},
year = {2023}
}
Comments
Version accepted by PLB