The isospin-3 three-particle $K$-matrix at NLO in ChPT
High Energy Physics - Phenomenology
2023-05-25 v2 High Energy Physics - Lattice
Nuclear Theory
Abstract
The three-particle -matrix, , is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values to existing lattice QCD results and find that the agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of is significantly improved with respect to leading order once NLO effects are incorporated.
Keywords
Cite
@article{arxiv.2303.13206,
title = {The isospin-3 three-particle $K$-matrix at NLO in ChPT},
author = {Jorge Baeza-Ballesteros and Johan Bijnens and Tomáš Husek and Fernando Romero-López and Stephen R. Sharpe and Mattias Sjö},
journal= {arXiv preprint arXiv:2303.13206},
year = {2023}
}
Comments
57 pages, 12 figures, 2 tables; v2: added sec. 2.3, minor changes, typos corrected, conclusions unchanged, version published in JHEP