[Submitted on 23 Mar 2023] (cross-list from hep-ph)
The isospin-3 three-particle -matrix at NLO in ChPT
Jorge Baeza-Ballesteros (IFIC, Valencia)🇪🇸 · Johan Bijnens (Lund U.)🇸🇪 · Tomáš Husek (Lund U. and Charles U.)🇨🇿 · Fernando Romero-López (MIT)🇺🇸 · Stephen R. Sharpe (Washington U.)🇺🇸 · Mattias Sjö (Lund U.)🇸🇪
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.
- Comments:
- 57 pages, 12 figures, 2 tables; v2: added sec. 2.3, minor changes, typos corrected, conclusions unchanged, version published in JHEP
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2303.13206 [pdf]