The isospin-3 three-particle $K$-matrix at NLO in ChPT

Charles U.); Fernando Romero-L\'opez (MIT); Johan Bijnens (Lund U.); Jorge Baeza-Ballesteros (IFIC; Mattias Sj\"o (Lund U.); Stephen R. Sharpe (Washington U.); Tom\'a\v{s} Husek (Lund U.; Valencia)

The isospin-3 three-particle $K$-matrix at NLO in ChPT

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arxiv 2303.13206 v2 pith:TZ4VLJV3 submitted 2023-03-23 hep-ph hep-latnucl-th

Jorge Baeza-Ballesteros (IFIC , Valencia) , Johan Bijnens (Lund U.) , Tomáš Husek (Lund U. , Charles U.) , Fernando Romero-López (MIT) , Stephen R. Sharpe (Washington U.) , Mattias Sjö (Lund U.) This is my paper · ORCID

classification hep-phhep-latnucl-th

keywords three-particlechptlatticemathcalmathrmmatrixorderagreement

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abstract

The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, 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 $\mathcal{K}_{\mathrm{df},3}$ is significantly improved with respect to leading order once NLO effects are incorporated.

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