Abstract
The three-particle K-matrix, \( {\mathcal{K}}_{\textrm{df},3} \), 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 \( {\mathcal{K}}_{\textrm{df},3} \) is significantly improved with respect to leading order once NLO effects are incorporated.
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Acknowledgments
The work of JBB was supported by the Spanish MU grant FPU19/04326. Additionally, JBB received support from the European project H2020-MSCA-ITN-2019//860881-HIDDeN and the staff exchange grant 101086085-ASYMMETRY, and from the Spanish AEI project PID2020-113644GB-I00/AEI/10.13039/501100011033. The work of FRL was supported in part by the U.S. Department of Energy (USDOE), Office of Science, Office of Nuclear Physics, under grant Contract Numbers DE-SC0011090 and DE-SC0021006. FRL also acknowledges financial support by the Mauricio and Carlota Botton Fellowship. The work of JB, TH and MS was supported by the Swedish Research Council grants contract numbers 2016-05996 and 2019-03779. TH also acknowledges support from Charles University Research Center (UNCE/SCI/013), Czech Republic. The work of SRS was supported in part by the USDOE grant No. DE-SC0011637.
JBB and FRL would like to thank the Physics Department at the University of Washington for its hospitality during a visit in which this work was initiated.
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Baeza-Ballesteros, J., Bijnens, J., Husek, T. et al. The isospin-3 three-particle K-matrix at NLO in ChPT. J. High Energ. Phys. 2023, 187 (2023). https://doi.org/10.1007/JHEP05(2023)187
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DOI: https://doi.org/10.1007/JHEP05(2023)187