The three-pion K -matrix at NLO in ChPT

Jorge Baeza-Ballesteros; Johan Bijnens; Tomáš Husek; Fernando Romero-López; Stephen R. Sharpe; Mattias Sjö

doi:10.1007/jhep03(2024)048

The three-pion K -matrix at NLO in ChPT

Jorge Baeza-Ballesteros, Johan Bijnens, Tomáš Husek^*, Fernando Romero-López, Stephen R. Sharpe, Mattias Sjö

^*Corresponding author for this work

Physics and Astronomy

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Abstract

The three-particle K-matrix, Kdf, 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 in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.

Original language	English
Article number	48
Number of pages	43
Journal	Journal of High Energy Physics
Volume	2024
Issue number	3
DOIs	https://doi.org/10.1007/jhep03(2024)048
Publication status	Published - 8 Mar 2024

Bibliographical note

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 Ministerio de Ciencia e Innovación project PID2020-113644GB-I00. The work of JB and MS was supported by the Swedish Research Council grants contract numbers 2016-05996 and 2019-03779; MS also received support from the French government under the France 2030 investment plan, as part of the “Initiative d’Excellence d’Aix-Marseille Université — A*MIDEX” under grant AMX-22-RE-AB-052. 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. TH was supported by the Czech Science Foundation grant 23-06770S, by the Charles University grant PRIMUS 23/SCI/025, and by the MSCA Fellowships CZ — UK2 project No. CZ.02.01.01/00/22_010/0008115 financed by Programme Johannes Amos Comenius (OP JAK). 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.

Keywords

Chiral Lagrangian
Hadronic Spectroscopy
Structure and Interactions
Lattice QCD

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Cite this

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title = "The three-pion K -matrix at NLO in ChPT",

abstract = "The three-particle K-matrix, Kdf, 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 in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.",

keywords = "Chiral Lagrangian, Hadronic Spectroscopy, Structure and Interactions, Lattice QCD",

author = "Jorge Baeza-Ballesteros and Johan Bijnens and Tom{\'a}{\v s} Husek and Fernando Romero-L{\'o}pez and Sharpe, {Stephen R.} and Mattias Sj{\"o}",

note = "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 Ministerio de Ciencia e Innovaci{\'o}n project PID2020-113644GB-I00. The work of JB and MS was supported by the Swedish Research Council grants contract numbers 2016-05996 and 2019-03779; MS also received support from the French government under the France 2030 investment plan, as part of the “Initiative d{\textquoteright}Excellence d{\textquoteright}Aix-Marseille Universit{\'e} — A*MIDEX” under grant AMX-22-RE-AB-052. 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. TH was supported by the Czech Science Foundation grant 23-06770S, by the Charles University grant PRIMUS 23/SCI/025, and by the MSCA Fellowships CZ — UK2 project No. CZ.02.01.01/00/22_010/0008115 financed by Programme Johannes Amos Comenius (OP JAK). 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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AU - Sharpe, Stephen R.

AU - Sjö, Mattias

N1 - 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 Ministerio de Ciencia e Innovación project PID2020-113644GB-I00. The work of JB and MS was supported by the Swedish Research Council grants contract numbers 2016-05996 and 2019-03779; MS also received support from the French government under the France 2030 investment plan, as part of the “Initiative d’Excellence d’Aix-Marseille Université — A*MIDEX” under grant AMX-22-RE-AB-052. 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. TH was supported by the Czech Science Foundation grant 23-06770S, by the Charles University grant PRIMUS 23/SCI/025, and by the MSCA Fellowships CZ — UK2 project No. CZ.02.01.01/00/22_010/0008115 financed by Programme Johannes Amos Comenius (OP JAK). 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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N2 - The three-particle K-matrix, Kdf, 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 in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.

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KW - Hadronic Spectroscopy

KW - Structure and Interactions

KW - Lattice QCD

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JO - Journal of High Energy Physics

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IS - 3

M1 - 48

ER -

The three-pion K -matrix at NLO in ChPT

Abstract

Bibliographical note

Keywords

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