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

Particle and nuclear physics

Research output: Contribution to journal › Article › peer-review

Abstract

The three-particle K-matrix, K_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 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
Journal	Journal of High Energy Physics
Volume	2024
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2024)048
Publication status	Published - 2024 Mar

Subject classification (UKÄ)

Algebra and Logic

Free keywords

Chiral Lagrangian
Hadronic Spectroscopy
Lattice QCD
Structure and Interactions

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10.1007/JHEP03(2024)048Licence: CC BY

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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, Lattice QCD, Structure and Interactions",

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}",

year = "2024",

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T1 - The three-pion K-matrix at NLO in ChPT

AU - Baeza-Ballesteros, Jorge

AU - Bijnens, Johan

AU - Husek, Tomáš

AU - Romero-López, Fernando

AU - Sharpe, Stephen R.

AU - Sjö, Mattias

PY - 2024/3

Y1 - 2024/3

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.

AB - 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.

KW - Chiral Lagrangian

KW - Hadronic Spectroscopy

KW - Lattice QCD

KW - Structure and Interactions

U2 - 10.1007/JHEP03(2024)048

DO - 10.1007/JHEP03(2024)048

M3 - Article

AN - SCOPUS:85187417927

SN - 1029-8479

VL - 2024

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 48

ER -

The three-pion K-matrix at NLO in ChPT

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