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

A bstract 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 at maximal isospin throug...

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Bibliographic Details
Published in:The journal of high energy physics 2023-05, Vol.2023 (5), p.187-56, Article 187
Main Authors: Baeza-Ballesteros, Jorge, Bijnens, Johan, Husek, Tomáš, Romero-López, Fernando, Sharpe, Stephen R., Sjö, Mattias
Format: Article
Language:English
Subjects:
Chiral dynamics
Chiral Lagrangian
Classical and Quantum Gravitation
Elementary Particles
Field theory
Fysik
Hadronic Spectroscopy
High energy physics
Integral equations
Lattice QCD
Natural Sciences
Naturvetenskap
Particle interactions
Perturbation theory
Physical Sciences
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pions
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativistic particles
Relativistic theory
Relativity Theory
Spectrum analysis
String Theory
Structure and Interactions
Subatomic Physics
Subatomär fysik
Thermal expansion
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Summary:A bstract 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 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 K df , 3 is significantly improved with respect to leading order once NLO effects are incorporated.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2023)187