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.

Details

Title
The three-pion K-matrix at NLO in ChPT
Author
Baeza-Ballesteros, Jorge 1   VIAFID ORCID Logo  ; Bijnens, Johan 2   VIAFID ORCID Logo  ; Husek, Tomáš 3   VIAFID ORCID Logo  ; Romero-López, Fernando 4   VIAFID ORCID Logo  ; Sharpe, Stephen R. 5   VIAFID ORCID Logo  ; Sjö, Mattias 6   VIAFID ORCID Logo 

1  IFIC, CSIC-Universitat de València, Paterna, Spain (GRID:grid.5338.d) (ISNI:0000 0001 2173 938X) 
2  Lund University, Department of Physics, Lund, Sweden (GRID:grid.4514.4) (ISNI:0000 0001 0930 2361) 
3  Charles University, Institute of Particle and Nuclear Physics, Prague, Czech Republic (GRID:grid.4491.8) (ISNI:0000 0004 1937 116X); University of Birmingham, School of Physics and Astronomy, Birmingham, UK (GRID:grid.6572.6) (ISNI:0000 0004 1936 7486) 
4  CTP, Massachusetts Institute of Technology, Cambridge, USA (GRID:grid.116068.8) (ISNI:0000 0001 2341 2786) 
5  University of Washington, Physics Department, Seattle, USA (GRID:grid.34477.33) (ISNI:0000 0001 2298 6657) 
6  Lund University, Department of Physics, Lund, Sweden (GRID:grid.4514.4) (ISNI:0000 0001 0930 2361); Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France (GRID:grid.469407.8) (ISNI:0000 0004 0541 9513) 
Pages
48
Publication year
2024
Publication date
Mar 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP03(2024)048
ProQuest document ID
2952667605
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.