Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Six-meson amplitude in QCD-like theories

Bijnens, Johan LU orcid ; Husek, Tomáš LU and Sjö, Mattias LU (2022) In Physical Review D 106(5).
Abstract

We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with n degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real and pseudoreal representations, i.e. with global symmetry and breaking patterns SU(n)×SU(n)/SU(n) (extending the QCD case), SU(2n)/SO(2n), and SU(2n)/Sp(2n). In case of the one-particle-irreducible part, we obtain analytical expressions in terms of ten six-meson subamplitudes based on the flavor and group structures. We extend on our previous results obtained within the framework of the O(N+1)/O(N) nonlinear sigma model, with N being the number of meson flavors. This work allows for... (More)

We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with n degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real and pseudoreal representations, i.e. with global symmetry and breaking patterns SU(n)×SU(n)/SU(n) (extending the QCD case), SU(2n)/SO(2n), and SU(2n)/Sp(2n). In case of the one-particle-irreducible part, we obtain analytical expressions in terms of ten six-meson subamplitudes based on the flavor and group structures. We extend on our previous results obtained within the framework of the O(N+1)/O(N) nonlinear sigma model, with N being the number of meson flavors. This work allows for studying a number of properties of six-particle amplitudes at one-loop level.

(Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D
volume
106
issue
5
article number
054021
pages
21 pages
publisher
American Physical Society
external identifiers
  • scopus:85139120315
ISSN
2470-0010
DOI
10.1103/PhysRevD.106.054021
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2022 authors. Published by the American Physical Society.
id
b2ffcc77-60c1-431e-9da8-4d81c5dcd9ea
date added to LUP
2022-10-24 10:07:45
date last changed
2024-04-18 03:02:22
@article{b2ffcc77-60c1-431e-9da8-4d81c5dcd9ea,
  abstract     = {{<p>We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with n degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real and pseudoreal representations, i.e. with global symmetry and breaking patterns SU(n)×SU(n)/SU(n) (extending the QCD case), SU(2n)/SO(2n), and SU(2n)/Sp(2n). In case of the one-particle-irreducible part, we obtain analytical expressions in terms of ten six-meson subamplitudes based on the flavor and group structures. We extend on our previous results obtained within the framework of the O(<i>N</i>+1)/O(<i>N</i>) nonlinear sigma model, with <i>N</i> being the number of meson flavors. This work allows for studying a number of properties of six-particle amplitudes at one-loop level.</p>}},
  author       = {{Bijnens, Johan and Husek, Tomáš and Sjö, Mattias}},
  issn         = {{2470-0010}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review D}},
  title        = {{Six-meson amplitude in QCD-like theories}},
  url          = {{http://dx.doi.org/10.1103/PhysRevD.106.054021}},
  doi          = {{10.1103/PhysRevD.106.054021}},
  volume       = {{106}},
  year         = {{2022}},
}