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Meson-meson scattering in QCD-like theories

Bijnens, Johan LU and Lu, Jie LU (2011) In Journal of High Energy Physics
Abstract
We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general n degenerate flavours for the cases with a complex, real and pseudo-real representation. i.e. with global symmetry and breaking pattern SU(n)(L) x SU(n)(R) -> SU(n)(V), SU(2n) -> SO(2n) and SU(2n) -> Sp(2n). We obtain fully analytical expressions for all these cases. We discuss the general structure of the amplitude and the structure of the possible intermediate channels for all three cases. We derive the expressions for the lowest partial wave scattering length in each channel and present some representative numerical results. We also show various relations between the different cases in the limit of large... (More)
We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general n degenerate flavours for the cases with a complex, real and pseudo-real representation. i.e. with global symmetry and breaking pattern SU(n)(L) x SU(n)(R) -> SU(n)(V), SU(2n) -> SO(2n) and SU(2n) -> Sp(2n). We obtain fully analytical expressions for all these cases. We discuss the general structure of the amplitude and the structure of the possible intermediate channels for all three cases. We derive the expressions for the lowest partial wave scattering length in each channel and present some representative numerical results. We also show various relations between the different cases in the limit of large n. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Spontaneous Symmetry Breaking, Lattice Gauge Field Theories, Chiral, Lagrangians, Technicolor and Composite Models
in
Journal of High Energy Physics
issue
3
publisher
Springer
external identifiers
  • wos:000289295200028
  • scopus:80053137898
ISSN
1126-6708
DOI
10.1007/JHEP03(2011)028
language
English
LU publication?
yes
id
1a0c0c0f-a442-4e8b-8abf-fddd810a632c (old id 1964942)
date added to LUP
2011-05-23 12:45:07
date last changed
2017-10-22 03:26:55
@article{1a0c0c0f-a442-4e8b-8abf-fddd810a632c,
  abstract     = {We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general n degenerate flavours for the cases with a complex, real and pseudo-real representation. i.e. with global symmetry and breaking pattern SU(n)(L) x SU(n)(R) -> SU(n)(V), SU(2n) -> SO(2n) and SU(2n) -> Sp(2n). We obtain fully analytical expressions for all these cases. We discuss the general structure of the amplitude and the structure of the possible intermediate channels for all three cases. We derive the expressions for the lowest partial wave scattering length in each channel and present some representative numerical results. We also show various relations between the different cases in the limit of large n.},
  author       = {Bijnens, Johan and Lu, Jie},
  issn         = {1126-6708},
  keyword      = {Spontaneous Symmetry Breaking,Lattice Gauge Field Theories,Chiral,Lagrangians,Technicolor and Composite Models},
  language     = {eng},
  number       = {3},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Meson-meson scattering in QCD-like theories},
  url          = {http://dx.doi.org/10.1007/JHEP03(2011)028},
  year         = {2011},
}