Johan Bijnens
Professor, Deputy Head of Division
Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
Author
Summary, in English
We extend earlier work on leading logarithms in the massive nonlinear O(n) sigma model to the case of SU(N) x SU(N)/SU(N) which coincides with mesonic Chiral Perturbation Theory for N flavours of light quarks. We discuss the leading logarithms for the mass and decay constant to six loops and for the vacuum expectation value ((q) over barq) to seven loops. For dynamical quantities the expressions grow extremely large much faster such that we only quote the leading logarithms to five loops for the vector and scalar form factor and for meson-meson scattering. The last quantity we consider is the vector-vector to meson-meson amplitude where we quote results up to four loops for a subset of quantities, in particular for the pion polarizabilities. As a side result we provide an elementary proof that the factors of N appearing at each loop order are odd or even depending on the order and the remaining traces over external flavours. (C) 2013 Published by Elsevier B.V.
Department/s
- Theoretical Particle Physics - Has been reorganised
Publishing year
2013
Language
English
Pages
137-164
Publication/Series
Nuclear Physics, Section B
Volume
873
Issue
1
Links
Document type
Journal article
Publisher
North-Holland
Topic
- Subatomic Physics
Keywords
- Renormalization group evolution of parameters
- Spontaneous and radiative
- symmetry breaking
- Chiral Lagrangians
- Meson-meson interactions
Status
Published
ISBN/ISSN/Other
- ISSN: 0550-3213