Leading logarithms in Nflavour mesonic Chiral Perturbation Theory
(2013) In Nuclear Physics, Section B 873(1). p.137164 Abstract
 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 mesonmeson scattering. The last quantity we consider is the vectorvector to mesonmeson amplitude where we quote results up to four loops for a subset of quantities, in particular for the pion... (More)
 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 mesonmeson scattering. The last quantity we consider is the vectorvector to mesonmeson 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3930508
 author
 Bijnens, Johan ^{LU} ; Kampf, Karol and Lanz, Stefan
 organization
 publishing date
 2013
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Renormalization group evolution of parameters, Spontaneous and radiative, symmetry breaking, Chiral Lagrangians, Mesonmeson interactions
 in
 Nuclear Physics, Section B
 volume
 873
 issue
 1
 pages
 137  164
 publisher
 NorthHolland
 external identifiers

 wos:000319794000005
 scopus:84877109848
 ISSN
 05503213
 DOI
 10.1016/j.nuclphysb.2013.04.012
 language
 English
 LU publication?
 yes
 id
 ec5e6b8622b84bda971185cf6c3c46ef (old id 3930508)
 date added to LUP
 20160401 14:36:00
 date last changed
 20200902 02:19:19
@article{ec5e6b8622b84bda971185cf6c3c46ef, abstract = {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 mesonmeson scattering. The last quantity we consider is the vectorvector to mesonmeson 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.}, author = {Bijnens, Johan and Kampf, Karol and Lanz, Stefan}, issn = {05503213}, language = {eng}, number = {1}, pages = {137164}, publisher = {NorthHolland}, series = {Nuclear Physics, Section B}, title = {Leading logarithms in Nflavour mesonic Chiral Perturbation Theory}, url = {http://dx.doi.org/10.1016/j.nuclphysb.2013.04.012}, doi = {10.1016/j.nuclphysb.2013.04.012}, volume = {873}, year = {2013}, }