Leading logarithms for the nucleon mass
(2015) In Nuclear Physics, Section B 891. p.700719 Abstract
 Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behavior of the nucleon mass up to fourloop order exactly and we present some results up to sixloop order as well as an allorder conjecture. The same methods allow to calculate the main logarithm multiplying the terms with fractional powers of the quark mass. We calculate thus the coefficients of m(2n+1) log((n1)) (mu(2)/m(2)) and m(2n+2) log(n) (mu(2)/m(2)) with m the lowestorder pion mass. A side result is the leading divergence for a general heavy baryon loop integral. (C) 2014 The Authors. Published by Elsevier B.V.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/5176025
 author
 Bijnens, Johan ^{LU} and Vladimirov, Alexey ^{LU}
 organization
 publishing date
 2015
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Nuclear Physics, Section B
 volume
 891
 pages
 700  719
 publisher
 Elsevier
 external identifiers

 wos:000349499400026
 scopus:84922705896
 ISSN
 05503213
 DOI
 10.1016/j.nuclphysb.2014.12.015
 language
 English
 LU publication?
 yes
 id
 078e48b9cb00428fa1ea7dca1e4b560a (old id 5176025)
 date added to LUP
 20150325 13:32:27
 date last changed
 20180529 10:22:11
@article{078e48b9cb00428fa1ea7dca1e4b560a, abstract = {Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behavior of the nucleon mass up to fourloop order exactly and we present some results up to sixloop order as well as an allorder conjecture. The same methods allow to calculate the main logarithm multiplying the terms with fractional powers of the quark mass. We calculate thus the coefficients of m(2n+1) log((n1)) (mu(2)/m(2)) and m(2n+2) log(n) (mu(2)/m(2)) with m the lowestorder pion mass. A side result is the leading divergence for a general heavy baryon loop integral. (C) 2014 The Authors. Published by Elsevier B.V.}, author = {Bijnens, Johan and Vladimirov, Alexey}, issn = {05503213}, language = {eng}, pages = {700719}, publisher = {Elsevier}, series = {Nuclear Physics, Section B}, title = {Leading logarithms for the nucleon mass}, url = {http://dx.doi.org/10.1016/j.nuclphysb.2014.12.015}, volume = {891}, year = {2015}, }