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Leading logarithms for the nucleon mass

Bijnens, Johan LU and Vladimirov, Alexey LU (2015) In Nuclear Physics, Section B 891. p.700-719
Abstract
Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behavior of the nucleon mass up to four-loop order exactly and we present some results up to six-loop order as well as an all-order 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((n-1)) (mu(2)/m(2)) and m(2n+2) log(n) (mu(2)/m(2)) with m the lowest-order 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.
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author
organization
publishing date
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
0550-3213
DOI
10.1016/j.nuclphysb.2014.12.015
language
English
LU publication?
yes
id
078e48b9-cb00-428f-a1ea-7dca1e4b560a (old id 5176025)
date added to LUP
2015-03-25 13:32:27
date last changed
2017-01-01 05:57:45
@article{078e48b9-cb00-428f-a1ea-7dca1e4b560a,
  abstract     = {Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behavior of the nucleon mass up to four-loop order exactly and we present some results up to six-loop order as well as an all-order 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((n-1)) (mu(2)/m(2)) and m(2n+2) log(n) (mu(2)/m(2)) with m the lowest-order 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         = {0550-3213},
  language     = {eng},
  pages        = {700--719},
  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},
}