Leading logarithms for the nucleon mass
(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.
Please use this url to cite or link to this publication:
https://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
- North-Holland
- external identifiers
-
- wos:000349499400026
- scopus:84922705896
- ISSN
- 0550-3213
- DOI
- 10.1016/j.nuclphysb.2014.12.015
- project
- Postdoc Alexey Vladimirov
- language
- English
- LU publication?
- yes
- id
- 078e48b9-cb00-428f-a1ea-7dca1e4b560a (old id 5176025)
- date added to LUP
- 2016-04-01 13:56:18
- date last changed
- 2024-01-09 20:51:47
@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 = {{North-Holland}}, series = {{Nuclear Physics, Section B}}, title = {{Leading logarithms for the nucleon mass}}, url = {{http://dx.doi.org/10.1016/j.nuclphysb.2014.12.015}}, doi = {{10.1016/j.nuclphysb.2014.12.015}}, volume = {{891}}, year = {{2015}}, }