Weinberg sum rules at NLO in 1/Nc
High Energy Physics - Phenomenology
2014-11-20 v1
Abstract
We study the relevance of different renormalization schemes in Resonance Chiral Theory. The SS-PP correlator is explicitly computed at the one-loop level. Demanding the operator product expansion behaviour at short distances produces a new set of constraints, as some logarithmic terms are absent at high energies. Likewise, the loops induce subleading corrections in 1/Nc to the leading-order constraints, the Weinberg sum rules. We find that the short-distance conditions from a minimally subtracted scheme generate large uncertainties which, alternatively, can be largely simplified in other schemes.
Keywords
Cite
@article{arxiv.0912.2068,
title = {Weinberg sum rules at NLO in 1/Nc},
author = {J. J. Sanz-Cillero and J. Trnka},
journal= {arXiv preprint arXiv:0912.2068},
year = {2014}
}
Comments
4 pages, to appear in the Proceedings of the conference Chiral Dynamics, Bern, 6-10 July 2009. PoS style