Bottom Mass from Nonrelativistic Sum Rules at NNLL
Abstract
We report on a recent determination of the bottom quark mass from nonrelativistic (large-n) Upsilon sum rules with renormalization group improvement (RGI) at next-to-next-to-leading logarithmic (NNLL) order. The comparison to previous fixed-order analyses shows that the RGI computed in the vNRQCD framework leads to a substantial stabilization of the theoretical sum rule moments with respect to scale variations. A single moment fit (n=10) to the available experimental data yields M_b^{1S}=4.755 +- 0.057(pert) +- 0.009(alpha_s) +- 0.003(exp) GeV for the bottom 1S mass and m_b(m_b)= 4.235 +- 0.055(pert) +- 0.003(exp) GeV for the bottom MSbar mass. The quoted uncertainties refer to the perturbative error and the uncertainties associated with the strong coupling and the experimental input.
Keywords
Cite
@article{arxiv.1301.3493,
title = {Bottom Mass from Nonrelativistic Sum Rules at NNLL},
author = {Maximilian Stahlhofen},
journal= {arXiv preprint arXiv:1301.3493},
year = {2013}
}
Comments
9 pages, 3 figures, to appear in the proceedings of Xth Quark Confinement and the Hadron Spectrum; minor changes, references added