Renormalization group improved bottom mass from upsilon sum rules at NNLL order

Autor(en)
André H. Hoang, Pedro David Ruiz-Femenia, Maximilian Stahlhofen
Abstrakt

We determine the bottom quark mass from non-relativistic large-n Upsilon sum rules with renormalization group improvement at next-to-next-to-leading logarithmic order. We compute the theoretical moments within the vNRQCD formalism and account for the summation of powers of the Coulomb singularities as well as of logarithmic terms proportional to powers of alpha_s ln(n). The renormalization group improvement leads to a substantial stabilization of the theoretical moments compared to previous fixed-order analyses, which did not account for the systematic treatment of the logarithmic alpha_s ln(n) terms, and allows for reliable single moment fits. For the current world average of the strong coupling (alpha_s(M_Z) = 0.1183 +- 0.0010) we obtain 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, where we have quoted the perturbative error and the uncertainties from the strong coupling and the experimental data.

Organisation(en)
Teilchenphysik
Journal
Journal of High Energy Physics
Band
2012
Anzahl der Seiten
29
ISSN
1029-8479
Publikationsdatum
2012
Peer-reviewed
Ja
ÖFOS 2012
103034 Teilchenphysik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/renormalization-group-improved-bottom-mass-from-upsilon-sum-rules-at-nnll-order(fe5a0153-07db-4c1b-ab83-38fc1d06ccbd).html