PoS - Proceedings of Science
Volume 290 - 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) (RADCOR2017) - Effective Field Theories / SCET
On the light massive flavor dependence of the top quark mass
A.H. Hoang, C. Lepenik* and M. Preisser
Full text: pdf
Pre-published on: March 08, 2018
Published on: July 02, 2018
Abstract
We provide a systematic renormalization group formalism to study the mass effects in the relation of the pole mass and short-distance masses such as the $\overline{\mathrm{MS}}$ mass of a heavy quark $Q$, coming from virtual loop insertions of massive quarks lighter than $Q$ with the main focus on the top quark.
The formalism reflects the constraints from heavy quark symmetry and entails a combined matching and evolution procedure that allows to disentangle and successively integrate out the corrections coming from the lighter massive quarks and the momentum regions between them and also to precisely control the large order asymptotic behavior.
The formalism is used to study the asymptotic behavior of light massive flavor contributions and is applied to predict the ${\cal O}(\alpha_s^4)$ virtual quark mass corrections, calculate the pole mass differences for massive quark flavors with a precision of around 20 MeV, and determine the pole mass ambiguity which amounts to 250 MeV in the physical case of three massless quark flavors.
DOI: https://doi.org/10.22323/1.290.0051
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