Bottom quark mass with calibrated uncertainty

Abstract We determine the bottom quark mass $${\hat{m}}_b$$ m ^ b from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD to $${{\mathcal {O}}} ({\hat{\alpha }}_s^3)$$ O ( α ^ s 3 ) . Our approach is based on the mutual consistency across a set of moments where...

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Bibliographic Details
Main Authors: Jens Erler, Hubert Spiesberger, Pere Masjuan
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10982-x
Description
Summary:Abstract We determine the bottom quark mass $${\hat{m}}_b$$ m ^ b from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD to $${{\mathcal {O}}} ({\hat{\alpha }}_s^3)$$ O ( α ^ s 3 ) . Our approach is based on the mutual consistency across a set of moments where experimental data are required for the resonance contributions only. Additional experimental information from the continuum region can then be used for stability tests and to assess the theoretical uncertainty. We find $${\hat{m}}_b({\hat{m}}_b) = (4180.2 \pm 7.9)$$ m ^ b ( m ^ b ) = ( 4180.2 ± 7.9 )  MeV for $${\hat{\alpha }}_s(M_Z) = 0.1182$$ α ^ s ( M Z ) = 0.1182 .
ISSN:1434-6052