The bottom-quark mass from non-relativistic sum rules at NNNLO

Nov 12, 2014
31 pages
Published in:
  • Nucl.Phys.B 891 (2015) 42-72
  • Published: Dec 1, 2014
e-Print:
Report number:
  • TUM-HEP-966-14,
  • SFB-CPP-14-88

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Abstract: (Elsevier)
We determine the mass of the bottom quark from high moments of the bb¯ production cross section in e+e− annihilation, which are dominated by the threshold region. On the theory side next-to-next-to-next-to-leading order (NNNLO) calculations both for the resonances and the continuum cross section are used for the first time. We find mbPS(2 GeV)=4.532−0.039+0.013 GeV for the potential-subtracted mass and mbMS¯(mbMS¯)=4.193−0.035+0.022 GeV for the MS¯ bottom-quark mass.
Note:
  • 37 pages, 5 figures. Minor change in charm-effect uncertainty, update of conversion uncertainty for MSbar mass, added clarifications and references
  • bottom: mass
  • electron positron: annihilation
  • sum rule: nonrelativistic
  • bottom: production
  • quark: mass
  • higher-order: 3
  • cross section
  • moment: high