Quark Mass Relations to Four-Loop Order in Perturbative QCD

Feb 3, 2015
6 pages
Published in:
  • Phys.Rev.Lett. 114 (2015) 14, 142002
  • Published: Apr 7, 2015
e-Print:
Report number:
  • DESY-15-013,
  • TTP15-01,
  • SFB-CPP-14-120

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Abstract: (APS)
We present results for the relation between a heavy quark mass defined in the on-shell and minimal subtraction (MS¯) scheme to four-loop order. The method to compute the four-loop on-shell integral is briefly described and the new results are used to establish relations between various short-distance masses and the MS¯ quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the MS¯ heavy quark masses.
Note:
  • 6 pages, v2: references added, typos in eq.(16) fixed, matches published version
  • 12.38.Bx
  • 12.38.Cy
  • 14.65.Fy
  • 14.65.Ha
  • quark: mass
  • heavy quark: mass
  • quantum chromodynamics: perturbation theory
  • higher-order: 3
  • renormalization
  • numerical calculations