Infrared Renormalization Group Flow for Heavy Quark Masses

Mar, 2008
5 pages
Published in:
  • Phys.Rev.Lett. 101 (2008) 151602
e-Print:
Report number:
  • MIT-CTP-3940,
  • MPP-2008-24

Citations per year

20082012201620202024051015
Abstract: (arXiv)
A short-distance heavy quark mass depends on two parameters, the renormalization scale mu controlling the absorption of ultraviolet fluctuations into the mass, and a scale R controlling the absorption of infrared fluctuations. 1/R can be thought of as the radius for perturbative corrections that build up the mass beyond its point-like definition in the pole scheme. Treating R as a variable gives a renormalization group equation. We argue that the sign of this anomalous dimension is universal: increasing R to add IR modes decreases m(R). The flow in R can be used to study IR renormalons without using bubble chains, and we use it to determine the coefficient of the LambdaQCD renormalon ambiguity of the pole mass with a convergent sum-rule. Using the flow improves the stability of conversions between mass schemes, allowing us to avoid large logs and the renormalon.
  • 11.10.Jj
  • 11.10.Hi
  • heavy quark
  • quark: mass
  • fluctuation: infrared
  • renormalization group
  • anomalous dimension: universality
  • mass: pole
  • renormalization: renormalon
  • sum rule