Infrared Renormalization Group Flow for Heavy Quark Masses
Mar, 2008
5 pages
Published in:
- Phys.Rev.Lett. 101 (2008) 151602
e-Print:
- 0803.4214 [hep-ph]
Report number:
- MIT-CTP-3940,
- MPP-2008-24
View in:
Citations per year
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
References(19)
Figures(2)