Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-03-31
Phys.Rev.Lett.101:151602,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 2 figures, Added explicit result for the top MSbar mass with uncertainties
Scientific paper
10.1103/PhysRevLett.101.151602
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 improves the stability of conversions between mass schemes, allowing us to avoid large logs and the renormalon. 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.
Hoang Andre H.
Jain Ambar
Scimemi Ignazio
Stewart Iain W.
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