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Hoang, André H. and Ambar, Jain and Lepenik, Christopher L and Mateu, V. and Preisse, Moritz and Scimemi, Ignazio and Stewart, Iain W.
(2018)
*The MSR mass and the O(Ʌqcd) renormalon sum rule.*
Journal of high energy physics
(4).
ISSN 1029-8479

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Official URL: http://dx.doi.org/10.1007/JHEP04(2018)003

## Abstract

We provide a detailed description and analysis of a low-scale short-distance mass scheme, called the MSR mass, that is useful for high-precision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier low-scale short-distance mass schemes, the MSR scheme has a direct connection to the well known (MS) over bar mass commonly used for high-energy applications, and is determined by heavy quark on-shell self-energy Feynman diagrams. Indeed, the MSR mass scheme can be viewed as the simplest extension of the (MS) over bar mass concept to renormalization scales << m(Q). The MSR mass depends on a scale R that can be chosen freely, and its renormalization group evolution has a linear dependence on R, which is known as R-evolution. Using R-evolution for the MSR mass we provide details of the derivation of an analytic expression for the normalization of the O(A(QCD)) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(A(QCD)) renormalon sum rule, and can be applied to any perturbative series. The relations of the MSR mass scheme to other low-scale short-distance masses are analyzed as well.

Item Type: | Article |
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Additional Information: | ©The Authors. |

Uncontrolled Keywords: | Quark vacuum polarization; Qcd beta-function; Heavy-quark; Quantum chromodynamics; Pole mass; Perturbative qcd; Anomalous dimensions; Order alpha(3)(S); Resonance physics; 3-Loop relation |

Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |

ID Code: | 47469 |

Deposited On: | 18 May 2018 14:54 |

Last Modified: | 10 Dec 2018 15:09 |

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