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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 10298479

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Official URL: http://dx.doi.org/10.1007/JHEP04(2018)003
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https://link.springer.com  Publisher 
Abstract
We provide a detailed description and analysis of a lowscale shortdistance mass scheme, called the MSR mass, that is useful for highprecision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier lowscale shortdistance mass schemes, the MSR scheme has a direct connection to the well known (MS) over bar mass commonly used for highenergy applications, and is determined by heavy quark onshell selfenergy 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 Revolution. Using Revolution 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 lowscale shortdistance masses are analyzed as well.
Item Type:  Article 

Additional Information:  ©The Authors. 
Uncontrolled Keywords:  Quark vacuum polarization; Qcd betafunction; Heavyquark; Quantum chromodynamics; Pole mass; Perturbative qcd; Anomalous dimensions; Order alpha(3)(S); Resonance physics; 3Loop relation 
Subjects:  Sciences > Physics > PhysicsMathematical 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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