The MSR mass and the O(ΛQCD) \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) renormalon sum rule

Apr 5, 2017
57 pages
Published in:
  • JHEP 04 (2018) 003
  • Published: Apr 3, 2018
e-Print:
Report number:
  • UWTHPH-2017-6,
  • MIT-CTP-4896,
  • IFT-UAM-CSIC-17-034,
  • UWThPh-2017-6,
  • MIT-CTP 4896,
  • IFT-UAM/CSIC-17-034

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Abstract: (Springer)
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 \overline{\mathrm{MS}} 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 \overline{\mathrm{MS}} mass concept to renormalization scales ≪ mQ_{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(ΛQCD) \mathcal{O}\left({\varLambda}_{\mathrm{QCD}}\right) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(ΛQCD) \mathcal{O}\left({\varLambda}_{\mathrm{QCD}}\right) 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.
Note:
  • 42 pages + appendices, 6 figures, v2: Refs and Appendix B added, Fig.3 changed from nl=4 to nl=5, v3: journal version
  • Heavy Quark Physics
  • Perturbative QCD
  • Quark Masses and SM Parameters
  • Renormalization Regularization and Renormalons
  • top: mass
  • mass: pole
  • mass: renormalization
  • top: propagator
  • propagator: on-shell
  • propagator: asymptotic behavior