Your browser has javascript turned off or blocked. This will lead to some parts of our website to not work properly or at all. Turn on javascript for best performance.

The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Johan Rathsman. Photo.

Johan Rathsman

Senior lecturer

Johan Rathsman. Photo.

Analytic extension of the modified minimal subtraction renormalization scheme

Author

  • Stanley J. Brodsky
  • Mandeep S. Gill
  • Michael Melles
  • Johan Rathsman

Summary, in English

The conventional definition of the running coupling (Formula presented) in quantum chromodynamics is based on a solution to the renormalization group equations which treats quarks as either completely massless at a renormalization scale μ above their thresholds or infinitely massive at a scale below them. The coupling is thus nonanalytic at these thresholds. In this paper we present an analytic extension of (Formula presented) which incorporates the finite-mass quark threshold effects into the running of the coupling. This is achieved by using a commensurate scale relation to connect (Formula presented) to the physical (Formula presented) scheme at specific scales, thus naturally including finite quark masses. The analytic extension inherits the exact analyticity of the (Formula presented) scheme and matches the conventional (Formula presented) scheme far above and below mass thresholds. Furthermore just as in the (Formula presented) scheme, there is no renormalization scale ambiguity, since the position of the physical mass thresholds is unambiguous.

Publishing year

1998-11-04

Language

English

Publication/Series

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volume

58

Issue

11

Document type

Journal article

Publisher

American Physical Society

Topic

  • Subatomic Physics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1550-7998