Fractional analytic perturbation theory in Minkowski space and applicationto Higgs boson decay into a bb¯ pair

A. P. Bakulev, S. V. Mikhailov, and N. G. Stefanis
Phys. Rev. D 75, 056005 – Published 23 March 2007; Erratum Phys. Rev. D 77, 079901 (2008)

Abstract

We work out and discuss the Minkowski version of fractional analytic perturbation theory for QCD observables, recently developed and presented by us for the Euclidean region. The original analytic approach to QCD, initiated by Shirkov and Solovtsov, is summarized and relations to other proposals to achieve an analytic strong coupling are pointed out. The developed framework is applied to the Higgs boson decay into a bb¯ pair, using recent results for the massless correlator of two quark scalar currents in the MS¯ scheme. We present calculations for the decay width within the Minkowski version of fractional analytic perturbation theory including those non-power-series contributions that correspond to the O(αs3)-terms, also taking into account evolution effects of the running coupling and the b-quark-mass renormalization. Comparisons with previous results within standard QCD perturbation theory are performed and the differences are pointed out. The interplay between effects originating from the analyticity requirement and the analytic continuation from the spacelike to the timelike region and those due to the evolution of the heavy-quark mass is addressed, highlighting the differences from the conventional QCD perturbation theory.

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  • Received 18 January 2007

DOI:https://doi.org/10.1103/PhysRevD.75.056005

©2007 American Physical Society

Erratum

Authors & Affiliations

A. P. Bakulev* and S. V. Mikhailov

  • Bogoliubov Laboratory of Theoretical Physics, JINR,141980 Dubna, Russia

N. G. Stefanis

  • Institut für Theoretische Physik II, Ruhr-UniversitätBochum, D-44780 Bochum, Germany

  • *Electronic address: bakulev@theor.jinr.ru
  • Electronic address: mikhs@theor.jinr.ru
  • Electronic address: stefanis@tp2.ruhr-uni-bochum.de

See Also

QCD analytic perturbation theory: From integer powers to any power of the running coupling

A. P. Bakulev, S. V. Mikhailov, and N. G. Stefanis
Phys. Rev. D 72, 074014 (2005)

Analyticity properties of three-point functions in QCD beyond leading order

A. P. Bakulev, A. I. Karanikas, and N. G. Stefanis
Phys. Rev. D 72, 074015 (2005)

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Vol. 75, Iss. 5 — 1 March 2007

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