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Next-to-next-to-leading order prediction for the photon-to-pion transition form factor

Melić, Blaženka; Muller, D.; Passek-Kumerički, Kornelija (2003) Next-to-next-to-leading order prediction for the photon-to-pion transition form factor. Physical Review D, 68 (1). 014013-1-014013-36. ISSN 1550-7998

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Abstract

We evaluate the next-to-next-to-leading order corrections to the hard-scattering amplitude of the photon-to-pion transition form factor. Our approach is based on the predictive power of the conformal operator product expansion, which is valid for a vanishing beta function in the so-called conformal scheme. The Wilson coefficients appearing in the nonforward kinematics are then entirely determined from those of the polarized deep inelastic scattering known to next-to-next-to-leading order accuracy. We propose different schemes to include explicitly also the conformal symmetry breaking term proportional to the beta function and discuss numerical predictions calculated in different kinematical regions. It is demonstrated that the photon-to-pion transition form factor can provide a fundamental testing ground for our QCD understanding of exclusive reactions.

Item Type: Article
Uncontrolled Keywords: virtual compton-scattering; deep-inelastic-scattering; qcd sum-rules; perturbative quantum chromodynamics; exclusive processes; light-cone; distribution amplitude; anomalous dimensions; conformal-invariance; evolution kernels
Subjects: NATURAL SCIENCES > Physics
NATURAL SCIENCES > Physics > Astronomy and Astrophysics
Divisions: Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
Temeljne interakcije u fizici elementarnih čestica i kozmologijiBranko Guberina0098002MZOS
Depositing User: Blaženka Melić
Date Deposited: 29 May 2013 15:09
Last Modified: 12 Feb 2016 12:05
URI: http://fulir.irb.hr/id/eprint/548
DOI: 10.1103/PhysRevD.68.014013

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