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 title Project leader Project code Project type Temeljne interakcije u fizici elementarnih čestica i kozmologiji Branko Guberina 0098002 MZOS
Depositing User:	Blaženka Melić
Date Deposited:	29 May 2013 15:09
URI:	http://fulir.irb.hr/id/eprint/548
DOI:	10.1103/PhysRevD.68.014013

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