Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions

Details Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions

2009-05-25

arxiv.org/abs/0905.4004v6

Nucl.Phys.B821:291-326,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 8 figures, 1 table. v2 new entry in Table I with reference added and replaced Fig. 6. v3 extended discussion of BaBa

Scientific paper

10.1016/j.nuclphysb.2009.06.027

The transition pion-photon form factor is studied within the framework of Light-Cone QCD Sum Rules. The spectral density for the next-to-leading order corrections is calculated for any Gegenbauer harmonic. At the level of the next-to-next-to-leading (NNLO) radiative corrections, only that part of the hard-scattering amplitude is included that is proportional to the $\beta$-function, taking into account the leading zeroth-order harmonic. The relative size of the NNLO contribution in the prediction for the form factor $F^{\gamma^{*}\gamma\pi}(Q^2)$ has been analyzed, making use of the BLM scale-setting procedure. In addition, predictions for the form factor $F^{\gamma^{*}\rho\pi}$ are obtained that turn out to be sensitive to the endpoint behavior of the pion distribution amplitude, thus providing in connection with experimental data an additional adjudicator for the pion distribution amplitude. In a note added, we comment on the preliminary high-$Q^2$ BaBar data on $F^{\gamma^{*}\gamma\pi}$ arguing that the significant growth of the form factor between 10 and 40 GeV$^2$ cannot be explained in terms of higher-order perturbative corrections at the NNLO.

Affiliated with

Also associated with

No associations

Rating

Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-294566