Transverse-momentum dependent factorization forγ*π0→γ

Abstract

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process gamma(*)pi(0)->gamma can be factorized when the virtuality of the initial photon is large. In contrast to the collinear factorization in which the amplitude is factorized as a convolution of the standard light-cone wave function and a hard part, the TMD factorization yields a convolution of a TMD light-cone wave function, a soft factor and a hard part. We explicitly show that the TMD factorization holds at one-loop level. It is expected that the factorization holds beyond one-loop level because the cancellation of soft divergences is on a diagram-by-diagram basis. We also show that the TMD factorization helps to resum large logarithms of type ln(2)x.