Comment on "Gauge Invariance and $k_T$-Factorization of Exclusive Processes"

Details Comment on "Gauge Invariance and $k_T$-Factorization of Exclusive Processes" Comment on "Gauge Invariance and $k_T$-Factorization of Exclusive Processes"

2008-08-11

arxiv.org/abs/0808.1526v2

Phys.Lett.B674:182,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 5 figures, a co-author was added, new method was adopted, the conclusion remains the same

Scientific paper

10.1016/j.physletb.2009.03.015

We point out mistakes made in the one-loop calculation of some diagrams for the process $\pi \gamma^* \to \gamma$ in the preprint arXiv:0807.0296, and present correct results. Especially, we have difficulty to understand their argument that a highly off-shell gluon generates a light-cone (infrared) singularity. It is shown by means of the Ward identity that the gauge-dependent light-cone singularity found in arXiv:0807.0296 does not exist. It is then shown that a hard kernel derived in the $k_T$ factorization of exclusive processes is gauge invariant and free of the light-cone singularity.

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