Gauge Invariance and k_T-Factorization of Exclusive Processes

dc.creatorFeng, F.
dc.creatorMa, J. P.
dc.creatorWang, Q.
dc.date2008-07-02
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:59:58Z
dc.date.available2026-07-07T12:59:58Z
dc.descriptionIn the $k_T$-factorization for exclusive processes, the nontrivial $k_T$-dependence of perturbative coefficients, or hard parts, is obtained by taking off-shell partons. This brings up the question of whether the $k_T$-factorization is gauge invariant. We study the $k_T$-factorization for the case $πγ^* \to γ$ at one-loop in a general covariant gauge. Our results show that the hard part contains a light-cone singularity that is absent in the Feynman gauge, which indicates that the $k_T$-factorization is {\it not} gauge invariant. These divergent contributions come from the $k_T$-dependent wave function of $π$ and are not related to a special process. Because of this fact the $k_T$-factorization for any process is not gauge invariant and is violated. Our study also indicates that the $k_T$-factorization used widely for exclusive B-decays is not gauge invariant and is violated.
dc.descriptionAdd some explanation, conclusion unchanged. Version to appear in PLB
dc.identifierhttps://arxiv.org/abs/0807.0296
dc.identifierhttp://arxiv.org/abs/0807.0296
dc.identifierPhys.Lett.B674:176-181,2009
dc.identifierdoi:10.1016/j.physletb.2009.02.060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225737
dc.subjectHigh Energy Physics - Phenomenology
dc.titleGauge Invariance and k_T-Factorization of Exclusive Processes
dc.typetext

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