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$\gamma_{5}$ in FDH

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arxiv 1710.09231 v1 pith:6JRAI2AO submitted 2017-10-25 hep-ph

classification hep-ph
keywords efficientfour-dimensionalgammalevelschemeadditionalternativeapproaches
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the regularization-scheme dependent treatment of $\gamma_{5}$ in the framework of dimensional regularization, mainly focusing on the four-dimensional helicity scheme (FDH). Evaluating distinctive examples, we find that for one-loop calculations, the recently proposed four-dimensional formulation (FDF) of the FDH scheme constitutes a viable and efficient alternative compared to more traditional approaches. In addition, we extend the considerations to the two-loop level and compute the pseudo-scalar form factors of quarks and gluons in FDH. We provide the necessary operator renormalization and discuss at a practical level how the complexity of intermediate calculational steps can be reduced in an efficient way.

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