Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation

Details Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation

2005-07-05

arxiv.org/abs/hep-ph/0507061v2

Phys.Lett. B622 (2005) 295-302

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, latex, references updated

Scientific paper

10.1016/j.physletb.2005.07.019

We compute the two-loop corrections to the massless quark form factor $\gamma^* \to q\bar q$ and gluon form factor $H\to gg$ to all orders in the dimensional regularisation parameter $\epsilon=(4-d)/2$. The two-loop contributions to the form factors are reduced to linear combinations of master integrals, which are computed in a closed form, expressed as $\Gamma$-functions and generalised hypergeometric functions of unit argument. Using the newly developed HypExp-package, these can be expanded to any desired order, yielding Laurent expansions in $\epsilon$. We provide expansions of the form factors to order $\epsilon^2$, as required for ultraviolet renormalisation and infrared factorisation of the three-loop form factors.

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