Heavy quark form factors at two loops

Abstract

We compute the two-loop QCD corrections to the heavy quark form factors in the case of the vector, axial-vector, scalar and pseudoscalar currents up to second order in the dimensional parameter ε¼ð4−DÞ=2. These terms are required in the renormalization of the higher-order corrections to these form factors.

Three-loop massive form factors: complete light-fermion corrections for the vector current

“…[2], see also ref. [12] where agreement with our result is found. The order ǫ 2 terms of F 1 and F 2 have recently been published in ref.…”

“…The order ǫ 2 terms of F 1 and F 2 have recently been published in ref. [12]; our results agree with theirs. Note that the large-N c limit of our result for F 1 has already been published in ref.…”

“…As far as massless form factors are concerned the stateof-the-art is four loops where different groups have contributed to partial results [3][4][5][6][7][8]. Massive quark form factors are known to two loops [9] including O(ǫ) [2,10] and O(ǫ 2 ) terms [11,12]. Three-loop corrections in the large-N c limit for the vector current form factor have been computed in ref.…”

Three-loop massive form factors: complete light-fermion and large-Nc corrections for vector, axial-vector, scalar and pseudo-scalar currents

“…[4] (see also ref. [5] for the fermionic contributions) and have been cross checked by several groups [6][7][8][9][10]. In some cases higher order terms in ǫ have been added.…”

“…[12][13][14] and recently been confirmed in ref. [9] where O(ǫ) and O(ǫ 2 ) terms have been added. Three-loop corrections are only known for well-defined subsets of the vector form factor: the large-N c limit has been computed in ref.…”