Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions

Abstract

We present closed analytic expressions of the electromagnetic vertex form factors for heavy quarks at the two-loop level in QCD for arbitrary momentum transfer. The calculation is carried out in dimensional regularization. The electric and magnetic form factors are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4.

79 pages, 3 figures. Version accepted by Nucl. Phys. B. All the results in Section 6 of the paper are available in an electronic form in the file formulas.inc

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