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arxiv: 1807.05943 · v2 · pith:PROMQ5NZnew · submitted 2018-07-16 · ✦ hep-ph

Massive three loop form factors in the planar limit

classification ✦ hep-ph
keywords factorsformharmonicloopplanarpolylogarithmsquarkthree
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We present the color planar and complete light quark QCD contributions to the three loop heavy quark form factors in the case of vector, axial-vector, scalar and pseudo-scalar currents. We evaluate the master integrals applying a new method based on differential equations for general bases, which is applicable for any first order factorizing systems. The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.

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