The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized polylogarithms with interdependent arguments.
Three loop QCD corrections to the heavy-light form factors: fermionic contributions
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abstract
We present analytic results for three-loop fermionic corrections to the heavy-light form factors in perturbative quantum chromodynamics. Specifically, we present all light quark contributions and contributions from two heavy quark loops. We use the method of differential equations to compute all relevant three-loop master integrals. The results for all these contributions are expressed in terms of harmonic polylogarithms and generalized harmonic polylogarithms.
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Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor
The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized polylogarithms with interdependent arguments.