6533b82cfe1ef96bd128ead7
RESEARCH PRODUCT
Analytic results for planar three-loop integrals for massive form factors
Vladimir A. SmirnovVladimir A. SmirnovJohannes M. HennJohannes M. HennAlexander V. Smirnovsubject
PhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsRoot of unityDifferential equationFeynman integralPhysicsZero (complex analysis)Form factor (quantum field theory)FOS: Physical sciences01 natural sciencesLoop (topology)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PlanarPerturbative QCD0103 physical sciencesddc:530Scattering Amplitudes010306 general physicsMathematical physicsdescription
We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results for ninety master integrals at general $q^2$ are expressed in terms of multiple polylogarithms, and results for fiftyone master integrals at the threshold $q^2=4m^2$ are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 | Journal of High Energy Physics |