6533b823fe1ef96bd127e21d
RESEARCH PRODUCT
Analytic result for the nonplanar hexa-box integrals.
Johannes M. HennThomas GehrmannDmitry ChicherinVladimir MitevN. A. Lo PrestiPascal Wassersubject
High Energy Physics - TheoryNuclear and High Energy Physics530 PhysicsDifferential equationFOS: Physical sciencesBoundary (topology)10192 Physics InstituteSpace (mathematics)01 natural sciencesHigh Energy Physics - Phenomenology (hep-ph)Perturbative QCD0103 physical scienceslcsh:Nuclear and particle physics. Atomic energy. RadioactivityCanonical form3106 Nuclear and High Energy PhysicsScattering Amplitudes010306 general physicsMathematical physicsPhysicsBasis (linear algebra)010308 nuclear & particles physicsScattering amplitudeHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)lcsh:QC770-798Gravitational singularityConstant (mathematics)description
In this paper, we analytically compute all master integrals for one of the two non-planar integral families for five-particle massless scattering at two loops. We first derive an integral basis of 73 integrals with constant leading singularities. We then construct the system of differential equations satisfied by them, and find that it is in canonical form. The solution space is in agreement with a recent conjecture for the non-planar pentagon alphabet. We fix the boundary constants of the differential equations by exploiting constraints from the absence of unphysical singularities. The solution of the differential equations in the Euclidean region is expressed in terms of iterated integrals. We cross-check the latter against previously known results in the literature, as well as with independent Mellin-Barnes calculations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-03-01 |