A high-precision result for a full-color three-loop three-point form factor in N $$ mathcal{N} $$ = 4 SYM

A high-precision result for a full-color three-loop three-point form factor in N $$ mathcal{N} $$ = 4 SYM

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Abstract We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in N $$ mathcal{N} $$ = 4 SYM.Both grey sns nails the leading-color and sub-leading-color form factors are expanded in terms of simple integrals.We compute the complete set of integrals at a special kinematic point with very high precision using AMFlow.

The high-precision leading-color result enables us to obtain the analytic form of liftmaster 3 button station a numerical constant in the three-loop BDS ansatz, which is previously known only numerically.The high-precision values of the non-leading-color finite remainder as well as all integrals are also presented, which can be valuable for future use.