Tr(F3) supersymmetric form factors and maximal transcendentality. Part I. $$ \mathcal{N} $$ = 4 super Yang-Mills

We obtain the two-loop QCD corrections to Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. This provides the two-loop S-matrix elements for Higgs plus one-jet production at LHC with top-mass correction. We apply efficient unitarity plus IBP methods which are described in detail. We also study the color decomposition of the fermion cuts and find a connection between fundamental and adjoint representations which can reduce non-planar to planar unitarity cuts. We obtain final results in simple analytic form which exhibits intriguing hidden structure. The principle of maximal transcendentality is found to be satisfied for all results. The lower transcendentality parts also contain universal building blocks and can be written in compact analytic forms, suggesting further hidden structures.

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confidence: 60%

Section: Discussionmentioning

confidence: 99%

Two-Loop QCD Corrections to the Higgs Plus Three-parton Amplitudes with Top Mass Correction

Jin

Yang

2020

“…One could start looking at protected longer operators, for which some loop results are already available [44,45]. Afterwards, one would naturally move to unprotected operators [46][47][48][49][50][51]. In that case the presence of ultraviolet divergences makes things more subtle and the argument of Section 3 would have to be revisited.…”

Section: Discussionmentioning

confidence: 99%

Dual conformal invariance for form factors

Bianchi

Brandhuber

Panerai

et al. 2019

Self Cite

Form factors of the stress-tensor multiplet operator in N = 4 supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case of amplitudes, they also enjoy dual conformal symmetry. We compute the dual conformal anomaly at one loop for an arbitrary number of particles and generic helicities, which matches the expression of the dual conformal anomaly of amplitudes, and perform explicit checks for MHV and NMHV one-loop form factors. In the NMHV case the realisation of dual conformal symmetry requires a delicate cancellation of offending terms arising from three-mass triangles, which we explicitly check in the case of the four-point NMHV form factor.

“…In this paper we extend the study of form factors of the operator Tr(F 3 ) initiated in [1,2] at two loops with an external state containing three gluons of positive helicity. The importance of these form factors arises from their connection to the effective theory for Higgs plus many gluon processes.…”

Section: Introductionmentioning

confidence: 99%

Tr(F3) supersymmetric form factors and maximal transcendentality. Part II. 0 <$$ \mathcal{N} $$< 4 super Yang-Mills

Brandhuber

Kostacinska

Penante

et al. 2018

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The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these are related to form factors of various operators of increasing classical dimension. In this paper we extend our analysis of the first finite top-mass correction, arising from the operator Tr(F 3 ), from N = 4 super Yang-Mills to theories with N < 4, for the case of three gluons and up to two loops. We confirm our earlier result that the maximally transcendental part of the associated Catani remainder is universal and equal to that of the form factor of a protected trilinear operator in the maximally supersymmetric theory. The terms with lower transcendentality deviate from the N = 4 answer by a surprisingly small set of terms involving for example ζ 2 , ζ 3 and simple powers of logarithms, for which we provide explicit expressions.