Tr(F3) supersymmetric form factors and maximal transcendentality. Part II. 0 &lt;$$ \mathcal{N} $$&lt; 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: 62%

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.

“…Supersymmetric form factors of the full Konishi multiplet were recently studied in [23,24], allowing for the efficient use of supersums in our calculations. This also allows for an immediate generalisation to N < 4, which will be discussed in [25].…”

Section: 5)mentioning

confidence: 99%

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

Brandhuber

Kostacinska

Penante

et al. 2018

Self Cite

In the large top-mass limit, Higgs plus multi-gluon amplitudes in QCD can be computed using an effective field theory. This approach turns the computation of such amplitudes into that of form factors of operators of increasing classical dimension. In this paper we focus on the first finite top-mass correction, arising from the operator Tr(F 3 ), up to two loops and three gluons. Setting up the calculation in the maximally supersymmetric theory requires identification of an appropriate supersymmetric completion of Tr(F 3 ), which we recognise as a descendant of the Konishi operator. We provide detailed computations for both this operator and the component operator Tr(F 3 ), preparing the ground for the calculation in N < 4, to be detailed in a companion paper. Our results for both operators are expressed in terms of a few universal functions of transcendental degree four and below, some of which have appeared in other contexts, hinting at universality of such quantities. An important feature of the result is a delicate cancellation of unphysical poles appearing in soft/collinear limits of the remainders which links terms of different transcendentality. Our calculation provides another example of the principle of maximal transcendentality for observables with non-trivial kinematic dependence. 5.2 Definition of the BDS form factor remainder .