The SU(2|3) dynamic two-loop form factors

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: 79%

“…Since this is computed using Catani IR subtraction scheme, it is different (by purely the choice of IR subtraction scheme) from the expression in[52] as well as appeared in other form factors in N = 4 SYM[44][45][46][47], which are based on the BDS subtraction scheme[88].…”

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confidence: 99%

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

Jin

Yang

2020

“…Second, our form factors (or more precisely their remainders) contain terms of transcendentality ranging from four to zero. In an earlier paper [36] we considered the simpler scalar descendant of the Konishi operator…”

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

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 .

“…Besides anomalous dimensions, it has also been successfully applied to form factors, matrix elements of gauge-invariant operators with two or three external partons [47][48][49][50][51], and to certain configurations of semi-infinite Wilson lines [34,35]. However, it does not hold for scattering amplitudes with four or five external gluons, even at one loop [52], in the sense that there are maximally transcendental parts of the QCD one-loop amplitudes which have different rational prefactors from the corresponding N = 4 SYM amplitudes.…”

Section: Jhep01(2018)075mentioning

confidence: 99%

The principle of maximal transcendentality and the four-loop collinear anomalous dimension

Dixon

2018

Abstract:We use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar N = 4 super-Yang-Mills theory from recent QCD results, obtaininĝ G (4) 0 = −300ζ 7 − 256ζ 2 ζ 5 − 384ζ 3 ζ 4 . This value agrees with a previous numerical result to within 0.2%. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.