On-shell methods for the two-loop dilatation operator and finite remainders

Loebbert, Florian; Nandan, Dhritiman; Sieg, Christoph; Wilhelm, Matthias; Yang, Gang

doi:10.1007/jhep10(2015)012

Cited by 65 publications

(128 citation statements)

References 72 publications

(161 reference statements)

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“…This was first observed for the Tr(F 2 ) → 3g form factors [43], which on one side corresponds to the QCD corretion to the Higgs to 3 parton amplitudes in the large top quark mass limit [27], and on the other side is equivalent to the form factor of stress-tensor multiplet in N = 4 SYM. The universal structure of the maximal transcendentality were also found in form factors of more general operators in N = 4 SYM [44][45][46][47][48]. The principle was also verified for other quantities like Wilson lines [49,50].…”

mentioning

confidence: 79%

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

Jin

Yang

2020

J. High Energ. Phys.

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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%

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

Jin

Yang

2020

J. High Energ. Phys.

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“…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

J. High Energ. Phys.

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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.

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“…Therefore, given the two-loop bare form factor results, together with one-loop results, one can determine the two-loop renormalization constants. We refer reader to [70,72] for more details of applying this strategy at two loops.…”

Section: Sl(2) Two-loop Casementioning

confidence: 99%

On-shell methods for form factors in $$\mathcal{N}=4$$ SYM and their applications

Yang

2020

Sci. China Phys. Mech. Astron.

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Form factors are quantities that involve both asymptotic on-shell states and gauge invariant operators. They provide a natural bridge between on-shell amplitudes and off-shell correlation functions of operators, thus allowing us to use modern on-shell amplitude techniques to probe into the off-shell side of quantum field theory. In particular, form factors have been successfully used in computing the cusp (soft) anomalous dimensions and anomalous dimensions of general local operators. This review is intended to provide a pedagogical introduction to some of these developments. We will first review some amplitudes background using four-point amplitudes as main examples. Then we generalize these techniques to form factors, including (1) tree-level form factors, (2) Sudakov form factor and infrared singularities, and (3) form factors of general operators and their anomalous dimensions. Although most examples we consider are in N = 4 super-Yang-Mill theory, the on-shell methods are universal and are expected to be applicable to general gauge theories. *

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On-shell methods for the two-loop dilatation operator and finite remainders

Cited by 65 publications

References 72 publications

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

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

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

On-shell methods for form factors in $$\mathcal{N}=4$$ SYM and their applications

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