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-point QCD two-loop amplitude

Dunbar, David C.; Perkins, Warren B.; Strong, Joseph M. W.

doi:10.1103/physrevd.101.076001

Cited by 17 publications

(27 citation statements)

References 50 publications

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“…For this reason a lot of theoretical effort has been invested in their evaluation and in the development of ever-more efficient methods for their calculation. A number of gauge theories are being studied, starting from string and supersymmetric theories [1][2][3][4][5][6][7][8][9][10][11][12][13], to gravity [14][15][16], to Yang-Mills [17,18], to QED [19] and QCD [20][21][22][23][24][25][26][27][28][29][30][31][32] and ultimately to the full Standard Model [33][34][35][36][37][38][39][40][41][42]. Research on generic methods for solving multi-loop integrals is also ongoing [43][44][45][46][47][48]…”

Section: Introductionmentioning

confidence: 99%

Two-loop leading-color helicity amplitudes for three-photon production at the LHC

Chawdhry

Czakon

Mitov

et al. 2021

J. High Energ. Phys.

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We calculate all planar contributions to the two-loop massless helicity amplitudes for the process $$ q\overline{q} $$ q q ¯ → γγγ. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions already used by us in the NNLO QCD calculation of the LHC process pp → γγγ [Chawdhry et al. (2019)]. Our results agree with a recent calculation of the same amplitude [Abreu et al. (2020)] which was performed using different techniques. We combine several modern computational techniques, notably, analytic solutions for the IBP identities, finite-field reconstruction techniques as well as the recent approach [Chen (2019)] for efficiently projecting helicity amplitudes. Our framework appears well-suited for the calculation of two-loop multileg amplitudes for which complete sets of master integrals exist.

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Section: Introductionmentioning

confidence: 99%

Two-loop leading-color helicity amplitudes for three-photon production at the LHC

Chawdhry

Czakon

Mitov

et al. 2021

J. High Energ. Phys.

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“…Complementing four-dimensional unitarity with recursion relations for the rational terms allows to compute the two-loop all-plus finite remainders in the purely gluonic case avoiding altogether the computation of the two-loop integrals [92,94]. Some results are available even for amplitudes involving more than five plus-helicity gluons [105][106][107][108][109][110].…”

Section: Jhep11(2021)083mentioning

confidence: 99%

Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders

Badger

Brønnum-Hansen

Chicherin

et al. 2021

J. High Energ. Phys.

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We present an analytic computation of the gluon-initiated contribution to diphoton plus jet production at hadron colliders up to two loops in QCD. We reconstruct the analytic form of the finite remainders from numerical evaluations over finite fields including all colour contributions. Compact expressions are found using the pentagon function basis. We provide a fast and stable implementation for the colour- and helicity-summed interference between the one-loop and two-loop finite remainders in C++ as part of the NJet library.

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“…A specific subleading-in-colour contribution to the two-loop all-plus amplitude has recently been computed to two loops, the first partial-amplitude result to be computed to arbitrary multiplicity [9]. The tree-level amplitude of the MHV configuration in N = 4 SYM first deduced by Parke and Taylor [10] has since been expressed in a more general form, which bundles together the states in the supermultiplet [11] into a "superamplitude"…”

Section: All-plus Qcdmentioning

confidence: 99%

Proving the dimension-shift conjecture

Britto¹,

Jehu²,

Orta³

2021

Preprint

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We prove the conjecture made by Bern, Dixon, Dunbar, and Kosower that describes a simple dimension shifting relationship between the one-loop structure of N = 4 MHV amplitudes and all-plus helicity amplitudes in pure Yang-Mills theory. The proof captures all orders in dimensional regularisation using unitarity cuts, by combining massive spinor-helicity with Coulomb-branch supersymmetry. The form of these amplitudes can be given in terms of pentagon and box integrals using a generalised D-dimensional unitarity technique which captures the full amplitude to all multiplicities.

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n -point QCD two-loop amplitude

Abstract: We present an explicit expression for a particular n-gluon two loop scattering partial amplitude. Specifically we present an analytic form for the single trace N c independent colour partial amplitude for the case where all external gluons have positive helicity.

Cited by 17 publications

References 50 publications

Two-loop leading-color helicity amplitudes for three-photon production at the LHC

Two-loop leading-color helicity amplitudes for three-photon production at the LHC

Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders

Proving the dimension-shift conjecture

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