Disentangling the Regge Cut and Regge Pole in Perturbative QCD

Falcioni, Giulio; Gardi, Einan; Maher, Niamh; Milloy, Calum; Vernazza, Leonardo

doi:10.1103/physrevlett.128.132001

Cited by 20 publications

(41 citation statements)

References 71 publications

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“…As outlined in the introduction, computing the next-to-next-to-leading-order corrections to the BFKL kernel requires to determine five elements: the three-loop correction to the Regge trajectory [36,68,69] (fig. 3 (a)); the two-loop correction to the single-gluon CEV 2 (fig.…”

Section: Building Blocks At Nnll Accuracymentioning

confidence: 99%

“…Infrared factorisation shows that [83,86], in addition to the usual diagonal terms of the colour octet exchange, also non-diagonal terms in the t-channel colour basis contribute to the real part of M (−,2,0) 4g [64,84]. More recently, following the computation of NNLL corrections M (−,n,n−2) 4g to the odd amplitude through four loops [26,66], the structure of the NNLL tower has been understood [68], uncovering a deep connection to the nonplanar origin of Regge cuts [87,88]. Specifically, it has become clear that planar multi-Reggeon contributions at NNLL only occur at two and three loops.…”

Section: Building Blocks At Nnll Accuracymentioning

confidence: 99%

“…(2.15), while the non-planar multi-Reggeon contributions are precisely those that build up the Regge cut. Accordingly, the three-loop gluon Regge trajectory has been determined [36,68,69], providing the fully-virtual input, shown in fig. 3 (a), that is necessary for extending the BFKL equation to NNLL accuracy, While the two-loop corrections to the single-gluon CEV (fig.…”

Section: Building Blocks At Nnll Accuracymentioning

confidence: 99%

“…[24,64,67]. Recently this problem has been resolved [26,68] and the three-loop Regge trajectory in QCD has been determined [36,68,69]. This gives some hope that the analytic structure of amplitudes in the Regge limit can be understood beyond NLL accuracy also in the multi-leg case, and indeed that the BFKL programme could eventually be extended to NNLL and beyond.…”

Section: Introductionmentioning

confidence: 99%

“…Carrying out the BFKL program at NNLL accuracy one needs, in addition to the threeloop Regge trajectory (fig. 3 (a)), which has recently been determined [36,68,69], various corrections to the central emission vertex. These are described schematically in fig.…”

Section: Introductionmentioning

confidence: 99%

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One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory

Byrne,

Del Duca,

Dixon

et al. 2022

Preprint

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A necessary ingredient for extending the BFKL equation to next-to-next-toleading logarithmic (NNLL) accuracy is the one-loop central emission vertex (CEV) for two gluons which are not strongly ordered in rapidity. Here we consider the one-loop six-gluon amplitude in N = 4 super Yang-Mills (SYM) theory in a central next-to-multi-Regge kinematic (NMRK) limit, we show that its dispersive part factorises in terms of the two-gluon CEV, and we use it to extract the one-loop two-gluon CEV for any helicity configuration within this theory. This is a component of the two-gluon CEV in QCD. Although computed in the NMRK limit, both the colour structure and the kinematic dependence of the two-gluon CEV capture much of the complexity of the six-gluon amplitudes in general kinematics. In fact, the transcendental functions of the latter can be conveniently written in terms of impact factors, trajectories, single-emission CEVs and a remainder, which is a function of the conformally invariant cross ratios which characterise the six-gluon amplitudes in planar N = 4 SYM. Finally, as expected, in the MRK limit the two-gluon CEV neatly factorises in terms of two single-emission CEVs.

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Section: Building Blocks At Nnll Accuracymentioning

confidence: 99%

Section: Building Blocks At Nnll Accuracymentioning

confidence: 99%

Section: Building Blocks At Nnll Accuracymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory

Byrne,

Del Duca,

Dixon

et al. 2022

Preprint

Self Cite

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One-loop Lipatov vertex in QCD with higher ϵ-accuracy

Fadin

Fucilla

Papa

2023

J. High Energ. Phys.

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The effective Reggeon-Reggeon-gluon vertex, known as Lipatov vertex, is the key ingredient that allows to develop the BFKL approach in QCD. Within the next-to-leading logarithmic approximation, it is sufficient to know its one-loop corrections, in dimensional regularization (D = 4 + 2ϵ), up to the constant term in the ϵ-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order ϵ2. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy.

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On the breakdown of eikonal approximation and survival of Reggeization in presence of dimension-5 Higgs-gluon coupling

Fucilla,

Nefedov,

Papa

2024

J. High Energ. Phys.

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We consider the one-loop effective vertex for the interaction of a gluon with a Reggeized gluon and a Higgs boson in the infinite-top-mass limit, which is described by a dimension-5 non-renormalizable operator. This vertex enters the calculation of differential cross sections for the forward inclusive production of a Higgs boson in high-energy proton-proton collisions, possibly in association with a backward jet or identified hadron, in a framework where next-to-leading logarithms of the energy are resummed to all orders. The effective vertex is extracted from the high-energy behavior of two-to-two amplitudes for the Higgs production in parton-parton collisions and relies on the validity of the Regge form for these amplitudes. We find that the usual eikonal approximation (Gribov prescription) for the Regge limit and the known region-expansion technique in this limit lead to an incomplete result for the amplitude. The discrepancy is traced back to the non-renormalizable nature of the involved operator. However, the Regge limit of the exact QCD amplitude agrees with the Regge-pole exchange form at one loop, nontrivially supporting the Reggeization hypothesis.

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Disentangling the Regge Cut and Regge Pole in Perturbative QCD

Cited by 20 publications

References 71 publications

One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory

One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory

One-loop Lipatov vertex in QCD with higher ϵ-accuracy

On the breakdown of eikonal approximation and survival of Reggeization in presence of dimension-5 Higgs-gluon coupling

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