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We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry…

We analyse the real part of one-loop five-parton amplitudes in the next-to-multi-Regge kinematic (NMRK) limit, to leading power, and to finite order in the dimensional regularisation parameter. To leading logarithmic (LL) accuracy, it is…

高能物理 - 唯象学 · 物理学 2024-05-15 Emmet P. Byrne

We consider the planar MHV amplitude in N=4 supersymmetric Yang-Mills theory for 2 -> 4 particle scattering at two and three loops in the Regge kinematics. We perform an analytic continuation of two-loop result for the remainder function…

高能物理 - 理论 · 物理学 2011-06-13 L. N. Lipatov , A. Prygarin

We consider the high energy limit of the colour ordered one-loop five-gluon amplitude in the planar maximally supersymmetric N=4 Yang-Mills theory in the multi-Regge kinematics where all of the gluons are strongly ordered in rapidity. We…

高能物理 - 理论 · 物理学 2009-12-15 Vittorio Del Duca , Claude Duhr , E. W. Nigel Glover

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the…

高能物理 - 理论 · 物理学 2009-11-19 V. Del Duca , E. W. N. Glover

We revisit the calculation of the six-gluon remainder function in planar $\mathcal{N} = 4$ super Yang-Mills theory from the strong coupling TBA in the multi-Regge limit and identify an infinite set of kinematically subleading terms. These…

高能物理 - 理论 · 物理学 2017-02-01 Martin Sprenger

Using the duality between color and kinematics, we construct two-loop four-point scattering amplitudes in $\mathcal{N}=2$ super-Yang-Mills (SYM) theory coupled to $N_f$ fundamental hypermultiplets. Our results are valid in $D\le 6$…

高能物理 - 理论 · 物理学 2017-09-20 Henrik Johansson , Gregor Kälin , Gustav Mogull

We compute the three-loop leading-colour corrections to the Yang-Mills Regge trajectory and gluon impact factor. Conjecturing that, in analogy with $\mathcal{N}=4$ super Yang-Mills (SYM), in a suitable scheme $N_c$-subleading terms are…

高能物理 - 唯象学 · 物理学 2022-02-16 Vittorio Del Duca , Robin Marzucca , Bram Verbeek

We present the four-loop remainder function for six-gluon scattering with maximal helicity violation in planar N=4 super-Yang-Mills theory, as an analytic function of three dual-conformal cross ratios. The function is constructed entirely…

高能物理 - 理论 · 物理学 2015-06-18 Lance J. Dixon , James M. Drummond , Claude Duhr , Jeffrey Pennington

We consider one-loop five-point QCD amplitudes in next-to-multi-Regge kinematics, and evaluate the one-loop impact factor for the emission of two gluons. This is the last ingredient which is necessary to evaluate the gluon-jet impact factor…

高能物理 - 唯象学 · 物理学 2021-06-30 Marc Canay , Vittorio Del Duca

We conjecture a simple relationship between the one-loop maximally helicity violating gluon amplitudes of ordinary QCD (all helicities identical) and those of N=4 supersymmetric Yang-Mills (all but two helicities identical). Because the…

高能物理 - 理论 · 物理学 2009-07-09 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We argue that the natural functions for describing the multi-Regge limit of six-gluon scattering in planar N=4 super Yang-Mills theory are the single-valued harmonic polylogarithmic functions introduced by Brown. These functions depend on a…

高能物理 - 理论 · 物理学 2015-06-05 Lance J. Dixon , Claude Duhr , Jeffrey Pennington

In previous work, the two-loop five-point amplitudes in $\mathcal{N}=4$ super Yang-Mills theory and $\mathcal{N}=8$ supergravity were computed at symbol level. In this paper, we compute the full functional form. The amplitudes are assembled…

高能物理 - 理论 · 物理学 2020-12-02 Simon Caron-Huot , Dmitry Chicherin , Johannes Henn , Yang Zhang , Simone Zoia

We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended…

高能物理 - 理论 · 物理学 2019-09-04 Simon Caron-Huot , Lance J. Dixon , Falko Dulat , Matt von Hippel , Andrew J. McLeod , Georgios Papathanasiou

We compute all $2\to5$ gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial ("long") Regge cut. We provide the amplitudes through four loops and to all…

高能物理 - 理论 · 物理学 2022-01-19 Lance J. Dixon , Yu-Ting Liu , Julian Miczajka

We use the hexagon function bootstrap to compute the ratio function which characterizes the next-to-maximally-helicity-violating (NMHV) six-point amplitude in planar $\mathcal{N} = 4$ super-Yang-Mills theory at four loops. A powerful…

高能物理 - 理论 · 物理学 2015-09-29 Lance J. Dixon , Matt von Hippel , Andrew J. McLeod

We investigate $2 \to 3$ QCD scattering amplitudes in multi-Regge kinematics, i.e. where the final partons are strongly ordered in rapidity. In this regime amplitudes exhibit intriguing factorisation properties which can be understood in…

高能物理 - 唯象学 · 物理学 2025-04-11 Federico Buccioni , Fabrizio Caola , Federica Devoto , Giulio Gambuti

We compute the next-to-maximally-helicity-violating one-loop n-gluon amplitudes in N=1 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and constitute the…

高能物理 - 理论 · 物理学 2013-12-19 Alexander Ochirov

We present results for the six-gluon scattering amplitude at one-loop. Since our method is semi-numerical, it yields the result for arbitrary momenta and helicities of the external gluons. We evaluate the colour-ordered sub-amplitudes with…

高能物理 - 唯象学 · 物理学 2009-11-11 R. K. Ellis , W. T. Giele , Giulia Zanderighi

One-loop amplitudes of gluons in supersymmetric Yang-Mills are four-dimensional cut-constructible. This means that they can be determined from their unitarity cuts. We present a new systematic procedure to explicitly carry out any finite…

高能物理 - 唯象学 · 物理学 2009-07-09 Ruth Britto , Evgeny Buchbinder , Freddy Cachazo , Bo Feng
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