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Related papers: Exact off-shell Sudakov form factor in N=4 SYM

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A first quantised approach to loop amplitudes based on the pure spinor particle is applied to the systematics of four-particle amplitudes in maximally supersymmetric field theories. Counting of fermionic zero modes allows the identification…

High Energy Physics - Theory · Physics 2011-03-28 Jonas Bjornsson , Michael B. Green

In nonabelian gauge theory the three-gluon vertex function contains important structural information, in particular on infrared divergences, and is also an essential ingredient in the Schwinger-Dyson equations. Much effort has gone into…

High Energy Physics - Phenomenology · Physics 2015-06-11 Naser Ahmadiniaz , Christian Schubert

Recently a perturbative theory has been constructed, starting from the Feynman rules of the nonlinear sigma model at the tree level in the presence of an external vector source coupled to the flat connection and of a scalar source coupled…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

The hard-scattering contributions to heavy-to-light form factors at large recoil are studied systematically in soft-collinear effective theory (SCET). Large logarithms arising from multiple energy scales are resummed by matching QCD onto…

High Energy Physics - Phenomenology · Physics 2009-11-10 Richard J. Hill , Thomas Becher , Seung J. Lee , Matthias Neubert

The standard NRQCD power counting breaks down and the OPE gives rise to color-octet shape functions at the upper endpoint of the photon energy spectrum in radiative Upsilon decay. Also in this kinematic regime, large Sudakov logarithms…

High Energy Physics - Phenomenology · Physics 2009-11-07 Adam K. Leibovich

We discuss recent results for the asymptotic behavior of fermion scattering amplitudes in the Sudakov limit. The results include next-to-next-to-leading logarithmic electroweak corrections and are used for the analysis of…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Moch

We show via use of the RADIO technique that an off-shell (4,0) version of the hypermultiplet, in the form first proposed by Fayet, exists and contains 28 - 28 component fields. The off-shell structure uncovered is found to include a chiral…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Lubna Rana

Off-shell $(4,0)$ supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperk\"ahler with torsion. The off-shell supersymmetry implies that…

High Energy Physics - Theory · Physics 2017-09-13 Chris Hull , Ulf Lindström

We demonstrate by explicit multi-loop calculation that \gamma-deformed planar N=4 SYM, supplemented with a set of double-trace counter-terms, has two nontrivial fixed points in the recently proposed double scaling limit, combining vanishing…

High Energy Physics - Theory · Physics 2018-03-21 David Grabner , Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

We construct a regularization for light-like polygonal Wilson loops in ${\cal N}=4$ SYM, which matches them to the off-shell MHV gluon scattering amplitudes. Explicit calculations are performed for the 1-loop four gluon case. The off light…

High Energy Physics - Theory · Physics 2008-11-26 Harald Dorn , Charlotte Grosse Wiesmann

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , V. K. Mitrjushkin , T. Neuhaus

In this paper we study the combinatorics associated with the positive orthogonal Grassmannian OG_k and its connection to ABJM scattering amplitudes. We present a canonical embedding of OG_k into the Grassmannian Gr(k,2k), from which we…

High Energy Physics - Theory · Physics 2014-02-25 Yu-tin Huang , Congkao Wen , Dan Xie

We consider the Sudakov form factor in effective theories and we show that one can derive correctly the double logarithms of the original, high-energy, theory. We show that in effective theories it is possible to separate explicitely soft…

High Energy Physics - Phenomenology · Physics 2009-10-30 U. Aglietti , G. Corbo` , L. Trentadue

We consider the region of small transverse momenta in the production of high-mass systems in hadronic collisions. By using the current knowledge on the infrared behaviour of tree-level and one-loop QCD amplitudes at O(alpha_s^2), we…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. de Florian , M. Grazzini

We investigate the structure of the five-point W boson scattering amplitude in N=4 SYM on the Coulomb branch in a small mass limit. We show that up to two loops the IR divergences exponentiate and are controlled by the $\Gamma_{oct}$…

High Energy Physics - Theory · Physics 2022-09-07 L. V. Bork , N. B. Muzhichkov , E. S. Sozinov

The two-loop formfactor both for a U(1)xU(1) and a SU(2)xU(1) gauge theory with massive and massless gauge bosons respectively is evaluated at arbitrary momentum transfer q^2. The asymptotic behaviour for q^2->\infinity is compared to a…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Kotikov , J. H. Kuhn , O. Veretin

We derive a compact expression for the three-point MHV form factors of half-BPS operators in N=4 super Yang-Mills at two loops. The main tools of our calculation are generalised unitarity applied at the form factor level, and the compact…

High Energy Physics - Theory · Physics 2015-06-03 Andreas Brandhuber , Gabriele Travaglini , Gang Yang

We study the first sub-leading correction $O((\ln s)^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in ${\cal N}=4$ SYM theory. Since this approximation is still governed by a linear integral…

High Energy Physics - Theory · Physics 2010-10-27 Davide Fioravanti , Paolo Grinza , Marco Rossi

We compute the two-loop four-point MHV form factor of the stress-tensor supermultiplet in planar ${\cal N}=4$ super Yang-Mills (SYM). This form factor is analogous to the Higgs plus four-gluon amplitudes in the heavy-top limit of QCD when…

High Energy Physics - Theory · Physics 2025-03-11 Yuanhong Guo , Lei Wang , Gang Yang , YiXiong Yin

The off-diagonal parton-scattering channels $g+\gamma^*$ and $q+\phi^*$ in deep-inelastic scattering are power-suppressed near threshold $x\to 1$. We address the next-to-leading power (NLP) resummation of large double logarithms of $1-x$ to…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Mathias Garny , Sebastian Jaskiewicz , Robert Szafron , Leonardo Vernazza , Jian Wang