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We consider extensions of the soft-gluon effective coupling that generalize the Catani--Marchesini--Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the…

High Energy Physics - Phenomenology · Physics 2023-09-22 Stefano Catani , Daniel de Florian , Simone Devoto , Massimiliano Grazzini , Javier Mazzitelli

An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

High Energy Physics - Theory · Physics 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

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

I present results for soft anomalous dimensions in single top-quark production processes through three loops. I first discuss the cusp anomalous dimension with one massive and one massless line at three loops. I then calculate the…

High Energy Physics - Phenomenology · Physics 2019-05-01 Nikolaos Kidonakis

I discuss and review soft anomalous dimensions in QCD that describe soft-gluon threshold resummation for a wide range of hard-scattering processes. The factorization properties of the cross section in moment space and renormalization-group…

High Energy Physics - Phenomenology · Physics 2020-10-05 Nikolaos Kidonakis

The cusp anomalous dimension is a ubiquitous quantity in four-dimensional gauge theories, ranging from QCD to maximally supersymmetric N=4 Yang-Mills theory, and it is one of the best investigated observables in the AdS/CFT correspondence.…

High Energy Physics - Theory · Physics 2009-06-19 B. Basso , G. P. Korchemsky

The angle-dependent cusp anomalous dimension governs divergences coming from soft gluon exchanges between heavy particles, such as top quarks. We focus on the matter-dependent contributions and compute the first truly non-planar terms. They…

High Energy Physics - Theory · Physics 2021-01-20 Robin Brüser , Christoph Dlapa , Johannes M. Henn , Kai Yan

I present results for the two-loop soft anomalous dimensions for associated production of a single top quark with a W boson or a charged Higgs boson. The calculation uses expressions for the massive cusp anomalous dimension, which are…

High Energy Physics - Phenomenology · Physics 2011-01-06 Nikolaos Kidonakis

We obtain the quark and gluon rapidity anomalous dimension to fourth order in QCD. We calculate the N$^3$LO rapidity anomalous dimensions to higher order in the dimensional regulator and make use of the soft/rapidity anomalous dimension…

High Energy Physics - Phenomenology · Physics 2022-05-12 Claude Duhr , Bernhard Mistlberger , Gherardo Vita

We present the full analytic result for the three-loop angle-dependent cusp anomalous dimension in QCD. With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order. Moreover,…

High Energy Physics - Phenomenology · Physics 2015-03-05 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard

We analyze the cusp anomalous dimension in the (leading) ladder limit of $\mathcal N=4$ SYM and present new results for its higher-order perturbative expansion. We study two different limits with respect to the cusp angle $\phi$. The first…

High Energy Physics - Theory · Physics 2016-06-29 Matteo Beccaria , Alberto Fachechi , Guido Macorini

We complete the coordinate space calculation of the three-parton correlation in the two-loop massive soft anomalous dimension matrix. The full answer agrees with the result found previously by a different approach. The coordinate space…

High Energy Physics - Phenomenology · Physics 2010-10-22 Alexander Mitov , George Sterman , Ilmo Sung

We derive an analytic formula at three loops for the cusp anomalous dimension Gamma_cusp(phi) in N=4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the…

High Energy Physics - Theory · Physics 2015-06-04 Diego Correa , Johannes Henn , Juan Maldacena , Amit Sever

We introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion…

High Energy Physics - Theory · Physics 2013-12-12 Daniele Marmiroli

We revisit the strong coupling limit of the cusp anomalous dimension in planar N=4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension…

High Energy Physics - Theory · Physics 2015-10-28 Daniele Dorigoni , Yasuyuki Hatsuda

We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous…

High Energy Physics - Phenomenology · Physics 2020-05-12 Andreas von Manteuffel , Erik Panzer , Robert M. Schabinger

We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N=4 SYM. We show that all the momentum integrals appearing in the perturbative on-shell calculations up to five loops are dual to…

High Energy Physics - Theory · Physics 2009-11-13 J. M. Drummond , G. P. Korchemsky , E. Sokatchev

The anomalous dimensions of operators in the purely gluonic SU(2,1|2) sector of any planar conformal N=2 theory can be read off from the N=4 SYM results by replacing the N=4 coupling constant by an interpolating function of the N=2 coupling…

High Energy Physics - Theory · Physics 2016-01-06 Vladimir Mitev , Elli Pomoni

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by…

High Energy Physics - Phenomenology · Physics 2022-09-14 Ian Moult , Hua Xing Zhu , Yu Jiao Zhu

We present a calculation of soft-gluon corrections in FCNC top-quark production via anomalous $t$-$q$-$g$ couplings. The soft anomalous dimension matrix is explicitly calculated at one-loop accuracy. This calculation allows threshold…

High Energy Physics - Phenomenology · Physics 2014-10-01 Nikolaos Kidonakis , Elwin Martin
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