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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 present results for unpolarized and polarized semi-inclusive deep-inelastic scattering mediated by electroweak gauge bosons at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics. The results include all relevant…

High Energy Physics - Phenomenology · Physics 2026-04-01 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

We show that dual conformal symmetry, mainly studied in planar $\mathcal N = 4$ super-Yang-Mills theory, has interesting consequences for Feynman integrals in nonsupersymmetric theories such as QCD, including the nonplanar sector. A simple…

High Energy Physics - Theory · Physics 2017-12-06 Zvi Bern , Michael Enciso , Harald Ita , Mao Zeng

We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinematical invariants. We show that the anomalous dimension only…

High Energy Physics - Theory · Physics 2008-11-26 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich

I present new results on the quark distribution in an on-shell heavy quark in perturbative QCD and explore its all-order relations with heavy-quark fragmentation. I first compute the momentum distribution function to all orders in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Einan Gardi

We review some recent additions to the tool-chest of techniques for finding compact integrand representations of multiloop gauge-theory amplitudes - including non-planar contributions - applicable for N=4 super-Yang-Mills in four and higher…

High Energy Physics - Theory · Physics 2015-05-27 John Joseph M. Carrasco , Henrik Johansson

We study the subleading-color (nonplanar) contributions to the four-gluon scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the formalisms of Catani and of Sterman and Tejeda-Yeomans, we develop explicit expressions…

High Energy Physics - Theory · Physics 2008-11-26 Stephen G. Naculich , Horatiu Nastase , Howard J. Schnitzer

The calculation of exclusive cross sections at next-to-next-to-leading order (NNLO) in QCD requires an analytic understanding of the infrared singular structure with up to two unresolved partons. This has so far only been achieved for…

High Energy Physics - Phenomenology · Physics 2024-08-22 Thomas Gehrmann , Markus Löchner

We present the analytic expressions for the color-planar contributions to the heavy-light form factors at three loops in perturbative QCD. These form factors play an important role in the precision predictions of various observables in top…

High Energy Physics - Phenomenology · Physics 2023-08-24 Sudeepan Datta , Narayan Rana , V. Ravindran , Ratan Sarkar

The four-loop, two-point form factor contains the first non-planar correction to the lightlike cusp anomalous dimension. This anomalous dimension is a universal function which appears in many applications. Its planar part in N = 4 SYM is…

High Energy Physics - Theory · Physics 2016-01-19 Rutger Boels , Bernd A. Kniehl , Gang Yang

We present virtual contributions up to two loop level in perturbative Quantum Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson ($A$) to three gluons ($g$) and also to quark ($q$), anti-quark ($\overline q$) and a gluon. With…

High Energy Physics - Phenomenology · Physics 2024-11-20 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

We carry out next-to-leading order (NLO) parton model calculations for the standard hard ``QCD'' processes in the massless Schwinger model. The asymptotic expansion of the exact result for the deep inelastic cross section is used to infer…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jin Dai , James Hughes , Jun Liu

The study of QCD scattering amplitudes in the collinear regime provides crucial insight into the factorization properties of hadronic cross sections. In this paper, we present the first complete results for two-loop spacelike splitting…

High Energy Physics - Phenomenology · Physics 2026-04-01 Federico Buccioni , Hanyu Fang , Kai Yan

Using non-relativistic effective theories, new next-to-next-to-leading order (NNLO) QCD corrections to the total $t\bar t$ production cross section at the Linear Collider have been calculated recently. In this article the NNLO calculations…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Hoang , M. Beneke , K. Melnikov , T. Nagano , A. Ota , A. A. Penin , A. A. Pivovarov , A. Signer , V. A. Smirnov , Y. Sumino , T. Teubner , O. Yakovlev , A. Yelkhovsky

Within the framework of non-relativistic QCD (NRQCD) factorization, we compute the matching coefficients between full Quantum Chromodynamics (QCD) and NRQCD for the heavy flavor-changing vector, axial-vector, scalar and pseudo-scalar…

High Energy Physics - Phenomenology · Physics 2023-06-14 Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

Multi-jet rates at hadron colliders provide a unique possibility for probing Quantum Chromodynamics (QCD), the theory of strong interactions. By comparing theory predictions with collider data, one can directly test perturbative QCD,…

High Energy Physics - Phenomenology · Physics 2022-08-30 Michal Czakon , Alexander Mitov , Rene Poncelet

Top quark physics are an appropriate laboratory to study phenomena of the Standard Model and to test the limits of this theory. To obtain a higher precision for top quark predictions, the next-to-next-to-leading order (NNLO) in the…

High Energy Physics - Phenomenology · Physics 2013-10-23 Anne-Sophia Schade

We extend the existing leading (LO), next-to-leading (NLO), and next-to-next-to-leading order (NNLO) NNPDF4.0 sets of parton distribution functions (PDFs) to approximate next-to-next-to-next-to-leading order (aN$^3$LO). We construct an…

In this paper, we calculated the branching ratios and direct CP violation of the four $B\to K\pi$ decays with the inclusion of all currently known next-to-leading order (NLO) contributions by employing the perturbative QCD (pQCD)…

High Energy Physics - Phenomenology · Physics 2014-08-19 Wei Bai , Min Liu , Ying-Ying Fan , Wen-Fei Wang , Shan Cheng , Zhen-Jun Xiao

We present the three-loop remainder function, which describes the scattering of six gluons in the maximally-helicity-violating configuration in planar N=4 super-Yang-Mills theory, as a function of the three dual conformal cross ratios. The…

High Energy Physics - Theory · Physics 2015-06-16 Lance J. Dixon , James M. Drummond , Matt von Hippel , Jeffrey Pennington