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相关论文: Properties and implications of the four-loop non-s…

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We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative Quantum Chromodynamics. Our results constitute ready-to-use building blocks for N${}^4$LO cross sections for Drell-Yan processes and…

Using cutting techniques we obtain the two-loop N=4 super-Yang-Mills helicity amplitudes for four-gluon scattering in terms of scalar integral functions. The N=4 amplitudes are considerably simpler than corresponding QCD amplitudes and…

高能物理 - 唯象学 · 物理学 2009-10-30 Z. Bern , J. S. Rozowsky , B. Yan

We study the collinear fragmentation of highly energetic jets defined with a small jet radius. In particular, we investigate how the corresponding fragmentation functions differ from their hadronic counterpart defined in the common…

We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep…

高能物理 - 唯象学 · 物理学 2023-11-30 Fabrizio Caola , Amlan Chakraborty , Giulio Gambuti , Andreas von Manteuffel , Lorenzo Tancredi

The contribution of quarks with masses m >> Lambda_QCD is the only part of the structure functions in deep-inelastic scattering (DIS) which is not yet known at the next-to-next-to-leading order (NNLO) of perturbative QCD. We present…

高能物理 - 唯象学 · 物理学 2016-08-09 H. Kawamura , N. A. Lo Presti , S. Moch , A. Vogt

We carry out a global QCD analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order (NNLO) accuracy by performing a fit to the combined set of single-inclusive electron-positron annihilation and, for the first…

高能物理 - 唯象学 · 物理学 2022-07-13 Ignacio Borsa , Daniel de Florian , Rodolfo Sassot , Marco Stratmann , Werner Vogelsang

We present the complete formula for the cusp anomalous dimension at four loops in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given by \begin{equation} {\Gamma}^{\rm}_{\rm cusp}\Big|_{\alpha_s^4} = -\left(…

高能物理 - 理论 · 物理学 2019-11-25 Johannes M. Henn , Gregory P. Korchemsky , Bernhard Mistlberger

We present recent advancements in the computation of three-loop four-particle helicity amplitudes in full-color massless QCD. In this contribution, we focus on the $gg \to \gamma\gamma$ process. We show how to obtain compact analytic…

高能物理 - 唯象学 · 物理学 2024-10-04 Piotr Bargiela

We have calculated the fermionic contributions to the flavour non-singlet structure functions in deep-inelastic scattering (DIS) at third order of massless perturbative QCD. We discuss their implications for the threshold resummation at the…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Moch , J. A. M. Vermaseren , A. Vogt

Infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension matrix, which is also an essential ingredient for the resummation of large logarithms due to soft gluon emissions. We report a recent analytical…

高能物理 - 唯象学 · 物理学 2010-12-13 A. Ferroglia , M. Neubert , B. D. Pecjak , L. L. Yang

Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for…

高能物理 - 唯象学 · 物理学 2022-03-30 Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy , Leonardo Vernazza

We describe techniques that simplify the calculation of one-loop QCD amplitudes with many external legs, which are needed for next-to-leading-order (NLO) corrections to multi-jet processes. The constraints imposed by perturbative unitarity,…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon…

高能物理 - 唯象学 · 物理学 2019-09-04 Stefano Catani , Daniel de Florian , Massimiliano Grazzini

We derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT). The calculation is performed in Naive Dimensional Regularization with anticommuting…

高能物理 - 唯象学 · 物理学 2026-05-08 Jason Aebischer , Pol Morell , Marko Pesut , Javier Virto

We study the threshold corrections to the structure functions in deep-inelastic scattering (DIS) at the fifth logarithmic (N$^4$LL) order of the soft-gluon exponentiation in massless perturbative QCD. Using recent results for the splitting…

高能物理 - 唯象学 · 物理学 2019-08-09 Goutam Das , Sven-Olaf Moch , Andreas Vogt

We report on the status an ab initio computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production in $e^+e^-$…

高能物理 - 唯象学 · 物理学 2016-01-15 O. Gituliar

We report results for the lowest even-$N$ moments of the flavor-nonsinglet structure functions $F_2$ and $F_L$ in QCD at the fourth order in the perturbative expansion in the strong coupling constant $\alpha_s$. Our results are presented in…

高能物理 - 唯象学 · 物理学 2022-08-24 S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

We present the analytic next-to-next-to-leading QCD calculation of some higher moments of deep inelastic structure functions in the leading twist approximation. We give results for the moments $N$=1,3,5,7,9,11,13 of the structure function…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Retey , J. A. M. Vermaseren

I present results for soft anomalous dimensions through three loops for several processes involving the production of top quarks. In particular, I discuss single-top and top-pair production. I also present some numerical results for…

高能物理 - 唯象学 · 物理学 2022-08-08 Nikolaos Kidonakis

We use Asymptotic Pade Approximants (APAP's) to predict the four- and five-loop \beta-functions in QCD and N=1 supersymmetric QCD (SQCD), as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how…

高能物理 - 唯象学 · 物理学 2009-09-11 J. Ellis , I. Jack , D. R. T. Jones , Marek Karliner , Mark A. Samuel
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