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

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These proceedings describe a computation of the large-$n_f$ terms contributing to the QCD splitting functions at the fourth order in the strong coupling constant $\alpha_s$. Using the FORCER package for the reduction of four-loop two-point…

高能物理 - 唯象学 · 物理学 2017-09-04 Joshua Davies

We compute analytically the matter-dependent contributions to the quartic Casimir term of the four-loop light-like cusp anomalous dimension in QCD, with $n_f$ fermion and $n_s$ scalar flavours. The result is extracted from the double pole…

高能物理 - 唯象学 · 物理学 2019-06-24 Johannes M. Henn , Tiziano Peraro , Maximilian Stahlhofen , Pascal Wasser

We compute the complete set of two-loop beam functions for the transverse momentum distribution of the leading jet produced in association with an arbitrary colour-singlet system. Our results constitute the last missing ingredient for the…

高能物理 - 唯象学 · 物理学 2023-05-17 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Luca Rottoli , Robert Szafron

We determine the next-to-leading order dispersion laws for slow-moving quarks in hard-thermal-loop perturbation of high-temperature QCD where weak coupling is assumed. Real-time formalism is used. The next-to-leading order quark self-energy…

高能物理 - 唯象学 · 物理学 2015-03-19 Abdessamad Abada , Karima Benchallal , Karima Bouakaz

I calculate the anomalous dimension governing the Q^2 evolution of the gluon (and structure functions) coming from the running coupling BFKL equation. This may be expressed in an exact analytic form, up to a small ultraviolet renormalon…

高能物理 - 唯象学 · 物理学 2009-10-31 R. S. Thorne

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…

高能物理 - 理论 · 物理学 2016-01-19 Rutger Boels , Bernd A. Kniehl , Gang Yang

We derive a compact all-loop-order expression for the IR-divergent part of the N=4 SYM four-gluon amplitude, which includes both planar and all subleading-color contributions, based on the assumption that the higher-loop soft anomalous…

高能物理 - 理论 · 物理学 2015-05-13 Stephen G. Naculich , Howard J. Schnitzer

Calculation results for the HQET field anomalous dimension and the QCD cusp anomalous dimension, as well as their properties, are reviewed. The HQET field anomalous dimension $\gamma_h$ is known up to 4 loops. The cusp anomalous dimension…

高能物理 - 唯象学 · 物理学 2024-02-27 Andrey Grozin

We provide results for the one-loop triple-collinear color/spin-space splitting operators for the five possible processes, $q \to qq'\bar{q}'$, $q \to qq\bar{q}$, $q \to qgg$, $g \to gq\bar{q}$ and $g \to ggg$. The expressions are exact in…

高能物理 - 唯象学 · 物理学 2022-07-11 Michał Czakon , Sebastian Sapeta

We present perturbative calculations made with domain-wall fermions which possess a finite number of points $N_s$ in the extra fifth dimension. We have derived the required propagator functions, investigated the one-loop properties of quark…

高能物理 - 格点 · 物理学 2008-11-26 Stefano Capitani

We consider twist-1, 2 operators in planar N=6 superconformal Chern-Simons ABJM theory. We derive higher order anomalous dimensions from integrability and test various QCD-inspired predictions known to hold in N=4 SYM. In particular, we…

高能物理 - 理论 · 物理学 2011-04-14 Matteo Beccaria , Guido Macorini

By considering the scaling behaviour of various Feynman graphs at leading order in large $\Nf$ at the non-trivial fixed point of the $d$-dimensional $\beta$-function of QCD we deduce the critical exponents corresponding to the quark, gluon…

高能物理 - 理论 · 物理学 2009-10-22 J. A. Gracey

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order \epsilon^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO…

高能物理 - 唯象学 · 物理学 2008-12-30 Charalampos Anastasiou , S. Mert Aybat

We analyze the iterative structure of unfactorized partonic structure functions in the large-x limit, and derive all-order expressions for the leading-logarithmic off-diagonal splitting functions P_gq and P_qg and the corresponding…

高能物理 - 唯象学 · 物理学 2014-11-21 A. Vogt

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…

高能物理 - 理论 · 物理学 2015-06-04 Diego Correa , Johannes Henn , Juan Maldacena , Amit Sever

In the framework of analytic approach to QCD the nonperturbative contributions in running coupling of strong interaction up to 4-loop order are obtained in an explicit form. For all $Q>\Lambda$ they are shown to be represented in the form…

高能物理 - 唯象学 · 物理学 2009-11-07 Aleksey I. Alekseev

An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the…

高能物理 - 唯象学 · 物理学 2013-10-23 Thomas Becher , Matthias Neubert

We present here the first result on the three-loop gluon jet function in perturbative QCD. Using the three-loop coefficient functions [1,2] for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a…

高能物理 - 唯象学 · 物理学 2018-11-28 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

We study QCD helicity amplitudes with an arbitrary number of (massive) quarks, keeping unobserved (loop) particles in fixed integer $D_s$ dimensions. We find a suitable embedding of external four-dimensional fermion states into higher…

高能物理 - 唯象学 · 物理学 2018-04-16 F. R. Anger , V. Sotnikov

There has been recent interest in understanding the all loop structure of the subleading power soft and collinear limits, with the goal of achieving a systematic resummation of subleading power infrared logarithms. Most of this work has…

高能物理 - 唯象学 · 物理学 2020-06-24 Ian Moult , Iain W. Stewart , Gherardo Vita , Hua Xing Zhu