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I discuss some of the basic techniques and results of soft gluon resummation, and their applications to scattering at collider energies.

高能物理 - 唯象学 · 物理学 2014-11-17 George Sterman

We compute the two-loop helicity amplitudes for the scattering of five gluons, including all contributions beyond the leading-color approximation. The analytic expressions are represented as linear combinations of transcendental functions…

高能物理 - 唯象学 · 物理学 2024-05-15 Giuseppe De Laurentis , Harald Ita , Maximillian Klinkert , Vasily Sotnikov

We present a new procedure using on-shell recursion to determine coefficients of integral functions appearing in one-loop scattering amplitudes of gauge theories, including QCD. With this procedure, coefficients of integrals, including…

高能物理 - 唯象学 · 物理学 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar , Harald Ita

We present the polarized parton distribution functions from a QCD analysis of the worldwide polarized deep inelastic scattering data, based on the dynamical parton distribution model. All the sea quarks and gluons are dynamically generated…

高能物理 - 唯象学 · 物理学 2022-11-23 Chengdong Han , Gang Xie , Rong Wang , Xurong Chen

Integral and derivative dispersion relations (DR) are considered for the $pp$ and $\bar pp$ forward scattering amplitudes. A new representation for the derivative DR, valid at lower energies than the standard one, is obtained. The data on…

高能物理 - 唯象学 · 物理学 2007-05-23 J. R. Cudell , E. Martynov , O. V. Selyugin

We perform a global leading-order QCD fit to recent polarized structure function data in order to extract a consistent set of spin-dependent parton distributions. Assuming that there is no significant intrinsic polarization of the quark…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Gehrmann , W. J. Stirling

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

We present a framework for constructing Generalized Parton Distributions (GPDs) using holographic QCD in the large $N_c$ limit, with a focus on low-x and finite skewness. Our approach utilizes holographic amplitudes for exclusive…

高能物理 - 唯象学 · 物理学 2023-07-04 Kiminad A. Mamo , Ismail Zahed

The quantum inverse scattering method is applied to the solution of equations for wave functions of compound states of $n$ reggeized gluons in the multicolour QCD in a generalized leading logarithmic approximation.

高能物理 - 理论 · 物理学 2007-05-23 L. N. Lipatov

We present the publicly available program NGluon allowing the numerical evaluation of primitive amplitudes at one-loop order in massless QCD. The program allows the computation of one-loop amplitudes for an arbitrary number of gluons. The…

高能物理 - 唯象学 · 物理学 2012-08-02 Simon Badger , Benedikt Biedermann , Peter Uwer

I present results for the resummation of soft-gluon contributions to QCD hard-scattering cross sections at next-to-next-to-leading logarithm accuracy. A key ingredient is the calculation of two-loop soft anomalous dimensions for the…

高能物理 - 唯象学 · 物理学 2011-04-12 Nikolaos Kidonakis

A comparative investigation of various Pomeron models is carried out through the study of their predicted values of $ \sigma_{tot}$, B, and $\frac{\sigma_{el}}{\sigma_{tot}}$ in high energy pp and p$\bar{p}$ scattering. Our results strongly…

高能物理 - 唯象学 · 物理学 2009-10-22 E. Gotsman , E. M. Levin , U. Maor

In this paper we show that the sum of enhanced BFKL Pomeron loop diagrams generates the scattering amplitude, which turns out to be much smaller, than in the case of deep inelastic scattering. We use the simplified BFKL kernel in the…

高能物理 - 唯象学 · 物理学 2024-03-18 Eugene Levin

By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time…

高能物理 - 理论 · 物理学 2008-11-26 Diana Vaman , York-Peng Yao

The basis of renormalon calculus is briefly discussed. The method is applied to study QCD predictions for three sum rules of deep-inelastic scattering, namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is…

高能物理 - 唯象学 · 物理学 2009-11-11 A. L. Kataev

We present the NNLO QCD virtual corrections for qurak-antiquark -> gluon photon, quark-antiquark -> photon photon and the NNLO QED virtual corrections for electron positron -> photon photon and all processes related by crossing symmetry. We…

高能物理 - 唯象学 · 物理学 2008-11-26 C. Anastasiou , E. W. N. Glover , M. E. Tejeda-Yeomans

We consider the process containing two quark lines and an arbitrary number of gluons in a spinor helicity framework. A current with two off-shell gluons appears in the amplitude. We first study this modified gluon current using recursion…

高能物理 - 唯象学 · 物理学 2009-10-22 G. Mahlon , T. M. Yan , C. Dunn

Hadron inclusive spectra in pp collisions are analyzed within the modified quark-gluon string model including both the longitudinal and transverse motion of quarks in the proton in the wide region of initial energies. The self-consistent…

高能物理 - 唯象学 · 物理学 2015-05-27 V. A. Bednyakov , A. A. Grinyuk , G. I. Lykasov , M. Poghosyan

We present results for the six-gluon scattering amplitude at one-loop. Since our method is semi-numerical, it yields the result for arbitrary momenta and helicities of the external gluons. We evaluate the colour-ordered sub-amplitudes with…

高能物理 - 唯象学 · 物理学 2009-11-11 R. K. Ellis , W. T. Giele , Giulia Zanderighi

Following a previous calculation of quark scattering in eikonal approximation, this paper presents a new, analytic and rigorous approach to the calculation of QCD phenomena. In this formulation a basic distinction between the conventional…

高能物理 - 唯象学 · 物理学 2015-01-20 H. M. Fried , T. Grandou , Y. -M. Sheu