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We calculate three jet cross sections in photoproduction using exact matrix elements for the direct and resolved contributions. Numerical distributions are presented in a generic, irreducible set of variables that allows to disentangle the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael Klasen

The complete soft-enhanced and virtual-gluon contributions are derived for the quark coefficient functions in semi-inclusive e^+e^- annihilation to the third order in massless perturbative QCD. These terms enable us to extend the soft-gluon…

High Energy Physics - Phenomenology · Physics 2009-11-06 S. Moch , A. Vogt

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We extend to a general class of covariant gauges an approach which relates the thermal Green functions to forward scattering amplitudes of thermal particles. A brief discussion of the non-transversality of the thermal gluon polarization…

High Energy Physics - Theory · Physics 2009-10-30 F. T. Brandt , J. Frenkel

We present a computation of the global soft function for single-inclusive hadronic jet production at next-to-next-to-leading order (NNLO) in the strong coupling constant involving four light-like Wilson lines. Our soft function belongs to…

High Energy Physics - Phenomenology · Physics 2021-10-04 Yaroslav Balytskyi , Jianbo Gao

We have computed the next-to-next-to-leading-order (NNLO) contributions to the evolution of unpolarized parton distributions in perturbative QCD. In this talk, we briefly recall why this huge computation was necessary and outline how it was…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vogt , S. Moch , J. Vermaseren

We compute the spectrum of gluons emitted by a highly energetic quark inside a flowing QCD medium, focusing on the soft gluon limit at first order in the opacity expansion. Specifically, we derive the leading energy-suppressed corrections…

High Energy Physics - Phenomenology · Physics 2024-06-24 Matvey V. Kuzmin , Xoán Mayo López

We compute the complete third-order contributions to the coefficient functions for the longitudinal structure function F_L, thus completing the next-to-next-to-leading order (NNLO) description of unpolarized electromagnetic deep-inelastic…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

We study next-to-leading order contributions to the soft static fermion dispersion relation in hot QED. We derive an expression for the complete next-to-leading order contribution to the retarded fermion self-energy. The real and imaginary…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. E. Carrington

We calculate the next-to-leading order fully unintegrated hard scattering coefficient for unpolarized gluon-induced deep inelastic scattering using the logical framework of parton correlation functions developed in previous work. In our…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ted C. Rogers

We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in…

High Energy Physics - Phenomenology · Physics 2023-02-01 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Zhengwen Liu

We calculate the two-mass contribution to the 3-loop vacuum polarization of the gluon in Quantum Chromodynamics at virtuality $p^2 = 0$ for general masses and also present the analogous result for the photon in Quantum Electrodynamics.

High Energy Physics - Phenomenology · Physics 2017-10-13 J. Blümlein , A. De Freitas , C. Schneider , K. Schönwald

We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

Using the background field technique, we calculate the 3-loop beta function of lattice $SU(N)$ gauge theories. In the pure gluonic case, we present our results, comparing to those recently obtained by Luescher and Weisz. We also provide a…

High Energy Physics - Lattice · Physics 2009-10-28 B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

An analytical expression for the three-loop form factors for $ggH$ and $\gamma\gamma H$ is derived for the contributions which involve massless quark loops. The result is expressed in terms of harmonic polylogarithms. It fully agrees with…

High Energy Physics - Phenomenology · Physics 2020-07-23 Robert V. Harlander , Mario Prausa , Johann Usovitsch

The energy evolution of average multiplicities and multiplicity fluctuations in jets produced in heavy-ion collisions is investigated from a toy QCD-inspired model. In this model, we use modified splitting functions accounting for…

High Energy Physics - Phenomenology · Physics 2009-08-05 Redamy Perez Ramos

The next-to-next-to-next-to-leading order (N^3LO) Hamiltonian of potential nonrelativistic QCD is derived. The complete matching of the Hamiltonian and the contribution from the ultrasoft dynamical gluons relevant for perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. A. Kniehl , A. A. Penin , V. A. Smirnov , M. Steinhauser

We report a new calculation of the soft-gluon threshold resummation for the Higgs boson pair production in the dominant production mode -- gluon-gluon fusion -- up to the next-to-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. After…

High Energy Physics - Phenomenology · Physics 2023-02-13 A. H. Ajjath , Hua-Sheng Shao

We present an analytic three-loop result for the leading color contribution to the Higgs-gluon form factor in QCD. The leading color contribution is given at next-to-next-to-leading order by the $N_c^2$-term in QCD with $N_c$ colors. The…

High Energy Physics - Phenomenology · Physics 2021-03-16 Mario Prausa , Johann Usovitsch

We generalise the most extensively used Gunion-Bertsch formula for the soft gluon emission in a perturbative QCD, which could be very important for the phenomenology of the hot and dense matter produced in the heavy-ion collisions.

Nuclear Theory · Physics 2015-03-17 Raktim Abir , Carsten Greiner , Mauricio Martinez , Munshi G. Mustafa
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