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The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop…

High Energy Physics - Phenomenology · Physics 2010-09-27 Nan Su , Jens O. Andersen , Michael Strickland

We study the nonperturbative and higher order perturbative corrections on the electromagnetic ($F_{1p,2p}^\gamma$) and electromagnetic-weak interference ($F_{1p,2p,3p}^{\gamma Z}$) structure functions and their impact on the parity…

High Energy Physics - Phenomenology · Physics 2026-03-17 F. Zaidi , M. Sajjad Athar , S. K. Singh

The associated production of a Higgs boson with a top-antitop quark pair is a crucial process at the LHC since it allows for a direct measurement of the top-quark Yukawa coupling. We present the computation of the radiative corrections to…

High Energy Physics - Phenomenology · Physics 2023-03-29 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Stefan Kallweit , Javier Mazzitelli , Chiara Savoini

We continue an effort to obtain information on the QED perturbation series at high loop orders, and particularly on the issue of large cancellations inside gauge invariant classes of graphs, using the example of the l - loop N - photon…

High Energy Physics - Theory · Physics 2011-01-28 I. Huet , D. G. C. McKeon , C. Schubert

Fractional analytic QCD is constructed beyond leading order using the standard inverse logarithmic expansion. It is shown that, contrary to the usual QCD coupling constant, for which this expansion can be used only for large values of its…

High Energy Physics - Phenomenology · Physics 2023-05-30 A. V. Kotikov , I. A. Zemlyakov

Perturbative QCD results in the MSbar scheme can be dramatically improved by switching to a scheme that accounts for the dominant power law dependence on the factorization scale in the operator product expansion. We introduce the ``MSR…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andre H. Hoang , Ambar Jain , Ignazio Scimemi , Iain W. Stewart

Triggered by the observation of four top-quark production at the LHC by the ATLAS and CMS collaboration we report on the calculation of the next-to-leading order QCD corrections to the Standard Model process $pp \to t\bar{t}t\bar{t}$ in the…

High Energy Physics - Phenomenology · Physics 2024-06-24 Nikolaos Dimitrakopoulos , Malgorzata Worek

We present the calculation of the order $\alpha_s^2$ corrections to the coefficient functions contributing to the longitudinal ($F_L(x,Q^2)$) and transverse fragmentation functions ($F_T(x,Q^2)$) measured in electron-positron annihilation.…

High Energy Physics - Phenomenology · Physics 2009-09-25 P. J. Rijken , W. L. van Neerven

In these conference proceedings, we discuss recent progress in high-order perturbative studies of the thermodynamic and transport properties of dense quark matter. Special emphasis is placed on the introduction of a promising new…

High Energy Physics - Phenomenology · Physics 2025-12-09 Pablo Navarrete , Aleksi Vuorinen

We present an updated version of a QCD coupling which fulfills various physically motivated conditions: at high momenta it practically coincides with the perturbative QCD (pQCD) coupling; at intermediate momenta it reproduces correctly the…

High Energy Physics - Phenomenology · Physics 2021-05-26 Gorazd Cvetic , Reinhart Kogerler

We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , J. A. M. Vermaseren , A. Vogt

We discuss some problems concerning the application of perturbative QCD to high energy processes. In particular for hard processes, we analyze higher order and higher twist corrections. It is argued that these effects are of great…

High Energy Physics - Phenomenology · Physics 2009-12-18 A. Efremov , A. Radyushkin

Starting from the divergence pattern of perturbation expansions in Quantum Field Theory and the (assumed) asymptotic character of the series, we address the problem of ambiguity of a function determined by the perturbation expansion. We…

High Energy Physics - Theory · Physics 2015-05-14 Irinel Caprini , Jan Fischer , Ivo Vrkoč

Being a determination at low energies, the analysis of hadronic tau decay data provides a rather precise determination of the strong coupling alpha_s after evolving the result to M_Z. At such a level of precision, even small…

High Energy Physics - Phenomenology · Physics 2015-06-03 D. Boito , O. Cata , M. Golterman , M. Jamin , K. Maltman , J. Osborne , S. Peris

These proceedings summarize a newly found connection between the factorial growth of coefficients in perturbative QCD and power corrections to the perturbation series, discussed in refs. [1-4]. The improved convergence is shown for three…

High Energy Physics - Phenomenology · Physics 2025-05-28 Andreas S. Kronfeld

The QCD analytic running coupling alpha_{an} which has no nonphysical singularities for all Q^2>0 is considered for the initial perturbation theory approximations up to four loop order. The finiteness of the analytic coupling at zero is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

I discuss the status of the computation of the two-loop QCD corrections to top-quark pair production associated with a jet at hadron colliders. This amplitude is a missing ingredient for next-to-next-to-leading order (NNLO) QCD predictions.…

High Energy Physics - Phenomenology · Physics 2024-11-19 Colomba Brancaccio

We perform an analytic calculation of the one-loop amplitude for the W-boson mediated process 0 \to d u-bar Q Q-bar l-bar l, retaining the mass for the quark Q. The momentum of each of the massive quarks is expressed as the sum of two…

High Energy Physics - Phenomenology · Physics 2011-03-18 Simon Badger , John M. Campbell , R. K. Ellis

In a recent work by some of us it was shown that the long-standing discrepancy between the QCD perturbation series for the inclusive hadronic tau decay rate computed in the CIPT and FOPT expansion approaches can be understood from the fact…

High Energy Physics - Phenomenology · Physics 2022-07-14 Miguel A. Benitez-Rathgeb , Diogo Boito , André H. Hoang , Matthias Jamin , Christoph Regner

Three-loop QCD corrections to the vector current correlator are considered. The large momentum procedure is applied in order to evaluate mass corrections up to order $(m^2/q^2)^6$. The inclusion of the first seven terms to the ratio…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Chetyrkin , R. Harlander , J. H. Kuehn , M. Steinhauser