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Over the past few years considerable progress has been made on the resummation of double-logarithmically enhanced threshold (large-x) and high-energy (small-x) higher-order contributions to the splitting functions for parton and…

High Energy Physics - Phenomenology · Physics 2012-12-13 A. Vogt , C. H. Kom , N. A. Lo Presti , G. Soar , A. A. Almasy , S. Moch , J. A. M. Vermaseren , K. Yeats

Collider observables involving heavy particles are subject to large logarithmic terms near threshold, which must be summed to all orders in perturbation theory to obtain sensible results. Relatively recently, this resummation has been…

High Energy Physics - Phenomenology · Physics 2022-01-05 Melissa van Beekveld , Leonardo Vernazza , Chris D. White

We investigate one-particle semi-inclusive processes in lepton-hadron scattering. In unpolarized scattering order $Q^{-1}$ corrections appear only when transverse momenta are detected. We consider the twist two and three matrix elements and…

High Energy Physics - Phenomenology · Physics 2009-12-15 J. Levelt , P. J. Mulders

The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\bar{MS}$-scheme in the limit of a large $N_f$. We find that in the factorial growth of the coefficients due to renormalons takes…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

We discuss recent progress concerning the resummation of large logarithms at next-to-leading power (NLP) in scattering processes such as Drell-Yan and deep inelastic scattering near threshold, and thrust in the two-jet limit. We start by…

High Energy Physics - Phenomenology · Physics 2024-03-05 Leonardo Vernazza

Resummation of large infrared logarithms in perturbation theory can, in certain circumstances, enhance the sensitivity to small gluon momenta and introduce spurious nonperturbative contributions. In particular, different procedures --…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Beneke , V. M. Braun

We consider the resummation of soft-gluon effects in heavy quark to heavy quark decays, namely the processes Q1 -> Q2 + (non QCD partons), where Q1 and Q2 are two different heavy quarks. We construct a new factorization scheme for threshold…

High Energy Physics - Phenomenology · Physics 2023-05-29 U. G. Aglietti , G. Ferrera

A consistent evolution of the strong coupling constant $\alpha_s$ from $M_Z$ to the GUT scale is presented, involving three-loop running and two-loop decoupling. The two-loop transition from the MS- to the DR-scheme is properly taken into…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. V. Harlander , L. Mihaila , M. Steinhauser

We derive threshold resummations for single-particle and single-jet inclusive cross sections, thus generalizing previous results at fixed invariant mass to a wider class of cross sections with phenomenological interest. We confirm the…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Laenen , G. Oderda , G. Sterman

We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the…

Within the framework of a high-twist approach, we show the first complete next-to-leading order calculation of transverse momentum broadening in semi-inclusive deeply inelastic $e+A$ scattering and Drell-Yan dilepton production in $p+A$…

High Energy Physics - Phenomenology · Physics 2015-03-09 Hongxi Xing , Zhong-Bo Kang , Enke Wang , Xin-Nian Wang

We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. The logarithmically-enhanced contributions at small transverse momentum are treated to all perturbative orders by a universal…

High Energy Physics - Phenomenology · Physics 2015-06-17 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

We extract the strong coupling constant $\alpha_s(m_\tau^2)$ from the semileptonic $\tau$ decay width taking into account resummation effects from the running of the strong coupling constant. In the $\overline{\rm MS}$ scheme the result…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Groote , J. G. Körner , A. A. Pivovarov

We review some techniques of resummation applied to heavy quark production in hadronic scattering and electroproduction near partonic threshold, and discuss the reduction of factorization scale dependence in resummed cross sections.

High Energy Physics - Phenomenology · Physics 2007-05-23 Gianluca Oderda , Nikolaos Kidonakis , George Sterman

We present a factorization theorem of the partonic Drell-Yan off-diagonal processes $g\bar{q}\,(qg) \to \gamma^* + X$ in the kinematic threshold regime $z=Q^2/\hat{s} \to 1$ at general subleading powers in the $(1-z)$ expansion. Focusing on…

High Energy Physics - Phenomenology · Physics 2024-01-30 Alessandro Broggio , Sebastian Jaskiewicz , Leonardo Vernazza

We present results on the fourth-order splitting functions and coefficient functions obtained using Forcer, a four-loop generalization of the Mincer program for the parametric reduction of self-energy integrals. We have computed the…

High Energy Physics - Phenomenology · Physics 2016-05-27 B. Ruijl , T. Ueda , J. A. M. Vermaseren , J. Davies , A. Vogt

We compute the two-loop corrections to the massless quark form factor $\gamma^* \to q\bar q$ and gluon form factor $H\to gg$ to all orders in the dimensional regularisation parameter $\epsilon=(4-d)/2$. The two-loop contributions to the…

High Energy Physics - Phenomenology · Physics 2021-11-04 T. Gehrmann , T. Huber , D. Maitre

We study the semi-inclusive limit of the deep inelastic scattering and Drell-Yan (DY) processes in soft collinear effective theory. In this regime so-called threshold logarithms must be resummed to render perturbation theory well behaved.…

High Energy Physics - Phenomenology · Physics 2017-07-17 Sean Fleming , Ou Z. Labun

We present analytic all-order results for the highest three threshold logarithms of the space-like and time-like off-diagonal splitting functions and the corresponding coefficient functions for inclusive deep-inelastic scattering (DIS) and…

High Energy Physics - Phenomenology · Physics 2016-02-17 A. A. Almasy , N. A. Lo Presti , A. Vogt

Motivated by recently observed tension between $O\left(\alpha_s^2\right)$ calculations of very large transverse momentum dependence in both semi-inclusive deep inelastic scattering and Drell-Yan scattering, we repeat the details of the…

High Energy Physics - Phenomenology · Physics 2019-05-29 B. Wang , J. O. Gonzalez-Hernandez , T. C. Rogers , N. Sato