English
Related papers

Related papers: A dispersive approach to Sudakov resummation

200 papers

We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge interactions. The associated evolution equations depend on the coupled $\beta$ functions of two (or more) coupling constants…

High Energy Physics - Phenomenology · Physics 2020-04-22 Georgios Billis , Frank J. Tackmann , Jim Talbert

In the dispersive approach of Dokshitzer, Marchesini and Webber, standard power-behaved contributions of infrared origin are described with the notion of an infrared regular QCD coupling. I argue that their framework suggests the existence…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Grunberg

Traditional calculations in perturbative quantum chromodynamics (pQCD) are based on an order-by-order expansion in the strong coupling $\alpha_s$. Observables that are calculable in this way are known as "safe". Recently, a class of unsafe…

High Energy Physics - Phenomenology · Physics 2015-06-17 Andrew J. Larkoski , Simone Marzani , Jesse Thaler

We develop the first systematic theoretical approach to dijet asymmetries in hadron-hadron collisions based on the perturbative QCD (pQCD) expansion and the Sudakov resummation formalism. We find that the pQCD calculation at next-to-leading…

High Energy Physics - Phenomenology · Physics 2018-06-13 Lin Chen , Guang-You Qin , Shu-Yi Wei , Bo-Wen Xiao , Han-Zhong Zhang

Sudakov form factors appear ubiquitously in factorized cross sections where they allow one to resum large logarithms to all orders in perturbation theory. Their exact evaluation requires numerical integrals over anomalous dimensions, which…

High Energy Physics - Phenomenology · Physics 2022-02-22 Markus A. Ebert

Power corrections to differential cross sections near a kinematic threshold are analysed by Dressed Gluon Exponentiation. Exploiting the factorization property of soft and collinear radiation, the dominant radiative corrections in the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Einan Gardi

While radiative corrections of infrared origin normally depress high energy amplitudes (Sudakov form factors), we find that in some cases resummation of leading effects produces exponentials with positive exponents, giving rise to…

High Energy Physics - Phenomenology · Physics 2014-11-20 Marcello Ciafaloni , Paolo Ciafaloni , Denis Comelli

We examine the large-order behaviour of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from…

High Energy Physics - Phenomenology · Physics 2013-01-08 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini , Jan Fischer

I present a unifying scheme for hadronic functions that comprises logarithmic corrections due to gluon emission in perturbative QCD, as well as power-behaved corrections of nonperturbative origin. The latter are derived by demanding that…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis

We present the explicit expressions for the resummation of large-x Sudakov effects in the transverse-energy distribution of prompt-photons produced in hadronic collisions, to next-to-leading logarithmic (NLL) accuracy. Fragmentation…

High Energy Physics - Phenomenology · Physics 2010-02-03 S. Catani , M. L. Mangano , P. Nason

Two recently proposed concepts to improve the perturbative calculation of exclusive amplitudes, gluonic radiative corrections (Sudakov factor) and confinement size effects (intrinsic transverse momentum) are combined to study the neutron…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Bolz , R. Jakob , P. Kroll , M. Bergmann , N. G. Stefanis

We consider a Borel sum definition of all-orders perturbation theory for Minkowskian QCD observables such as the R(e+e-) ratio, and show that both this perturbative component and the additional non-perturbative Operator Product Expansion…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. M. Howe , C. J. Maxwell

Starting from the divergence pattern of perturbative quantum chromodynamics, we propose a novel, non-power series replacing the standard expansion in powers of the renormalized coupling constant $a$. The coefficients of the new expansion…

High Energy Physics - Phenomenology · Physics 2011-09-13 Irinel Caprini , Jan Fischer

The normalization of the gluon condensate and of renormalon-related power corrections in QCD is computed under the assumption that their ``perturbative'' part dominates over any eventual extra contribution from the non-trivial vacuum. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Georges Grunberg

I present new results on the quark distribution in an on-shell heavy quark in perturbative QCD and explore its all-order relations with heavy-quark fragmentation. I first compute the momentum distribution function to all orders in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Einan Gardi

We present a new prescription for the resummation of the divergent series of perturbative corrections, due to soft gluon emission, to hard processes near threshold in perturbative QCD (threshold resummation). This prescription is based on…

High Energy Physics - Phenomenology · Physics 2008-11-26 Riccardo Abbate , Stefano Forte , Giovanni Ridolfi

Scattering amplitudes of partons in QCD contain infrared divergences which can be resummed to all orders in terms of an anomalous dimension. Independently, in the limit of high-energy forward scattering, large logarithms of the energy can…

High Energy Physics - Phenomenology · Physics 2020-05-20 Simon Caron-Huot , Einan Gardi , Joscha Reichel , Leonardo Vernazza

Dispersion relations are nonperturbative formulas that relate the ultraviolet and infrared behavior of an observable with wide-ranging applications applications in linear response theory, quantum field theory scattering amplitudes, and…

High Energy Physics - Theory · Physics 2025-11-19 Dean Carmi , Javier Moreno , Shimon Sukholuski

We present a formulation to give renormalon-free predictions consistently with fixed order perturbative results. The formulation has a similarity to Lee's method in that the renormalon-free part consists of two parts: one is given by a…

High Energy Physics - Phenomenology · Physics 2020-10-28 Hiromasa Takaura

A main feature of high-energy scattering in QCD is saturation in the number density of gluons. This phenomenon is described by non-linear evolution equations, JIMWLK and BK, which have been derived at leading logarithmic accuracy. In this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Einan Gardi , Janne Kuokkanen , Kari Rummukainen , Heribert Weigert