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Related papers: Saddle-point method for resummed form factors in Q…

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The renormalization-group properties of gauge-invariant transverse-momentum dependent (TMD) parton distribution functions (PDF) in QCD are addressed. We perform an analysis of their leading-order anomalous dimensions, which are local…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. O. Cherednikov , N. G. Stefanis

We present the saddle-point approximation for the effective Hamiltonian of the quantum kink in two-dimensional linear sigma models to all orders in the time-derivative expansion. We show how the effective Hamiltonian can be used to obtain…

High Energy Physics - Theory · Physics 2020-12-30 Ilarion V. Melnikov , Constantinos Papageorgakis , Andrew B. Royston

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 present a model for next-to-leading order resummed threshold form factors based on a time-like coupling recently introduced in the framework of small x physics. Improved expressions for the form factors in N-space are obtained which are…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ugo Aglietti , Giulia Ricciardi

I elaborate on the implementation of analyticity of hadronic quantities at the amplitude level and show that it amounts to the extension of Analytic Perturbation Theory of Shirkov and Solovtsov to non-integer (fractional) powers of the…

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

It is reported on predictions for the $\pi$-$\gamma$ transition form factor obtained within a perturbative approach which includes transverse momentum effects and Sudakov corrections. The results clearly favor distribution amplitudes close…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Kroll

Explicit applications of factorization theorems for processes at hadron colliders near the hadronic endpoint have largely focused on simple final states with either no jets (e.g., Drell-Yan) or one inclusive jet (e.g., deep inelastic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

Long-time-integrated quantities in stochastic processes, in or out of equilibrium, usually exhibit rare but huge fluctuations. Work or heat production is such a quantity, of which the probability distribution function displays an…

Statistical Mechanics · Physics 2015-06-16 Jae Sung Lee , Chulan Kwon , Hyunggyu Park

We review soft-collinear effective theory (SCET), and apply it to discuss quark electromagnetic form factor, then present the resumed transverse momentum distribution of Higgs-boson production via gluon fusion under this framework, where we…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yang Gao , Chong Sheng Li , Jian Jun Liu

We study the transverse momentum resummation for dijet correlation in hadron collisions based on the Collins-Soper-Sterman formalism. The complete one-loop calculations are carried out in the collinear factorization framework for the…

High Energy Physics - Phenomenology · Physics 2015-11-11 Peng Sun , C. -P. Yuan , Feng Yuan

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

We investigate the predictive power of Collins, Soper, and Sterman's $b$-space QCD resummation formalism for transverse momentum ($Q_T$) distributions of heavy boson production in hadronic collisions. We show that the predictive power of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jianwei Qiu , Xiaofei Zhang

This paper presents an identity between the multivariate and univariate saddlepoint approximations applied to sample path probabilities for a certain class of stochastic processes. This class, which we term the recursively compounded…

Probability · Mathematics 2024-06-21 Jesse Goodman

Saddle-point configurations, such as the Euclidean bounce and sphalerons, are known to be difficult to find numerically. In this Letter we study a new method, Quartic Gradient Flow, to search for such configurations. The central idea is to…

High Energy Physics - Phenomenology · Physics 2024-06-18 Muzi Hong , Ryusuke Jinno

We derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) correlator, including kinematic power corrections to all orders. The resulting expression involves only twist-two TMD distributions and is frame…

High Energy Physics - Phenomenology · Physics 2026-03-23 Alejandro Bris Cuerpo , Arturo Arroyo-Castro , Alexey Vladimirov

The lack of convergence of the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics.…

High Energy Physics - Phenomenology · Physics 2022-08-10 M. Beneke , M. Garny , S. Jaskiewicz , J. Strohm , R. Szafron , L. Vernazza , J. Wang

We investigate the use of jets to measure transverse momentum dependent distributions (TMDs). The example we use to present our framework is the dijet momentum decorrelation at lepton colliders. Translating this momentum decorrelation into…

High Energy Physics - Phenomenology · Physics 2018-10-24 Daniel Gutierrez-Reyes , Ignazio Scimemi , Wouter J. Waalewijn , Lorenzo Zoppi

We provide an elementary pedagogical introduction to some basic concepts and techniques of soft (or Sudakov) resummation, specifically in QCD, paying particular attention to simple but useful tricks of the trade. We briefly review collinear…

High Energy Physics - Phenomenology · Physics 2026-04-09 Stefano Forte , Giovanni Ridolfi

We extend the Collins-Soper-Sterman (CSS) formalism to apply it to the spin-dependence governed by the Sivers function. We use it to give a correct numerical QCD evolution of existing fixed-scale fits of the Sivers function. With the aid of…

High Energy Physics - Phenomenology · Physics 2013-05-30 S. Mert Aybat , John C. Collins , Jian-Wei Qiu , Ted C. Rogers

The effect of different boost expressions, pertinent to the instant, front and point forms of relativistic quantum mechanics, is considered for the calculation of the ground-state form factor of a two-body system in simple scalar models.…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Theussl , A. Amghar , B. Desplanques , S. Noguera