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Related papers: Path Integral Methods for Soft Gluon Resummation

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We introduce a technique for recovering a sufficiently smooth function from its ray transform over a wide class of curves in a general region of Euclidean space. The method is based on a complexification of the underlying vector fields…

Complex Variables · Mathematics 2010-11-17 Nicholas Hoell , Guillaume Bal

Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x->1. The factorization theorem for the structure…

High Energy Physics - Phenomenology · Physics 2010-10-27 Thomas Becher , Matthias Neubert , Ben D. Pecjak

This work provides the community with an easily executable open-source Python package designed to automize the evaluation of Interfacial Phonons (InterPhon). Its strategy of arbitrarily defining the interfacial region and periodicity…

Materials Science · Physics 2021-07-20 In Won Yeu , Gyuseung Han , Kun Hee Ye , Cheol Seong Hwang , Jung-Hae Choi

We complete the coordinate space calculation of the three-parton correlation in the two-loop massive soft anomalous dimension matrix. The full answer agrees with the result found previously by a different approach. The coordinate space…

High Energy Physics - Phenomenology · Physics 2010-10-22 Alexander Mitov , George Sterman , Ilmo Sung

In the article, we study prompt $J/\psi$ production at small transverse momentum within the Transverse Momentum Dependent (TMD) factorization. The Soft Gluon Resummation (SGR) approach is used for modelling of TMD PDFs. The hadronization…

High Energy Physics - Phenomenology · Physics 2026-02-02 Vladimir Saleev , Kirill Shilyaev

We introduce Soft Kernel Interpolation (SoftKI), a method that combines aspects of Structured Kernel Interpolation (SKI) and variational inducing point methods, to achieve scalable Gaussian Process (GP) regression on high-dimensional…

Machine Learning · Statistics 2025-09-18 Chris Camaño , Daniel Huang

Recently methods have been developed to extend the resummation of large-x double logarithms in inclusive deep-inelastic scattering (DIS) to terms not addressed by the soft-gluon exponentiation. Here we briefly outline our approach based on…

High Energy Physics - Phenomenology · Physics 2012-02-24 N. A. Lo Presti , A. Vogt , A. A. Almasy

Results are presented for the medium-induced, soft coherent radiation spectrum for all $2\to 2$ partonic channels in QCD, at leading-order in $\alpha_s$ but beyond leading logarithmic accuracy. The general formula is valid in the full…

High Energy Physics - Phenomenology · Physics 2024-06-03 Greg Jackson , Stéphane Peigné , Kazuhiro Watanabe

I present results for the resummation of soft and collinear gluon contributions to QCD hard-scattering cross sections at two loops. This requires the calculation of UV and IR divergences through two loops and the construction of soft…

High Energy Physics - Phenomenology · Physics 2010-11-19 Nikolaos Kidonakis

We present a derivation of the medium-induced gluon radiation spectrum beyond the current limitation of soft gluon emission. Making use of the path integral approach to describe the propagation of high-energy particles inside a medium, we…

High Energy Physics - Phenomenology · Physics 2012-11-08 Liliana Apolinário , Néstor Armesto , Carlos A. Salgado

In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only discrete data available. Thus one often resorts to sampling…

Functional Analysis · Mathematics 2011-08-30 Isaac Pesenson , Eric Grinberg

We revisit the calculation of the medium-induced gluon spectrum in a finite QCD and develop a new approach that goes beyond multiple soft scattering approximation. We show by expanding around the harmonic oscillator that the first two…

High Energy Physics - Phenomenology · Physics 2019-09-04 Yacine Mehtar-Tani

The correspondence between the gluon density behavior of the color dipole picture and the two-Pomeron approach at low $x$ deep inelastic scattering is considered. For photon virtualities of $Q^{2}{\gtrsim}10~\mathrm{GeV}^{2}$, the results…

High Energy Physics - Phenomenology · Physics 2023-03-16 G. R. Boroun

We discuss the Sudakov form factor in the framework of the soft-collinear effective theory. The running of the short distance coefficient function from high to low scale gives the summation of Sudakov logarithms to all orders. Our…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zheng-Tao Wei

We calculate the two-loop and one-loop/one-emission contributions required for soft gluon evolution at the next-to-leading order. The colour structures are expressed in the colour flow basis, and the kinematic dependence and loop integrals…

High Energy Physics - Phenomenology · Physics 2021-06-16 Simon Plätzer , Ines Ruffa

Notions of core, support and inversion of a soft set have been defined and studied. Soft approximations are soft sets developed through core and support, and are used for granulating the soft space. Membership structure of a soft set has…

Artificial Intelligence · Computer Science 2016-11-25 Athar Kharal

In QCD, the amplitude for multiple soft gluon emissions has been shown to exhibit a form of coherence, wherein one-loop corrections are rendered IR finite by the transverse momentum of the real emissions. Using a sequence of soft-collinear…

High Energy Physics - Phenomenology · Physics 2021-12-08 Jeffrey Robert Forshaw , Jack Holguin , Aditya Pathak

We address the problem of decomposing graphs in perturbative QCD into terms associated with particular regions. Motivated by asking how to incorporate next-to-leading order (NLO) QCD corrections in parton-shower algorithms, we require that:…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. C. Collins , F. Hautmann

The consistent description of unstable particles, renormalons, or other Schwinger--Dyson-type of solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green's functions,…

High Energy Physics - Phenomenology · Physics 2011-08-17 Joannis Papavassiliou , Apostolos Pilaftsis

Event-shape distributions in $e^+e^-$ annihilation offer a unique lab oratory for understanding perturbative and non-perturbative aspects of QCD. Dressed Gluon Exponentiation is a resummation method designed to evaluate differ ential cross…

High Energy Physics - Phenomenology · Physics 2017-08-23 Einan Gardi , Johan Rathsman
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