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Proof of factorization of soft and collinear divergences in non-equilibrium QCD may be necessary to study hadronic signatures of quark-gluon plasma at RHIC and LHC. In this paper we prove factorization of soft and collinear divergences in…

High Energy Physics - Phenomenology · Physics 2010-05-28 Gouranga C Nayak

Differential measurements of the semi-inclusive deep inelastic scattering (SIDIS) process with polarized beams provide important information on the three-dimensional structure of hadrons. Among the various observables are azimuthal…

High Energy Physics - Phenomenology · Physics 2023-06-21 Markus A. Ebert , Anjie Gao , Iain W. Stewart

I review the theoretical ideas and concepts along the line of factorization in the exclusive B decays. In order to understand the naive factorization, the effective field theories and the perturbative method of QCD are introduced and…

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

We consider generation of diffusive radiation by a charged particle passing through a random stack of plates in the infrared region. Diffusive radiation originates due to multiple scattering of pseudophotons on the plates. To enhance the…

Accelerator Physics · Physics 2016-11-15 E. A. Ayryan , A. H. Gevorgyan , K. B. Oganesyan

We present a quantum theory for the dynamic structure factors in non-equilibrium, correlated, two-component systems such as plasmas or warm dense matter. Using this general framework, we derive expressions for effective local field…

Plasma Physics · Physics 2018-01-31 J. Vorberger , D. A. Chapman

We give a complete account of how soft gluon, massless quark, evolution equations in colour space originate, from a factorization into a hard cross section density operator and a soft function encoding measurements and the projection on…

High Energy Physics - Phenomenology · Physics 2023-08-02 Simon Plätzer

A method is proposed to streamline the computation of hidden particle production rates by factorizing them into i) a model-independent SM contribution, and ii) a observable-independent hidden sector contribution. The Standard Model (SM)…

High Energy Physics - Phenomenology · Physics 2022-09-14 Philipp Klose

We use our current understanding of the all-order singularity structure of gauge theory amplitudes to probe their high-energy limit. Our starting point is the dipole formula, a compact ansatz for the soft anomalous dimension matrix of…

High Energy Physics - Phenomenology · Physics 2012-10-26 Lorenzo Magnea , Vittorio Del Duca , Claude Duhr , Einan Gardi , Chris D. White

Using the formalism of soft-collinear effective theory, a complete separation of short- and long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions $\zeta_M(E)$…

High Energy Physics - Phenomenology · Physics 2010-04-05 Bjorn O. Lange , Matthias Neubert

Using Soft-Collinear Effective Theory we derive factorization formulae for semi-inclusive processes where a light hadron h fragments from a jet whose invariant mass is measured. Our analysis yields a novel "fragmenting jet function"…

High Energy Physics - Phenomenology · Physics 2011-06-15 Massimiliano Procura , Iain W. Stewart

We propose the inclusive hadroproduction of a heavy-light dijet system, as a new channel for the investigation of high energy QCD. We build up a hybrid factorization that incorporates a partial next-to-leading BFKL resummation inside the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Andrèe Dafne Bolognino , Francesco Giovanni Celiberto , Michael Fucilla , Dmitry Yu. Ivanov , Alessandro Papa

We explore the connection between the factorisation of virtual corrections to multi-particle massless gauge theory amplitudes and the problem of subtraction at NNLO and beyond. Taking inspiration from virtual factorisation, we provide a set…

High Energy Physics - Phenomenology · Physics 2018-01-22 Lorenzo Magnea , Ezio Maina , Paolo Torrielli , Sandro Uccirati

I show that factorization for hard processes in QCD is also valid when the detected particles are polarized, and that the proof of the theorem determines the operator form for the parton densities. Particular attention is given to the case…

High Energy Physics - Phenomenology · Physics 2009-10-22 John C. Collins

A detailed proof of hard scattering factorization is given with the inclusion of heavy quark masses. Although the proof is explicitly given for deep-inelastic scattering, the methods apply more generally The power-suppressed corrections to…

High Energy Physics - Phenomenology · Physics 2015-01-26 J. C. Collins

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 discuss a path toward the generalisation of the nested soft-collinear subtraction scheme to arbitrary $2\rightarrow n$ processes. The scheme is designed to provide an efficient and process-independent procedure to extract and regulate…

High Energy Physics - Phenomenology · Physics 2023-08-24 Chiara Signorile-Signorile , Davide Maria Tagliabue

In this paper we present a new derivation of the QCD factorization. We deduce the k_T- and collinear factorizations for the DIS structure functions by consecutive reductions of a more general theoretical construction. We begin by studying…

High Energy Physics - Phenomenology · Physics 2011-09-28 B. I. Ermolaev , M. Greco , S. I. Troyan

This paper proposes a standard way to represent sparse tensors. A broad theoretical framework for tensor data scattering methods used in various deep learning frameworks is established. This paper presents a theorem that is very important…

Machine Learning · Computer Science 2021-09-06 Wuming Pan

Integer factorization is a famous computational problem unknown whether being solvable in the polynomial time. With the rise of deep neural networks, it is interesting whether they can facilitate faster factorization. We present an approach…

Machine Learning · Computer Science 2023-09-12 Karlis Freivalds , Emils Ozolins , Guntis Barzdins

We examine the uncertainty of perturbative QCD factorization for hadron structure functions in deep inelastic scattering at a large value of the Bjorken variable xB. We analyze the target mass correction to the structure functions by using…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alberto Accardi , Jian-Wei Qiu