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The extension of the factorization theorems of perturbative QCD to power corrections associated with re-scattering in nuclear collisions is reviewed. The importance of hadron-nucleus collisions is discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Jianwei Qiu

A $k$-nucleus of a normal rational curve in PG$(n,F)$ is the intersection over all $k$-dimensional osculating subspaces of the curve ($k\in\{-1,0,...,n-1\}$). It is well known that for characteristic zero all nuclei are empty. In case of…

Algebraic Geometry · Mathematics 2024-02-13 Johannes Gmainer , Hans Havlicek

Let $\theta$ be an inner function on the unit disk, and let $K^p_\theta:=H^p\cap\theta\overline{H^p_0}$ be the associated star-invariant subspace of the Hardy space $H^p$, with $p\ge1$. While a nontrivial function $f\in K^p_\theta$ is never…

Complex Variables · Mathematics 2017-09-14 Konstantin M. Dyakonov

It is shown that, in QCD, the same universal function $\Gamma_{cusp}(\vartheta, \alpha_\s)$ determines the infrared behaviour of the on-shell quark form factor, the velocity-dependent anomalous dimension in the heavy quark effective field…

High Energy Physics - Phenomenology · Physics 2010-11-01 G. P. Korchemsky , A. V. Radyushkin

We calculate next-to-leading-order (NLO) corrections to exclusive processes in $k_T$ factorization theorem, taking $\pi\gamma^*\to\gamma$ as an example. Partons off-shell by $k_T^2$ are considered in both the quark diagrams from full QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 Soumitra Nandi , Hsiang-nan Li

The widely used nonrelativistic QCD (NRQCD) factorization theory now encounters some notable difficulties in describing quarkonium production. This may be due to the inadequate treatment of soft hadrons emitted in the hadronization process,…

High Energy Physics - Phenomenology · Physics 2019-11-13 Yan-Qing Ma , Kuang-Ta Chao

Contrary to what has been often claimed in the literature, we clarify that the hard photon-gluon cross section $\gg_{\rm hard}(x)$ in polarized deep inelastic scattering calculated in the gauge-invariant factorization scheme does {\it not}…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hai-Yang Cheng

We propose a kernelized classification layer for deep networks. Although conventional deep networks introduce an abundance of nonlinearity for representation (feature) learning, they almost universally use a linear classifier on the learned…

Machine Learning · Computer Science 2021-03-22 Sadeep Jayasumana , Srikumar Ramalingam , Sanjiv Kumar

In this paper we prove factorization of fragmentation function in non-equilibrium QCD by using Schwinger-Keldysh closed-time path integral formalism. We use the background field method of QCD in a pure gauge in path integral approach to…

High Energy Physics - Phenomenology · Physics 2010-02-11 Gouranga C Nayak

This paper introduces a novel approach to implementing non-unitary linear transformations of basis on quantum computational platforms, a significant leap beyond the conventional unitary methods. By integrating Singular Value Decomposition…

Quantum Physics · Physics 2025-02-14 Guorui Zhu , Joel Bierman , Jianfeng Lu , Yingzhou Li

Generalized Parton Distributions (GPDs) carry information on the internal structure of hadrons such as the angular momentum of quarks and gluons, or their spacelike distribution. They can be experimentally studied in exclusive experiments…

High Energy Physics - Phenomenology · Physics 2021-08-13 Oskar Grocholski

We present an algorithm for factoring linear differential operators with coefficients in a finite separable extension of F p (x). Our methods rely on specific tools arising in positive characteristic: p-curvature, structure of simple…

Symbolic Computation · Computer Science 2022-08-25 Raphaël Pagès

We report a systematic empirical study of nanoparticle internalization into cells via non-specific pathways. The nanoparticles were comprised of commercial quantum dots (QDs) that were highly visible under a fluorescence confocal…

Biological Physics · Physics 2010-06-30 T A Kelf , V K A Sreenivasan , J Sun , E J Kim , E M Goldys , A V Zvyagin

We propose a method to analyze infrared contributions to non-inclusive processes in QCD. We use the one-loop Sudakov form factor as a working example. Borrowing techniques from renormalization theory, we construct counterterms for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. C. Collins , F. Hautmann

Infrared subtraction algorithms beyond next-to-leading order necessitate the analysis of multiple infrared limits of scattering amplitudes, where several particles sequentially become soft or collinear. In this contribution, we report on…

High Energy Physics - Phenomenology · Physics 2024-07-11 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

Single inclusive hadron production at forward rapidity in high energy p+A collisions is an important probe of the high gluon density regime of QCD and the associated small-$x$ formalism. We revisit an earlier one-loop calculation to…

High Energy Physics - Phenomenology · Physics 2014-08-13 Zhong-Bo Kang , Ivan Vitev , Hongxi Xing

In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered…

High Energy Physics - Phenomenology · Physics 2024-03-19 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

New predictions regarding the role of color flow in high energy Quantum Chromodynamics (QCD) processes have emerged in the last decade. In particular, the role of color flow is now being explored through many different observables; one such…

High Energy Physics - Experiment · Physics 2018-06-21 Joseph D. Osborn

We discuss heavy quarkonium production through parton fragmentation, including a review of arguments for the factorization of high-p_T particles into fragmentation functions for hadronic initial states. We investigate the further…

High Energy Physics - Phenomenology · Physics 2012-07-30 Gouranga C. Nayak , Jian-Wei Qiu , George Sterman

I discuss methods based on the large Nc expansion to study nonperturbative aspects of quantum chromodynamics, the theory of the strong force. I apply these methods to the analysis of weak decay processes and the nonperturbative computation…

High Energy Physics - Phenomenology · Physics 2015-06-25 William A. Bardeen
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