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We extend our previous results on small-x resummation in the pure Yang--Mills theory to full QCD with nf quark flavours, with a resummed two-by-two matrix of resummed quark and gluon splitting functions. We also construct the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

We study the end-to-end distribution function for dilute polymers. We present a computation to order $O(\epsilon^2)$, $\epsilon = 4 - d$, and discuss in detail its asymptotic behaviour for small and large distances. The theoretical…

High Energy Physics - Lattice · Physics 2014-11-17 Sergio Caracciolo , Maria Serena Causo , Andrea Pelissetto

We provide a semi-classical description of the inclusive gluon induced Deep Inelastic Scattering cross section in a way that accounts for the leading powers in both the Regge and Bjorken limits. Our approach thus allows a systematic…

High Energy Physics - Phenomenology · Physics 2022-04-27 Renaud Boussarie , Yacine Mehtar-Tani

The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at $\rho = \frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A…

High Energy Physics - Phenomenology · Physics 2023-06-16 Arindam Bhattacharya , Johannes K. L. Michel , Matthew D. Schwartz , Iain W. Stewart , Xiaoyuan Zhang

A brief summary is given on recent determinations of $\Lambda_{\rm QCD}$ and $\alpha_s(M_Z^2)$ from deeply inelastic structure functions.

High Energy Physics - Phenomenology · Physics 2007-06-19 Johannes Blümlein

This work develops a distributed optimization strategy with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown in Part II to have a wider stability range…

Optimization and Control · Mathematics 2017-12-05 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

We introduce a method to reconstruct the kinematics of neutral-current deep inelastic scattering (DIS) using a deep neural network (DNN). Unlike traditional methods, it exploits the full kinematic information of both the scattered electron…

High Energy Physics - Experiment · Physics 2022-01-03 Miguel Arratia , Daniel Britzger , Owen Long , Benjamin Nachman

A next-to-leading order Monte Carlo program for the calculation of heavy quark cross sections in deeply inelastic scattering is described. Concentrating on charm quark and D^*(2010) production at HERA, several distributions are presented…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. W. Harris , J. Smith

In this paper we compare the prediction for deep inelastic scattering from N=4 SYM with the HERA experimental data. The paper conveys two results. The first is the message that N=4 SYM is able to describe the DIS data with very good…

High Energy Physics - Phenomenology · Physics 2014-11-21 E. Levin , I. Potashnikova

We resum distributions that are singular at partonic threshold (the elastic limit) in heavy quark production, in terms of logarithmic behavior in moment space. The method may be applied to a variety of cross sections sensitive to the edge…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nikolaos Kidonakis , George Sterman

The precise knowledge of parton distribution functions (PDFs) is indispensable to the accurate calculation of hadron-initiated QCD hard scattering observables. Much of our information on PDFs is extracted by comparing deep inelastic…

High Energy Physics - Phenomenology · Physics 2013-10-03 David Westmark

A next-to-leading order QCD analysis of spin asymmetries and structure functions in polarized deep inelastic lepton nucleon scattering is presented within the framework of the radiative parton model. A consistent NLO formulation of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Gluck , E. Reya , M. Stratmann , W. Vogelsang

We consider deep inelastic scattering (DIS) on a nucleus described using a density expansion. In leading order, the scattering is dominated by the incoherent scattering on individual nucleons distributed using the Thomas-Fermi…

High Energy Physics - Phenomenology · Physics 2019-08-28 Kiminad A. Mamo , Ismail Zahed

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

Numerical Analysis · Mathematics 2019-09-17 Darko Volkov

We investigate the resummation of large logarithmic perturbative corrections to hadron production in electron-positron annihilation and semi-inclusive deep-inelastic scattering. We find modest, but significant, enhancements of hadron…

High Energy Physics - Phenomenology · Physics 2015-06-12 Daniele P. Anderle , Felix Ringer , Werner Vogelsang

We improve the existing calculations of deep inelastic scattering to next to next to leading order in the following manner. First, we use the recently calculated values of the anomalous dimensions for moments with index n=10,12 in ep…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Santiago , F. J. Yndurain

This study presents a comprehensive model for neutrino deep inelastic scattering (DIS) cross sections spanning energies from 50 GeV to 5$\times10^{12}$ GeV with an emphasis on applications to neutrino telescopes. We provide calculations of…

High Energy Physics - Phenomenology · Physics 2024-08-13 Philip L. R. Weigel , Janet M. Conrad , Alfonso Garcia-Soto

A global fit for $\alpha_s(m_Z)$ is performed on available $e^+e^-$ data for the heavy jet mass distribution. The state-of-the-art theory prediction includes $\mathcal{O}(\alpha_s^3)$ fixed-order results, N$^3$LL$^\prime$ dijet resummation,…

High Energy Physics - Phenomenology · Physics 2026-05-05 Miguel A. Benitez , Arindam Bhattacharya , Andre H. Hoang , Vicent Mateu , Matthew D. Schwartz , Iain W. Stewart , Xiaoyuan Zhang

Recent developments in theory and phenomenology relevant to deep inelastic lepton scattering are reviewed, concentrating on the following topics: Predicted behaviour of non-singlet and polarized structure functions at small $x$; Theoretical…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. R. Webber

This talk is a rather sceptical review of our knowledge and understanding of deep inelastic scattering at low x (high energy). We show that the well known success of the DGLAP evolution equations in describing of experimental HERA data…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eugene Levin