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The dominant production mechanism for heavy quark-antiquark bound states in very high energy processes is fragmentation, the splitting of a high energy parton into a quarkonium state and other partons. We show that the fragmentation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Eric Braaten , Tzu Chiang Yuan

In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from functional calculus and real-variable harmonic analysis. We give a brief description of these…

Differential Geometry · Mathematics 2019-09-18 Lashi Bandara

The combination of collinear factorization with effective field theory originally developed for soft interactions of heavy quarks provides the foundations of the theory of exclusive and semi-inclusive B decays. In this article I summarize…

High Energy Physics - Phenomenology · Physics 2015-01-30 M. Beneke

Using perturbative Quantum Chromodynamics, we compute dihadron fragmentation functions for a large invariant mass of the dihadron pair. The main focus is on the interference fragmentation function $H_1^{\open}$, which plays an important…

High Energy Physics - Phenomenology · Physics 2011-05-09 Jian Zhou , Andreas Metz

We investigate the properties of interference fragmentation functions measurable from the distribution of two hadrons produced in the same jet in the current fragmentation region of a hard process. We discuss the azimuthal angular…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bianconi , S. Boffi , R. Jakob , M. Radici

The dispersive approach to QCD and its applications to inclusive tau lepton hadronic decay and hadronic vacuum polarization function are briefly discussed.

High Energy Physics - Phenomenology · Physics 2015-09-02 A. V. Nesterenko

We review the basic aspects of the perturbative QCD based on the operator product expansion to analyze the nucleon structure functions in a pedagogical way. We explain the non-trivial relation between the QCD results and the parton model…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kodaira

Experimental results on hadronic soft and hard diffractive processes are reviewed with emphasis on aspects of the data that point to the underlying QCD mechanism for diffraction. Diffractive differential cross sections are shown to be…

High Energy Physics - Phenomenology · Physics 2009-09-29 Konstantin Goulianos

Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and quarks and gluons within it. We propose to extract PDFs from QCD global analysis of "data" generated by lattice QCD…

High Energy Physics - Phenomenology · Physics 2018-10-24 Yan-Qing Ma , Jian-Wei Qiu

We discuss the non-perturbative and the radiative corrections to inclusive B decays from the point of view known from QED corrections to high energy e^+ e^- processes. Here the leading contributions can be implemented through the so called…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Mannel , Stefan Recksiegel

A QCD factorization formalism was recently proposed for evaluating heavy quarkonium production at large $p_T$ at collider energies. With systematically calculated short-distance partonic hard parts and evolution kernels of fragmentation…

High Energy Physics - Phenomenology · Physics 2014-06-11 Yan-Qing Ma , Jian-Wei Qiu , Hong Zhang

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

We examine the physics content of fragmentation functions for inclusive hadron production in a quark jet and argue that it can be calculated in low energy effective theories. As an example, we present a calculation of $u$-quark…

High Energy Physics - Phenomenology · Physics 2009-09-25 Xiangdong Ji , Zheng-Kun Zhu

Motivated by the need to correct the potentially large kinematic errors in approximations used in the standard formulation of perturbative QCD, we reformulate deeply inelastic lepton-proton scattering in terms of gauge invariant, universal…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. C. Collins , T. C. Rogers , A. M. Staśto

We present a determination of fragmentation functions (FFs) for the octet baryon $\Xi ^-/\bar{\Xi}^+$ from data for single inclusive electron-positron annihilation. Our parametrization in this QCD analysis is provided in terms of a Neural…

High Energy Physics - Phenomenology · Physics 2022-11-01 Maryam Soleymaninia , Hadi Hashamipour , Hamzeh Khanpour , Hubert Spiesberger

This paper discusses some topics of enquiry concerning fractals, functions on them, and so on.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

The description of the polarized quark hadronization process is one of the most challenging problems in the physics of strong interactions. The various single hadron and dihadron fragmentation functions, that quantify this process, are…

High Energy Physics - Phenomenology · Physics 2019-07-22 Aram Kotzinian , Hrayr H. Matevosyan , Anthony W. Thomas

We present a method to compute, by numerical simulations of lattice QCD, the inclusive semileptonic differential decay rates of heavy hadrons and the structure functions which occur in deep inelastic scattering. The method is based on first…

High Energy Physics - Phenomenology · Physics 2009-10-31 U. Aglietti , M. Ciuchini , G. Corbo' , E. Franco , G. Martinelli , L. Silvestrini

Results on soft and hard diffraction are briefly reviewed and placed in a QCD perspective using a parton model approach. Issues addressed include factorization, scaling properties, universality of rapidity gap formation, and unitarity.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Konstantin Goulianos

By expanding functions of parton fragmentation into a heavy hadron in the inverse of the heavy quark mass $m_Q$ we attempt to factorize them into perturbative- and nonperturbative parts. In our approach the nonperturbative parts can be…

High Energy Physics - Phenomenology · Physics 2011-01-25 J. P. Ma