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We show that the difference cross sections in unpolarized SIDIS e+N\to e+h+X and pp hadron production p+p\to h+X determine independently in a model independent way, in any order in QCD, the two FFs: D_u^{h-\bar h} and D_d^{h-\bar h},…

High Energy Physics - Phenomenology · Physics 2009-02-26 Ekaterina Christova , Elliot Leader

We show that the difference cross sections in unpolarized SIDIS e+N\to e+h+X and pp hadron production p+p\to h+X determine, uniquely and in any order in QCD, the two FFs: D_u^{h-\bar h} and D_d^{h-\bar h}, h=\pi^\pm, K^\pm. If both K^\pm…

High Energy Physics - Phenomenology · Physics 2010-01-19 Ekaternia Christova , Elliot Leader , Simon Albino

Fitting $Z^0$-pole data from ALEPH and SLD, and TPC data at a lower c.m.s.\ energy, we fix the boundary condition for NLO parton$\to$hadron (hadron$=\pi^\pm, K^\pm, \sum_h h^\pm$) fragmentation functions (FFs) at the low resolution scale of…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Kretzer

In this paper, we present ${\tt SGK18}$ FFs, a first global QCD analysis of parton-to-{\it unidentified} charged hadrons fragmentation functions (FFs) at next-to-next-to-leading order (NNLO) accuracy in perturbative QCD. This analysis is…

High Energy Physics - Phenomenology · Physics 2018-10-04 Maryam Soleymaninia , Muhammad Goharipour , Hamzeh Khanpour

Quarkonium production in hadron collisions at low transverse momentum $q_\perp \ll M$ with $M$ as the quarkonium mass can be used for probing transverse momentum dependent (TMD) gluon distributions. For this purpose, one needs to establish…

High Energy Physics - Phenomenology · Physics 2013-08-13 J. P. Ma , J. X. Wang , S. Zhao

I review a few selected topics concerning heavy-quark fragmentation, taking particular care about bottom- and charm-quark production in $e^+e^-$ annihilation and the inclusion of non-perturbative corrections. In particular, I discuss recent…

High Energy Physics - Phenomenology · Physics 2022-10-06 Gennaro Corcella

Dihadron fragmentation functions and their evolution are studied in the process of $e^+e^-$ annihilation. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two hadron inclusive cross section at…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Majumder , Xin-Nian Wang

Inclusive production of a quarkonium $\eta_{c,b}$ in hadron collisions at low transverse momentum can be used to extract various Transverse-Momentum-Dependent(TMD) gluon distributions of hadrons, provided the TMD factorization for the…

High Energy Physics - Phenomenology · Physics 2016-02-03 J. P. Ma , C. Wang

We apply collinear expansion to inclusive hadron production in $e^+e^-$ annihilation and derive a formalism suitable for systematic study of leading as well as higher twist contributions to fragmentation functions at the tree level. We make…

High Energy Physics - Phenomenology · Physics 2014-02-05 Shu-yi Wei , Yu-kun Song , Zuo-tang Liang

We introduce the transverse momentum dependent fragmenting jet function (TMDFJF), which appears in factorization theorems for cross sections for jets with an identified hadron. These are functions of $z$, the hadron's longitudinal momentum…

High Energy Physics - Phenomenology · Physics 2017-06-09 Reggie Bain , Yiannis Makris , Thomas Mehen

We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and…

High Energy Physics - Phenomenology · Physics 2021-07-21 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

Fragmentation functions (FFs) are essential non-perturbative QCD inputs for predicting hadron production cross sections in high energy scatterings. In this study, we present a joint determination of FFs for light charged hadrons through a…

High Energy Physics - Phenomenology · Physics 2024-12-20 Jun Gao , ChongYang Liu , XiaoMin Shen , Hongxi Xing , Yuxiang Zhao

The concepts and methods of factorization using transverse-momentum-dependent (TMD) parton densities and/or fragmentation functions are summarized.

High Energy Physics - Phenomenology · Physics 2015-06-16 John Collins

We make several comments on the recent work in Ref.~\cite{Rogers:2024nhb} while also reaffirming and adding to the work in Ref.~\cite{Pitonyak:2023gjx}. We show that the factorization formula for $e^+e^-\to (h_1\cdots h_n)\, X$ in…

High Energy Physics - Phenomenology · Physics 2025-08-06 D. Pitonyak , C. Cocuzza , A. Metz , A. Prokudin , N. Sato

It has by now been established that standard QCD factorization using transverse momentum dependent parton distribution functions fails in hadro-production of nearly back-to-back hadrons with high transverse momentum. The essential problem…

High Energy Physics - Phenomenology · Physics 2010-05-19 Ted C. Rogers , Piet J. Mulders

A detailed investigation of the theoretical ambiguities present in the QCD description of photon production in $e^+e^-$ annihilation is given. It is pointed out that in a well-defined perturbative analysis it is necessary to subtract the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Zoltan Kunszt , Zoltán Trócsányi

Extending the transverse momentum dependent factorization to thrust dependent observables entails a series of difficulties, ultimately associated to the behavior of soft radiation. As a consequence, the definition of the transverse momentum…

High Energy Physics - Phenomenology · Physics 2023-06-06 M. Boglione , A. Simonelli

The production of identified hadrons inside jets in $e^+ e^-$ annihilation allows for detailed studies of parton-to-hadron fragmentation functions in a clean environment. We compute hadron-in-jets production cross sections for $e^+e^- \to…

High Energy Physics - Phenomenology · Physics 2026-05-27 Leonardo Bonino , Aude Gehrmann-De Ridder , Thomas Gehrmann , Alexander Huss , Francesco Merlotti , Giovanni Stagnitto

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

We propose a novel method for extracting non-singlet (NS) fragmentation functions (FFs) of light charged hadrons from charge asymmetries measured in hadron fragmentation, using data from both single-inclusive electron-positron annihilation…

High Energy Physics - Phenomenology · Physics 2026-04-06 Jun Gao , ChongYang Liu , Bin Zhou