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We show that the quark fragmentation function $D(z)$ and the quark distribution function $q(x)$ are connected in the $z \to 1$ limit by the approximate relation $D(z)/z \simeq q(2-1/z)$, where both quantities are in their physical regions.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincenzo Barone , Alessandro Drago , Bo-Qiang Ma

The unitarity of the $S$-matrix requires that the absorptive part of the elastic scattering amplitude receives contributions from both the inelastic and the elastic channels. We explore this unitarity condition in order to describe, in a…

High Energy Physics - Phenomenology · Physics 2015-06-17 P. C. Beggio , E. G. S. Luna

The recent measurements of azimuthal single spin asymmetries by the HERMES collaboration has opened up new possibility to measure chiral-odd distribution functions through semi-inclusive deep-inelastic scatterings. Here, predictions are…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Wakamatsu

We consider the scattering of fermions off antifermions with spin 1/2 and 3/2. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to…

High Energy Physics - Phenomenology · Physics 2015-05-28 S. Stoica , M. F. M. Lutz , O. Scholten

We derive new effective field theory (EFT) positivity bounds on the elastic $2\to2$ scattering amplitudes of massive spinning particles from the standard UV properties of unitarity, causality, locality and Lorentz invariance. By bounding…

High Energy Physics - Theory · Physics 2022-03-09 Joe Davighi , Scott Melville , Tevong You

We present new functional form of pion and kaon fragmentation functions up to next-to-leading order obtained through a global fit to single-inclusive electron-positron annihilation data and also employ, the semi-inclusive deep inelastic…

High Energy Physics - Phenomenology · Physics 2019-03-08 M. Soleymaninia , A. N. Khorramian , S. M. Moosavi Nejad , F. Arbabifar

We study weighted azimuthal single spin asymmetries in hadron-hadron scattering using the diagrammatic approach at leading order and assuming factorization. The effects of the intrinsic transverse momenta of the partons are taken into…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Bacchetta , C. J. Bomhof , P. J. Mulders , F. Pijlman

The representation of quark distribution and fragmentation functions in terms of non-local operators is combined with a simple spectator model. This allows us to estimate these functions for the nucleon and the pion ensuring correct…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Jakob , P. J. Mulders , J. Rodrigues

We develop a formalism, based on spinor-helicity techniques, to generalize the formulation of partial wave unitarity bounds. We discuss unitarity bounds for $N \to M$ (with $N,M \geq 2$) scattering processes -- relevant for high-energy…

High Energy Physics - Phenomenology · Physics 2026-05-26 Luigi C. Bresciani , Gabriele Levati , Paride Paradisi

New positivity bounds are derived for generalized (off-forward) parton distributions using the impact parameter representation. These inequalities are stable under the evolution to higher normalization points. The full set of inequalities…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. V. Pobylitsa

Using a model calculation of dihadron fragmentation functions, we fit the spin asymmetry recently extracted by HERMES for the semi-inclusive pion pair production in deep-inelastic scattering on a transversely polarized proton target. By…

High Energy Physics - Phenomenology · Physics 2009-03-12 Alessandro Bacchetta , Federico A. Ceccopieri , Asmita Mukherjee , Marco Radici

HERMES has measured azimuthal single-spin asymmetries of pions and charged kaons produced in deep-inelastic scattering of electrons and positrons off a transversely polarized hydrogen target. These asymmetries provide information about the…

High Energy Physics - Experiment · Physics 2019-08-13 Achim Hillenbrand

In the heavy quark limit inclusive production rate of a heavy meson can be factorized, in which the nonperturbative effect related to the heavy meson can be characterized by matrix elements defined in the heavy quark effective theory. Using…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Ma

A model for dihadron fragmentation functions is briefly outlined, that describes the fragmentation of a quark in two unpolarized hadrons. The parameters are tuned to the output of the PYTHIA event generator for two-hadron semi-inclusive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marco Radici

The fragmentation of an unpolarized quark into a transversely polarized spin-1/2 particle is studied in the framework of a simple model. Special attention is payed to the gluon exchange which is incorporated in the gauge link of the…

High Energy Physics - Phenomenology · Physics 2009-02-19 A. Metz

The spin-dependent cross sections for semi-inclusive lepton-nucleon scattering are derived in the framework of collinear factorization, including the effects of masses of the target and produced hadron at finite momentum transfer squared…

High Energy Physics - Phenomenology · Physics 2015-10-28 J. V. Guerrero , J. J. Ethier , A. Accardi , S. W. Casper , W. Melnitchouk

I deduce an inequality between the helicity and the transversity distribution of a quark in a nucleon, at small energy scales. Then I establish, thanks to the positivity constraint, a rigorous bound on longitudinally polarized valence quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Di Salvo

Fragmentation functions of pion, kaon, and nucleon are determined by global analyses of hadron-production data in $e^+e^-$ annihilation. It is particularly important that uncertainties of the fragmentation functions are estimated for the…

High Energy Physics - Phenomenology · Physics 2007-09-25 M. Hirai , S. Kumano , T. -H. Nagai , M. Oka , K. Sudoh

Using methods of effective field theory, a systematic analysis of the fragmentation functions D_{a/H}(x,m_Q) of a hadron H containing a heavy quark Q is performed (with a=Q,Q_bar,q,q_bar,g). By integrating out pair production of virtual and…

High Energy Physics - Phenomenology · Physics 2007-06-15 Matthias Neubert

Fracture functions are parton distributions of an initial hadron in the presence of an almost collinear particle observed in the final state. They are important ingredients in QCD factorization for processes where a particle is produced…

High Energy Physics - Phenomenology · Physics 2020-01-08 X. P. Chai , K. B. Chen , J. P. Ma , X. B. Tong