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We calculate the fragmentation function for a light quark to decay into a lepton pair to leading order in the QCD coupling constant. In the formal definition of the fragmentation function, a QED phase must be included in the eikonal factor…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eric Braaten , Jungil Lee

We show that both the k_T- and collinear factorization for the DIS structure functions can be obtained by consecutive reductions of the Compton scattering amplitude. Each of these reductions is an approximation valid under certain…

High Energy Physics - Phenomenology · Physics 2011-11-03 B. I. Ermolaev , M. Greco , S. I. Troyan

We use a recently completed O(alpha_s^2) fixed-order calculation of the heavy-flavour production cross section in e+e- collisions to compute the heavy-quark fragmentation function. We fit the result of our calculation, convoluted with a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Paolo Nason , Carlo Oleari

We summarize recent results obtained thanks to the phenomenology of Dihadron Fragmentation Functions. The results include the update on the fitting techniques for both the Dihadron Fragmentation Functions themselves and the transversity…

High Energy Physics - Phenomenology · Physics 2015-07-06 A. Courtoy

The dominant mechanism to produce hadronic bound states with large transverse momentum is fragmentation, that is the splitting of a high energy parton into a hadronic state and other partons. We review the present schemes to calculate the…

High Energy Physics - Phenomenology · Physics 2016-10-19 Seyed Mohammad Moosavi Nejad , Aida Armat

The electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron have recently been computed at the next-to-leading logarithmic accuracy in QED, by adopting the $\overline{\rm MS}$ factorisation scheme. We…

High Energy Physics - Phenomenology · Physics 2021-12-22 Stefano Frixione

We derived the conditions on certain combinations of integrals of the fragmentation functions of pion using HERMES data of the sum for the charged pion multiplicities from semi-inclusive deep-inelastic scattering (SIDIS) off the deuteron…

High Energy Physics - Phenomenology · Physics 2016-03-23 Dong-Jing Yang , Fu-Jiun Jiang , Wen-Chen Chang , Chung-Wen Kao , Seung-il Nam

A new formalism for the factorization of the cross section for single hadron production in $e^+e^-$ annihilations, differential in $z_h$, $P_T$ and thrust, is applied to the phenomenological analysis of data recently measured by the BELLE…

High Energy Physics - Phenomenology · Physics 2022-11-09 M. Boglione , J. O. Gonzalez-Hernandez , A. Simonelli

This paper introduces a new generalized superfactorial function (referable to as $n^{th}$- degree superfactorial: $sf^{(n)}(x)$) and a generalized hyperfactorial function (referable to as $n^{th}$- degree hyperfactorial: $H^{(n)}(x)$), and…

Number Theory · Mathematics 2020-12-03 Vignesh Raman

I explain the current status of parton-distribution-function (PDF) studies and future experimental prospects on their determinations. First, unpolarized PDFs of the nucleon are introduced as a field of precision QCD physics including…

High Energy Physics - Phenomenology · Physics 2018-09-17 S. Kumano

We present new sets of nonperturbative fragmentation functions for D^*+- mesons, both at leading and next-to-leading order in the MS-bar factorization scheme with five massless quark flavors. They are determined by fitting the latest OPAL…

High Energy Physics - Phenomenology · Physics 2011-01-25 J. Binnewies , B. A. Kniehl , G. Kramer

We present a factorization framework that takes into account the production of heavy quarks through gluon splitting in the thrust distribution for e+ e- --> hadrons. The explicit factorization theorems and some numerical results are…

High Energy Physics - Phenomenology · Physics 2014-12-23 Andre H. Hoang , Vicent Mateu , Piotr Pietrulewicz

The Collins fragmentation function describes a left/right asymmetry in the fragmentation of a transversely polarized quark into a hadron in a jet. Four different model calculations of the Collins function have been presented in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Daniela Amrath , Alessandro Bacchetta , Andreas Metz

Recent BELLE measurements provide the cross section for single hadron production in $e^+e^-$ annihilations, differential in thrust and in the hadron transverse momentum with respect to the thrust axis. Universality breaking effects due to…

High Energy Physics - Phenomenology · Physics 2021-02-24 M. Boglione , A. Simonelli

We present a factorization formula for the inclusive production of the Higgs boson at large transverse momentum $P_T$ that includes all terms with the leading power of $1/P_T^2$. The cross section is factorized into convolutions of parton…

High Energy Physics - Phenomenology · Physics 2016-03-30 Eric Braaten , Hong Zhang

We study the production of isolated photons in $e^+e^-$ annihilation and give the proof of the all-order factorization of the collinear singularities. These singularities are absorbed in the standard fragmentation functions of partons into…

High Energy Physics - Phenomenology · Physics 2011-08-11 S. Catani , M. Fontannaz , E. Pilon

We derive the twist-3 gluon fragmentation function (FF) contribution to the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, $ep\to e\Lambda^\uparrow X$, in the leading order (LO) with respect to the…

High Energy Physics - Phenomenology · Physics 2022-06-08 Riku Ikarashi , Yuji Koike , Kenta Yabe , Shinsuke Yoshida

In this paper, we compute the relativistic corrections to the fragmentation functions (FFs) of a heavy quark to $B_c$ and $B_c^*$ within the framework of non-relativistic QCD (NRQCD) factorization. The non-singlet and singlet DGLAP…

High Energy Physics - Phenomenology · Physics 2019-09-04 Deshan Yang , Wenjie Zhang

We define triangulated factorization systems on triangulated categories, and prove that a suitable subclass thereof (the normal triangulated torsion theories) corresponds bijectively to $t$-structures on the same category. This result is…

Category Theory · Mathematics 2018-02-13 Fosco Loregian , Simone Virili

In the article integer divisibility properties and related prime factors natural number representation concepts have been defined over the whole infinite hyperoperation hierarchy. The definitions have been made across and above of unique…

Number Theory · Mathematics 2020-11-17 V. Sh. Tlyusten , V. B. Tlyachev
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