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I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

The removal of unphysical singularities in the perturbatively calculable part of the pion form factor--a classic example of a three-point function in QCD--is discussed. Different ``analytization'' procedures in the sense of Shirkov and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Bakulev , A. I. Karanikas , N. G. Stefanis

In the limit of large nuclear charge, $Z\gg 1$, or small lepton velocity, $\beta \ll 1$, Coulomb corrections to nuclear beta decay and related processes are enhanced as $Z\alpha/\beta$ and become large or even non-perturbative (with…

High Energy Physics - Phenomenology · Physics 2024-09-04 Richard J. Hill , Ryan Plestid

Description of hadronic reactions at high energies is conventionally done on basis of QCD factoriza- tion so that factorization convolutions involve non-perturbative inputs mimicking non-perturbative contributions and perturbative evolution…

High Energy Physics - Phenomenology · Physics 2017-02-23 B. I. Ermolaev , S. I. Troyan

We provide a new geometric representation of a family of fragmentation processes by nested laminations, which are compact subsets of the unit disk made of noncrossing chords. We specifically consider a fragmentation obtained by cutting a…

Probability · Mathematics 2020-01-20 Paul Thévenin

It was recently proven that, in contrast to their matrix analogues, the moments of a real Gaussian tensor of size N do not in general factorize over their connected components in the asymptotic large N limit. While the original proof of…

Mathematical Physics · Physics 2026-05-13 Sylvain Carrozza , Johann Chevrier , Luca Lionni

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

In analogy with parton distribution functions, also parton fragmentation functions obey matching conditions when crossing heavy-flavour thresholds. We compute these matching conditions at next-to-leading order in the strong coupling…

High Energy Physics - Phenomenology · Physics 2010-02-03 Matteo Cacciari , Paolo Nason , Carlo Oleari

We study processes with unstable particles in intermediate time-like states. It is shown that the amplitudes squared of such processes factor exactly in the framework of the model of unstable particles with continuous masses. Decay widths…

High Energy Physics - Phenomenology · Physics 2013-03-22 V. Kuksa , N. Volchanskiy

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

Machine learning is rapidly making its path into natural sciences, including high-energy physics. We present the first study that infers, directly from experimental data, a functional form of fragmentation functions. The latter represent a…

High Energy Physics - Phenomenology · Physics 2025-01-14 Nour Makke , Sanjay Chawla

Using Soft-Collinear Effective Theory we derive factorization formulae for semi-inclusive processes where a light hadron h fragments from a jet whose invariant mass is measured. Our analysis yields a novel "fragmenting jet function"…

High Energy Physics - Phenomenology · Physics 2011-06-15 Massimiliano Procura , Iain W. Stewart

It is well known that quantum-mechanical perturbation theory often give rise to divergent series that require proper resummation. Here I discuss simple ways in which these divergences can be avoided in the first place. Using the elementary…

Quantum Physics · Physics 2022-12-19 Matteo Smerlak

Fracture functions, originally suggested to describe the production of diffractive and leading hadrons in semi-inclusive DIS, may be also applied at fixed target energies. They may also include interference and final state interaction,…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

We show that perturbation theory provides two distinct mechanisms for the power like growth of hadronic cross sections at high energy. One, the leading BFKL effect is due to the growth of the parton density, and is characterized by the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alex Kovner , Urs Achim Wiedemann

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

We develop a new formalism to study nonlinear evolution in the growth of large-scale structure, by following the dynamics of gravitational clustering as it builds up in time. This approach is conveniently represented by Feynman diagrams…

Astrophysics · Physics 2009-11-13 M. Crocce , R. Scoccimarro

We briefly summarize some recent theoretical developments in perturbative QCD, emphasizing new ideas which have led to widening the domain of applicability of perturbation theory. In particular, it is now possible to calculate efficiently…

High Energy Physics - Phenomenology · Physics 2009-10-30 Stefano Forte

Non-linear effects in hadronic interactions are treated by means of enhanced pomeron diagrams, assuming that pomeron-pomeron coupling is dominated by soft partonic processes. It is shown that the approach allows to resolve a seeming…

High Energy Physics - Phenomenology · Physics 2011-07-19 S. Ostapchenko

In certain situations, such as one-particle inclusive processes, it is possible to model the hadronization through Fragmentation Functions (FFs), which are universal non-perturbative functions extracted from experimental data through…

High Energy Physics - Phenomenology · Physics 2023-05-17 Salvador A. Ochoa-Oregon , David F. Rentería-Estrada , Roger J. Hernández-Pinto , German F. R. Sborlini