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Analytic approximations for the radial distribution function, the structure factor, and the equation of state of hard-core fluids in fractal dimension $d$ ($1 \leq d \leq 3$) are developed as heuristic interpolations from the knowledge of…

Soft Condensed Matter · Physics 2016-06-20 Andrés Santos , Mariano López de Haro

The hadronization of an expanding partonic fireball is studied within the Parton-Hadron-Strings Dynamics (PHSD) approach which is based on a dynamical quasiparticle model (DQPM) matched to reproduce lattice QCD results in thermodynamic…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Cassing , E. L. Bratkovskaya

If a point particle moves chaotically through a periodic array of scatterers the associated transport coefficients are typically irregular functions under variation of control parameters. For a piecewise linear two-parameter map we analyze…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , T. Klauss

This article investigates the averaging of a scalar degree of freedom that couples universally to matter. It quantifies the approximation of smoothing the matter distribution before solving the Klein--Gordon equation. In the case of Yukawa…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Jean-Philippe Uzan , Hugo Lévy

We shown the general approach for Q2 evolution of parton densities and fragmentation functions at low x based on the diagonalization. The diagonalization leads to the two components in the Q2 evolution, each of which contains a…

High Energy Physics - Phenomenology · Physics 2015-02-26 Anatoly Kotikov

The standard formulation of parton physics involves light-cone correlations of quark and gluon fields in a hadron, which leads to a widespread impression that it can only be studied through real-time Hamiltonian dynamics or light-front…

High Energy Physics - Phenomenology · Physics 2024-08-08 Xiangdong Ji

We study the transverse momentum distribution of low-mass lepton pairs produced in hadronic scattering, using the perturbative QCD factorization approach. We argue that the distribution at large transverse momentum, $Q_T \gg Q$, with the…

High Energy Physics - Phenomenology · Physics 2009-03-24 Zhong-Bo Kang , Jian-Wei Qiu , Werner Vogelsang

Quantum gravity in 4D asymptotically flat spacetimes features spontaneous symmetry breaking due to soft radiation hair, intimately tied to the proliferation of IR divergences. A holographic description via a putative 2D CFT is expected free…

High Energy Physics - Theory · Physics 2025-08-05 Alfredo Guevara , Yangrui Hu

At high values of the pair invariant mass the differential cross section for top-quark pair production at hadron colliders factorizes into soft, hard, and fragmentation functions. In this paper we calculate the next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2015-06-05 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

We complete the coordinate space calculation of the three-parton correlation in the two-loop massive soft anomalous dimension matrix. The full answer agrees with the result found previously by a different approach. The coordinate space…

High Energy Physics - Phenomenology · Physics 2010-10-22 Alexander Mitov , George Sterman , Ilmo Sung

The soft breaking of gauge or other symmetries is the typical Quantum Field Theory phenomenon. In many cases one can apply the Stuckelberg procedure, which means introducing some additional field (or fields) and restore the gauge symmetry.…

High Energy Physics - Theory · Physics 2015-05-13 G. de Berredo-Peixoto

Fragmentation functions for eta mesons are extracted at next-to-leading order accuracy of QCD in a global analysis of data taken in electron-positron annihilation and proton-proton scattering experiments. The obtained parametrization is in…

High Energy Physics - Phenomenology · Physics 2011-02-15 C. A. Aidala , F. Ellinghaus , R. Sassot , J. P. Seele , M. Stratmann

We present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic…

High Energy Physics - Phenomenology · Physics 2024-03-22 M. S. Zidi , J. Ph. Guillet , I. Schienbein , H. Zaraket

The parton distributions in the proton are evaluated dynamically using a nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the GLR-MQ-ZSR) corrections - starting from a low scale $\mu^2$, where the nucleon consists of…

High Energy Physics - Phenomenology · Physics 2014-09-11 Xurong Chen , Jianhong Ruan , Rong Wang , Pengming Zhang , Wei Zhu

The paper investigates solutions of the fractional hyperbolic diffusion equation in its most general form with two fractional derivatives of distinct orders. The solutions are given as spatial-temporal homogeneous and isotropic random…

Probability · Mathematics 2023-10-09 Nikolai Leonenko , Andriy Olenko , Jayme Vaz

The evolution of occupied volume under progressive fragmentation of granular matter is studied using a purely geometric model. Rather than modelling disorder directly, properties are investigated by analysing highly ordered reference…

Soft Condensed Matter · Physics 2026-03-25 Malkhazi A. Meladze

Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model parameters, i.e. derivative orders, in addition to model…

Numerical Analysis · Mathematics 2018-06-05 Ehsan Kharazmi , Mohsen Zayernouri

Quarkonia production in different high-energy processes has recently been proposed in order to probe gluon transverse-momentum-dependent parton distribution and fragmentation functions (TMDs in general). However, no proper factorization…

High Energy Physics - Phenomenology · Physics 2020-01-08 Miguel G. Echevarria

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

We parameterize the enhancement of threshold effects away from hadronic endpoint that arise due to the steeply falling nature of parton distribution functions, within the context of soft-collinear effective theory. This is accomplished in a…

High Energy Physics - Phenomenology · Physics 2010-12-14 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig