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We solve a unified integral equation to obtain the $x, Q_T$ and $Q$ dependence of the gluon distribution of a proton in the small $x$ regime; where $x$ and $Q_T$ are the longitudinal momentum fraction and the transverse momentum of the…

高能物理 - 唯象学 · 物理学 2014-11-17 J. Kwiecinski , A. D. Martin , P. J. Sutton

We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge interactions. The associated evolution equations depend on the coupled $\beta$ functions of two (or more) coupling constants…

高能物理 - 唯象学 · 物理学 2020-04-22 Georgios Billis , Frank J. Tackmann , Jim Talbert

Deep inelastic scattering (DIS) total cross section data at small-x as measured by the HERA experiments is well described by Balitsky-Kovchegov (BK) evolution in the leading order dipole picture. Recently the full Next-to-Leading Order…

高能物理 - 唯象学 · 物理学 2020-08-13 G. Beuf , H. Hänninen , T. Lappi , H. Mäntysaari

The AGL equation includes all multiple pomeron exchanges in the double logarithmic approximation (DLA) limit, leading to an unitarized gluon distribution in the small x regime. This equation was originally obtained using the Glauber-Mueller…

高能物理 - 唯象学 · 物理学 2007-05-23 M. B. Gay Ducati , V. P. Gonçalves

Conformational transitions are ubiquitous in biomolecular systems, have significant functional roles and are subject to evolutionary pressures. Here we provide a first theoretical framework for topological transition, i.e. conformational…

无序系统与神经网络 · 物理学 2015-09-02 Alireza Mashaghi , Abolfazl Ramezanpour

We prove existence, uniqueness and several qualitative properties for evolution equations that combine local and nonlocal diffusion operators acting in different subdomains and coupled in such a way that the resulting evolution equation is…

偏微分方程分析 · 数学 2019-03-19 Alejandro Gárriz , Fernando Quirós , Julio D. Rossi

Jets and their substructure play a central role in many analyses at the Large Hadron Collider (LHC). To improve the precision of measurements, as well as to enable measurement of jet substructure at increasingly small angular scales,…

高能物理 - 唯象学 · 物理学 2024-02-06 Hao Chen , Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

We calculate production of quark-antiquark pairs in high energy proton-nucleus collisions both in the quasi-classical approximation of McLerran-Venugopalan model and including quantum small-$x$ evolution. The resulting production cross…

高能物理 - 唯象学 · 物理学 2009-11-11 Yuri V. Kovchegov , Kirill Tuchin

The scale of a coupling constant for rapidity-only evolution of transverse-momentum dependent (TMD) operators in the Sudakov kinematic region is calculated using the Brodsky-Lepage-Mackenzie (BLM) optimal scale setting. The effective…

高能物理 - 唯象学 · 物理学 2022-08-17 Ian Balitsky , Giovanni A. Chirilli

We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence…

高能物理 - 唯象学 · 物理学 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant $\bar{\alpha} _s$. Our approach is based on the linear resummation model introduced by Sta\'{s}to. We generalize…

高能物理 - 唯象学 · 物理学 2014-02-04 Krzysztof Kutak , Piotr Surówka

Masses of heavy Standard Model fermions (top-quark, bottom-quark, and tau-lepton) play an important role in the analysis of theories beyond the SM. They serve as low-energy input and reduce the parameter space of such theories. In this…

高能物理 - 唯象学 · 物理学 2010-05-25 A. V. Bednyakov

Using the ``Quality Factor'' (QF) method, we analyse the scaling properties of deep-inelastic processes at HERA and fixed target experiments for x<0.01. We look for scaling formulae of the form sigma(tau), where tau(log Q^2, Y) is a scaling…

高能物理 - 唯象学 · 物理学 2008-11-26 Guillaume Beuf , Robi Peschanski , Christophe Royon , David Salek

The forthcoming p+Pb run at the LHC will provide crucial in formation on the initial state effects of heavy ion collisions and on the gluon saturation phenomena. In turn, most of the saturation inspired phenomenology in heavy ion collisions…

高能物理 - 唯象学 · 物理学 2012-08-31 Paloma Quiroga-Arias , Javier L. Albacete , J. Guilherme Milhano , Juan Rojo

A key ingredient in the description of double parton distributions is their scale dependence. If the colour of each individual parton is summed over, the distributions evolve with the same DGLAP kernels as ordinary parton distributions.…

高能物理 - 唯象学 · 物理学 2023-05-24 Markus Diehl , Florian Fabry , Alexey Vladimirov

Random features (RFs) are a popular technique to scale up kernel methods in machine learning, replacing exact kernel evaluations with stochastic Monte Carlo estimates. They underpin models as diverse as efficient transformers (by…

机器学习 · 统计学 2024-10-04 Isaac Reid , Stratis Markou , Krzysztof Choromanski , Richard E. Turner , Adrian Weller

We present nonlinear (NL) and higher twist (HT) corrections to the color dipole model (CDM) bounds at low values of $x$ and $Q^{2}$ using the parameterization method. Consistency between the bounds at this region describe that a transition…

高能物理 - 唯象学 · 物理学 2021-10-12 G. R. Boroun , B. Rezaei

We construct small-$x$ evolution equations which can be used to calculate quark and anti-quark helicity TMDs and PDFs, along with the $g_1$ structure function. These evolution equations resum powers of $\alpha_s \, \ln^2 (1/x)$ in the…

高能物理 - 唯象学 · 物理学 2016-12-23 Yuri V. Kovchegov , Daniel Pitonyak , Matthew D. Sievert

We use the BLM procedure to eliminate the renormalization scale ambiguity in the evolution equation for the non-singlet deep-inelastic structure function $F_2^{\text NS}(x,Q).$ The scale of the QCD coupling in the $\overline{\text{MS}}$…

高能物理 - 唯象学 · 物理学 2009-10-28 Wing Kai Wong

Rectilinear crawling locomotion is a primitive and common mode of locomotion in slender, soft-bodied animals. It requires coordinated contractions that propagate along a body that interacts frictionally with its environment. We propose a…

生物物理 · 物理学 2021-08-31 Shruti Mishra , Wim M. van Rees , L. Mahadevan
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