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We consider a pruning of the inhomogeneous continuum random trees, as well as the cut trees that encode the genealogies of the fragmentations that come with the pruning. We propose a new approach to the reconstruction problem, which has…

概率论 · 数学 2023-02-03 Nicolas Broutin , Hui He , Minmin Wang

Evolution equations for parton distributions can be approximately diagonalized and solved in moment space without assuming any knowledge of the parton distribution in the region of small x. The evolution algorithm for truncated moments is…

高能物理 - 唯象学 · 物理学 2007-05-23 Lorenzo Magnea , Stefano Forte

We present and use a technique for implementing in a fast way, and without any approximations, higher-order calculations of partonic cross sections into global analyses of parton distribution functions. The approach, which is set up in…

高能物理 - 唯象学 · 物理学 2011-03-23 M. Stratmann , W. Vogelsang

We briefly discuss recent research on the spin-averaged parton densities of the proton, focusing on some aspects relevant to hard processes at the LHC. Specifically, after recalling the basic framework and the need for higher-order…

高能物理 - 唯象学 · 物理学 2007-07-30 Andreas Vogt

We briefly recall the main physical features of the parton distributions in the quantum statistical picture of the nucleon. Some predictions from a next-to-leading order QCD analysis are compared to recent experimental results.

高能物理 - 唯象学 · 物理学 2009-12-03 Jacques Soffer

In recent years, there has been a breakthrough in lattice calculations of $x$-dependent partonic distributions. This encompasses also distributions describing the 3D structure of the nucleon, such as generalized parton distributions (GPDs).…

We apply analytic perturbation theory to the Gross--Llewellyn Smith sum rule. We study the $Q^2$ evolution and the renormalization scheme dependence of the analytic three-loop QCD correction to this sum rule, and demonstrate that the…

高能物理 - 唯象学 · 物理学 2016-08-25 K. A. Milton , I. L. Solovtsov , O. P. Solovtsova

Relying on the polynomiality property of generalized parton distributions, which roots on Lorentz covariance, we prove that it is enough to know them at vanishing- and low-skewness within the DGLAP region to obtain a unique extension to…

高能物理 - 唯象学 · 物理学 2024-03-26 P. Dall'Olio , F. De Soto , C. Mezrag , J. M. Morgado Chávez , H. Moutarde , J. Rodríguez-Quintero , P. Sznajder , J. Segovia

We show that the saturation exponent is more effective than the hard pomeron exponent in the nonlinear terms for the GLR-MQ evolution equations. For the gluon distribution the nonlinear terms are found to play an increasingly important role…

高能物理 - 唯象学 · 物理学 2023-08-01 G. R. Boroun

We study the splitting functions for the evolution of fragmentation distributions and the coefficient functions for single-hadron production in semi-inclusive electron-positron annihilation in massless perturbative QCD for small values of…

高能物理 - 唯象学 · 物理学 2015-06-05 C. -H. Kom , A. Vogt , K. Yeats

We discuss the successes and limitations of statistical sampling for a sequence of models studied in the context of lattice QCD and emphasize the need for new methods to deal with finite-density and real-time evolution. We show that these…

高能物理 - 格点 · 物理学 2022-09-21 Yannick Meurice , Ryo Sakai , Judah Unmuth-Yockey

We derive a generalized form of Altarelli-Parisi equations to decribe the time evolution of parton distributions in a nuclear medium. In the framework of the leading logarithmic approximation, we obtain a set of coupled integro-…

高能物理 - 唯象学 · 物理学 2010-03-25 Klaus Geiger , Berndt Mueller

Skewed parton distributions contain new non-perturbative information about hadronic states. Thus, their extraction from experimental data is an important goal. Properties and models for skewed parton distributions as well as their…

高能物理 - 唯象学 · 物理学 2007-05-23 D. Müller

We present the non-forward quark matrix elements of operators with one and two covariant derivatives needed for the renormalisation of the first and second moments of generalised parton distributions in one-loop lattice perturbation theory…

高能物理 - 格点 · 物理学 2008-11-26 M. Gockeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schaefer , G. Schierholz , A. Schiller

Analysing the asymptotic behaviour of the quark-quark elastic scattering amplitude at high energy and fixed transferred momentum and assuming that gluon is reggeized, we obtain the evolution equation for the gluon Regge trajectory in QCD.…

高能物理 - 唯象学 · 物理学 2009-10-28 I. A. Korchemskaya , G. P. Korchemsky

This contribution is dedicated to the exploration of exponential operator splitting methods for the time integration of evolution equations. It entails the review of previous achievements as well as the depiction of novel results. The…

数值分析 · 数学 2024-10-18 Sergio Blanes , Fernando Casas , Cesareo Gonzalez , Mechthild Thalhammer

We construct an evolution equation for the pion wave function in the $k_T$ factorization theorem, whose solution sums the mixed logarithm $\ln x\ln k_T$ to all orders, with $x$ ($k_T$) being a parton momentum fraction (transverse momentum).…

高能物理 - 唯象学 · 物理学 2015-06-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

Generalised parton distributions are instrumental to study both the three-dimensional structure and the energy-momentum tensor of the nucleon, and motivate numerous experimental programmes involving hard exclusive measurements. Based on a…

高能物理 - 唯象学 · 物理学 2021-06-30 V. Bertone , H. Dutrieux , C. Mezrag , H. Moutarde , P. Sznajder

This paper describes the design and work of a set of computer routines capable for numerical computation of generalized parton distributions (GPDs) evolution at the leading order. The main intention of this work is to present a fast-working…

高能物理 - 唯象学 · 物理学 2007-05-23 A. V. Vinnikov

Backlund transformations are used to search for solutions, particularly soliton solutions, of non-linear differential equations. In this paper we present an invariant geometrical theory of Backlund transformations for second order evolution…

微分几何 · 数学 2007-05-23 A. K. Rybnikov