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We show in detail that the $k_T$-factorization for exclusive processes is gauge-dependent and inconsistent.

高能物理 - 唯象学 · 物理学 2011-06-15 F. Feng , J. P. Ma , Q. Wang

In this paper we present a new derivation of the QCD factorization. We deduce the k_T- and collinear factorizations for the DIS structure functions by consecutive reductions of a more general theoretical construction. We begin by studying…

高能物理 - 唯象学 · 物理学 2011-09-28 B. I. Ermolaev , M. Greco , S. I. Troyan

Deep inelastic scattering of leptons from hadrons at small values of the Bjorken parameter $x$ is studied from superstring theory. In particular, we focus on single-flavored scalar and vector mesons in the large $N$ limit. This is studied…

高能物理 - 理论 · 物理学 2015-05-20 Ezequiel Koile , Nicolas Kovensky , Martin Schvellinger

In Causal Perturbation Theory the process of renormalization is precisely equivalent to the extension of time ordered distributions to coincident points. This is achieved by a modified Taylor subtraction on the corresponding test functions.…

高能物理 - 理论 · 物理学 2009-09-25 Dirk Prange

Results of perturbation theory in quantum field theory generally depend on the renormalization scheme that is in use. In particular, they depend on the scale. We try to make perturbation theory scheme invariant by re-expanding with respect…

高能物理 - 唯象学 · 物理学 2009-11-10 Chris Dams , Ronald Kleiss

We show that the factorization assumption in color-suppressed $B$ meson decays is not ruled out by experimental data on $B \ra K(K^*) + J/\Psi(\Psi^{'})$. The problem previously pointed out might be due to an inadequate choice of hadronic…

高能物理 - 唯象学 · 物理学 2016-09-01 M. Gourdin , Y. Y. Keum , X. Y. Pham

In this thesis we explore a diverse array of issues that strike at the inherently nonperturbative structure of hadrons at momenta below the QCD confinement scale. In so doing, we mainly seek a better control over the partonic substructure…

高能物理 - 唯象学 · 物理学 2014-08-26 T. J. Hobbs

We consider the QCD factorization of DIS structure functions at small x and amplitudes of 2->2 -hadronic forward scattering at high energy. We show that both collinear and k_T-factorization for these processes can be obtained approximately…

高能物理 - 唯象学 · 物理学 2015-06-03 B. I. Ermolaev , M. Greco , S. I. Troyan

This paper introduces a $K$-function for assessing second-order properties of inhomogeneous random measures generated by marked point processes. The marks can be geometric objects like fibers or sets of positive volume, and the presented…

统计方法学 · 统计学 2021-11-11 Anne Marie Svane , Hans Jacob Teglbjærg Stephensen , Rasmus Waagepetersen

Many graph problems were first shown to be fixed-parameter tractable using the results of Robertson and Seymour on graph minors. We show that the combination of finite, computable, obstruction sets and efficient order tests is not just one…

计算复杂性 · 计算机科学 2013-05-15 Michael R. Fellows , Bart M. P. Jansen

We study perturbations of Feller generators under `lower order terms' with measurable coefficients. We investigate which properties of the original semigroup -- such as positivity, conservativeness and the Feller property -- are passed to…

概率论 · 数学 2021-08-06 Franziska Kühn , Markus Kunze

With view to applications in stochastic analysis and geometry, we introduce a new correspondence for positive definite kernels (p.d.) $K$ and their associated reproducing kernel Hilbert spaces. With this we establish two kinds of…

泛函分析 · 数学 2019-11-28 Palle Jorgensen , Feng Tian

We introduce the notion of $k$-regular factorizations for contractions into $k$ factors, generalizing the classical notion of regular factorization due to Sz.-Nagy and Foia\c{s}, and develop a systematic framework for their analysis. Using…

算子代数 · 数学 2026-05-28 Kalpesh J. Haria , Aashish Kumar Maurya

With many pretreatment covariates and treatment factors, the classical factorial experiment often fails to balance covariates across multiple factorial effects simultaneously. Therefore, it is intuitive to restrict the randomization of the…

统计理论 · 数学 2018-12-31 Xinran Li , Peng Ding , Donald B. Rubin

We review the analysis of polarized structure function data using perturbative QCD at next-to-leading order. We use the most recent experimental data to obtain updated results for polarized parton distributions, first moments and the strong…

高能物理 - 唯象学 · 物理学 2009-07-09 G. Altarelli , R. D. Ball , S. Forte , G. Ridolfi

By expanding functions of parton fragmentation into a heavy hadron in the inverse of the heavy quark mass $m_Q$ we attempt to factorize them into perturbative- and nonperturbative parts. In our approach the nonperturbative parts can be…

高能物理 - 唯象学 · 物理学 2011-01-25 J. P. Ma

I review recent theoretical progress in the resummation of small x contributions to the evolution of parton distributions, in view of its potential significance for accurate phenomenology at future colliders. I show that a consistent…

高能物理 - 唯象学 · 物理学 2016-09-06 Stefano Forte

The soft-collinear effective theory has been recently applied to prove novel factorization theorems for many B decays. We describe here in some detail the factorization relation for color-supressed nonleptonic B -> D(*)0 pi0 decays and…

高能物理 - 唯象学 · 物理学 2017-08-23 Dan Pirjol

Calculations of high-energy processes involving the production of a large number of particles in weakly-coupled quantum field theories have previously signaled the need for novel non-perturbative behavior or even new physical phenomena. In…

高能物理 - 唯象学 · 物理学 2022-04-13 Sebastian Schenk

Recent works have discussed the violation of factorization and universality in hadronic hard scattering processes aimed at measurements of T-odd distributions. We use simple arguments to show that it is possible to restore an approximate…

高能物理 - 唯象学 · 物理学 2007-09-10 Andrea Bianconi