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Rational transformations of polynomials are extensively studied in the context of finite fields, especially for the construction of irreducible polynomials. In this paper, we consider the factorization of rational transformations with…

数论 · 数学 2023-09-06 Max Schulz

The combination of transverse momentum and polarization effects in hard scattering processes, e.g polarized deep-inelastic leptoproduction, results in a rich variety of information on the hadronic structure. This information is encoded in a…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Jakob , P. J. Mulders

We examine the contributions to rare processes that arise in models where the Standard Model fermions are localized at distinct points in compact extra dimensions. Tree-level flavor changing neutral current interactions for the Kaluza-Klein…

高能物理 - 唯象学 · 物理学 2009-11-10 Ben Lillie , JoAnne Hewett

The Berger model of perturbative fragmentation of quarks to pions is improved by providing an absolute normalization and keeping all terms in a (1-z) expansion, which makes the calculation valid at all values of fractional pion momentum z.…

高能物理 - 唯象学 · 物理学 2008-11-26 B. Z. Kopeliovich , H. -J. Pirner , I. K. Potashnikova , Ivan Schmidt , A. V. Tarasov

Quark-hadron duality is studied in a systematic way for both the unpolarized and polarized structure functions, by taking into account all the available data in the resonance region.In both cases, a detailed perturbative QCD based analysis…

高能物理 - 唯象学 · 物理学 2009-11-11 A. Fantoni , N. Bianchi , S. Liuti

This is one of the two papers where the optimized perturbation theory was first formulated. The other paper is published in Theor. Math. Phys. 28, 652--660 (1976). The main idea of the theory is to reorganize the perturbative sequence by…

统计力学 · 物理学 2019-01-29 V. I. Yukalov

We apply our systematic NLO small x resummation of singlet splitting functions to the scaling violations of structure functions and compare the results with data. We develop various theoretical tools which are needed in order to relate…

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

We discuss the evolution of F_2^p at small x, emphasizing the uncertainties related to expansion, fitting, renormalization and factorization scheme dependence. We find that perturbative extrapolation from the measured region down to smaller…

高能物理 - 唯象学 · 物理学 2007-05-23 R. D. Ball , S. Forte

Hard scattering processes involving hadrons at small $x$ are described by a $k_T$-factorization formula driven by a BFKL gluon. We explore the equivalence of this description to a collinear-factorization approach in which the anomalous…

高能物理 - 唯象学 · 物理学 2016-09-01 J. Kwiecinski , A. D. Martin

Qualitative causal relationships compactly express the direction, dependency, temporal constraints, and monotonicity constraints of discrete or continuous interactions in the world. In everyday or academic language, we may express…

机器学习 · 计算机科学 2021-08-31 Scott E. Friedman , Ian H. Magnusson , Sonja M. Schmer-Galunder

The structure of the nonperturbative vector meson vertex function complicates the proof of the factorisation theorem for the reaction $\gamma^*p\to Vp$. It leads to additional contributions but, in a simple model for the vertex function,…

高能物理 - 唯象学 · 物理学 2009-02-20 A Hebecker , P V Landshoff

A leading-twist factorization formula is derived for the longitudinal structure function in the x -->1 limit of deeply inelastic scattering. This is achieved by defining a new jet function which is gauge independent and probes the…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Akhoury , M. G. Sotiropoulos

The form factors of the light pseudoscalar mesons are investigated in a dispersive formalism based on hadronic unitarity, analyticity and the OPE expansion of the QCD Green functions. We propose generalizations of the original mathematical…

高能物理 - 唯象学 · 物理学 2011-09-13 Irinel Caprini

We describe diffractive hard processes in the framework of QCD factorization and discuss what one can learn from the study of hadronic systems with small transverse size.

高能物理 - 唯象学 · 物理学 2007-05-23 F. Hautmann , Z. Kunszt , D. E. Soper

We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) $L_p$-spaces to one another in terms of corresponding estimates for the respective generators and of estimates for…

泛函分析 · 数学 2016-06-28 Christian Seifert , Marcus Waurick

The polarization of $\Lambda_b$ baryon has been measured in ALEPH, OPAL and DELPHI experiments. A significant loss on the transfer of the $b$ quark polarization to the $\Lambda_b$ baryon polarization has been noticed. This implies that the…

高能物理 - 唯象学 · 物理学 2011-01-25 Tsung-Wen Yeh

The world-line representation of quantum field theory is a powerful framework for the computation of perturbative multi-leg Feynman amplitudes. In particular, in gauge theories, it provides an efficient way, via point particle Grassmann…

高能物理 - 唯象学 · 物理学 2019-09-18 Andrey Tarasov , Raju Venugopalan

We consider a class of real numbers, a subset of irrational numbers and certain mathematical constants, for which the elements in the simple continued fraction appears to be random. As an illustrative example, one can consider $\pi = \{x_0,…

统计力学 · 物理学 2020-02-19 Avinash Chand Yadav

Fixed-order perturbative calculations for differential cross sections can suffer from non-physical artifacts: they can be non-positive, non-normalizable, and non-finite, none of which occur in experimental measurements. We propose a…

高能物理 - 唯象学 · 物理学 2025-12-19 Rikab Gambhir , Radha Mastandrea

We introduce a kind of "perturbation" for the Li-Keiper coefficients around the Koebe function (the K function) and establish a closed system of Equations for the Li-Keiper coefficients. We then check the correctness of some of the many…

综合数学 · 数学 2019-07-04 Danilo Merlini , Massimo Sala , Nicoletta Sala