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From the properties of analyticity and unitarity it has been recently obtained an exponentiated expression for the pion form factor. In this work I show the validity of this expression comparing its order p^6 term with the one exactly…

高能物理 - 唯象学 · 物理学 2009-10-31 Francisco Guerrero

Matrix elements of Wilson-line dressed operators play a central role in the factorization of soft and collinear modes in gauge theories. When expressed using spinor helicity variables, these so-called form factors admit a classification…

高能物理 - 唯象学 · 物理学 2024-06-07 Timothy Cohen , Marc Riembau

The experimental situation with regard to measurements of the pion charge form factor is reviewed. Both existing data and planned experiments are discussed.

核实验 · 物理学 2007-05-23 H. P. Blok , G. M. Huber , D. J. Mack

The dynamical structure factor of a Coulomb crystal of ions is calculated at arbitrary temperature below the melting point taking into account multi-phonon processes in the harmonic approximation. In a strongly coupled Coulomb ion liquid,…

等离子体物理 · 物理学 2007-05-23 D. A. Baiko , A. D. Kaminker , A. Y. Potekhin , D. G. Yakovlev

Tensor time series, which is a time series consisting of tensorial observations, has become ubiquitous. It typically exhibits high dimensionality. One approach for dimension reduction is to use a factor model structure, in a form similar to…

统计方法学 · 统计学 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

We study the tiling of a two-dimensional region of the plane by $K$-cell one-dimensional tiles, or $K$-mers. Unlike previous studies, which typically allowed for one single value of $K$ or sometimes a small assortment of fixed values, here…

We discuss how to calculate form factors using a holographic model of QCD, mainly focusing on vector, axial, and pseudoscalar mesons. We illustrate the techniques on gravitational form factors (which are useful for constraining the…

高能物理 - 唯象学 · 物理学 2009-11-13 Carl E. Carlson

In a general fractional factorial design, the $n$-levels of a factor are coded by the $n$-th roots of the unity. This device allows a full generalization to mixed-level designs of the theory of the polynomial indicator function which has…

统计理论 · 数学 2007-06-13 Giovanni Pistone , Maria Piera Rogantin

We consider the problem of sparse estimation via a lasso-type penalized likelihood procedure in a factor analysis model. Typically, the model estimation is done under the assumption that the common factors are orthogonal (uncorrelated).…

统计方法学 · 统计学 2013-02-25 Kei Hirose , Michio Yamamoto

In this paper, we propose a factorization of a fourth-order harmonic tensor into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second-order covariants, for transverse isotropic and orthotropic…

数学物理 · 物理学 2019-01-01 Marc Olive , Boris Kolev , Boris Desmorat , Rodrigue Desmorat

The minimum aberration criterion has been frequently used in the selection of fractional factorial designs with nominal factors. For designs with quantitative factors, however, level permutation of factors could alter their geometrical…

统计理论 · 数学 2012-06-06 Yu Tang , Hongquan Xu , Dennis K. J. Lin

Using a modified Cahn-Hilliard-Cook theory for spinodal decomposition in a binary mixture that exhibits both diffusion and interconversion dynamics, we derive the time-dependent structure factor for concentration fluctuations. We compare…

We have started a program to compute the electromagnetic form factors of mesons. We discuss the techniques used to compute the pion form factor and present preliminary results computed with domain wall valence fermions on MILC asqtad…

The present note considers a certain family of sums indexed by the set of fixed length compositions of a given number. The sums in question cannot be realized as weighted compositions. However they can be be related to the hypergeometric…

组合数学 · 数学 2007-05-23 R. Milson

We discuss the structure of infrared singularities in on-shell QCD amplitudes with massive partons and present a general factorization formula in the limit of small parton masses. The factorization formula gives rise to an all-order…

高能物理 - 唯象学 · 物理学 2010-10-27 A. Mitov , S. Moch

A general description of proton form factors is presented, in the whole kinematical region. The existing data and selected phenomenological models are briefly discussed.

高能物理 - 唯象学 · 物理学 2012-08-07 E. Tomasi-Gustafsson

We give a construction of a self-similar tiling of the plane with any prescribed expansion coefficient $\lambda\in\C$ (satisfying the necessary algebraic condition of being a complex Perron number). For any integer $m>1$ we show that there…

度量几何 · 数学 2016-09-06 Richard Kenyon

This paper presents a set of general strategies for the analysis of structure in amorphous materials and a general approach to assessing the utility of a selected structural description. Measures of structural diversity and utility are…

软凝聚态物质 · 物理学 2020-04-10 Dan Wei , Jie Yang , Min-Qiang Jiang , Lan-Hong Dai , Yun-Jiang Wang , Jeppe Dyre , Ian Douglass , Peter Harrowell

In this paper we propose a general spectral theory for tensors. Our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors. At the same time, our factorization yields an expansion of a tensor as a…

谱理论 · 数学 2012-02-21 Edinah K. Gnang , Ahmed Elgammal , Vladimir Retakh

The pion form factor is calculated using quenched twisted mass QCD with beta=6.0 and maximal twisting angle omega=pi/2. Two pion masses and several values of momentum transfer are considered. The momentum averaging procedure of Frezzotti…

高能物理 - 格点 · 物理学 2009-11-10 Abdou M. Abdel-Rehim , Randy Lewis