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The factor analysis model is a statistical model where a certain number of hidden random variables, called factors, affect linearly the behaviour of another set of observed random variables, with additional random noise. The main assumption…

Statistics Theory · Mathematics 2023-12-06 Muhammad Ardiyansyah , Luca Sodomaco

Many known models, which generally use a factorization hypothesis, give a poor account of the decays B into J/psi + K(*). Usually there is a free overall factor, which is fit to the data, so that tests of the models rely upon ratios. The…

High Energy Physics - Phenomenology · Physics 2009-09-25 Carl E. Carlson , J. Milana

We calculate the effects of next-to-leading order perturbative QCD as well as of the quark transverse motion and off-shellness on the Drell-Yan process cross section. By studying the s->infinity behaviour of the cross section in these…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. Linnyk , S. Leupold , U. Mosel

The Drell-Yan $K$-factors for transversely polarised hadrons are examined. Since transverse spin is peculiar in having no DIS reference point, the effects of higher-order corrections on DY asymmetries are examined via a DIS definition for…

High Energy Physics - Phenomenology · Physics 2017-08-23 Philip G. Ratcliffe

We analyze two consequences of the relationship between collinear factorization and $k_t$-factorization. First, we show that the $k_t$-factorization gives a fundamental justification for the choice of the hard scale $Q^2$ done in the…

High Energy Physics - Phenomenology · Physics 2018-07-30 Benjamin Guiot

I shall present a rather pedagogical discussion of the transversity distributions in the quark-parton model and, in particular, the role of perturbative QCD corrections. Among the topics I shall discuss are: LO and NLO evolution, the Soffer…

High Energy Physics - Phenomenology · Physics 2008-11-26 Philip G. Ratcliffe

The question of the K factor in transversely polarised Drell-Yan (DY) processes is examined. The transverse-spin case is peculiar for the absence of a reference point in deeply inelastic scattering (DIS). Therefore, in order to study more…

High Energy Physics - Phenomenology · Physics 2011-09-13 Philip G. Ratcliffe

In a previous paper I gave a presentation for the Quillen higher algebraic K-groups of an exact category in terms of "acyclic binary multicomplexes". In this paper I take that presentation as a definition of the higher K-groups, generalize…

K-Theory and Homology · Mathematics 2016-02-17 Daniel R. Grayson

This article will prove a theorem for the existence of k-factor for k>1 ,and present an efficient algorithm for computing k-factor for all values of k based on this theorem.

Combinatorics · Mathematics 2022-09-27 Yingtai Xie

We further analyse,at next-to-leading log(s) level,the form of k-factorization and the definition of impact factors previously proposed by one of us,and we generalize them to the case of hard colourless probes. We then calculate the finite…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciafaloni , D. Colferai

In this paper, we discuss the definition of Q factor for nonlinear oscillators. While available definitions of Q are often limited to linear resonators or oscillators with specific topologies, our definition is applicable to any oscillator…

Signal Processing · Electrical Eng. & Systems 2017-10-06 Tianshi Wang , Jaijeet Roychowdhury

Effects from a finite top quark mass on differential distributions in the Higgs+jet production cross section through gluon fusion are studied at next-to-leading order in the strong coupling, i.e. $O(\alpha_s^4)$. Terms formally subleading…

High Energy Physics - Phenomenology · Physics 2013-08-13 Robert V. Harlander , Tobias Neumann , Kemal J. Ozeren , Marius Wiesemann

The objective of this research paper is to study the relationship between a block of a finite group and a defect group of such block. We define a new notion which is called a strongly $k(D)$-block and give a necessary and sufficient…

Representation Theory · Mathematics 2014-09-25 Ahmad Alghamdi

A typical system of k difference (or differential) equations can be compressed, or folded into a difference (or ordinary differential) equation of order k. Such foldings appear in control theory as the canonical forms of the controllability…

Dynamical Systems · Mathematics 2014-03-18 H. Sedaghat

The purpose of this note is to give a linear algebra algorithm to find out if a rank of a given tensor over a field $\F$ is at most $k$ over the algebraic closure of $\F$, where $k$ is a given positive integer. We estimate the arithmetic…

Combinatorics · Mathematics 2020-11-17 Mohsen Aliabadi , Shmuel Friedland

In these proceedings we discuss next-to-leading order (NLO) perturbative-QCD calculations of the cross section for the process $\ell N\to h X$. We briefly present the main features of the calculation and in particular analyze the role of…

High Energy Physics - Phenomenology · Physics 2015-10-27 Marc Schlegel , Patriz Hinderer , Werner Vogelsang

The main objective of this paper is to propose a definition of non-connective K-theory for a wide class of relative exact categories which, in general, do not satisfy the factorization axiom and confirm that it agrees with the…

Algebraic Geometry · Mathematics 2013-03-19 Satoshi Mochizuki

During the last year, analytic expressions for the two-loop QCD corrections to the form factors for the vector, axial-vector, scalar and pseudo-scalar vertices involving a pair of heavy quarks, $Q \bar{Q}$, were calculated. The results are…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Bernreuther , R. Bonciani , T. Gehrmann , R. Heinesch , T. Leineweber , P. Mastrolia , E. Remiddi

In this paper, we introduce the notion of K-rank, where K is an strong amalgamation Fraisse class. Roughly speaking, the K-rank of a partial type is the number of "copies" of K that can be "independently coded" inside of the type. We study…

Logic · Mathematics 2023-05-23 Vince Guingona , Miriam Parnes

Atoms and molecules can serve as sensitive probes of a possible variation of the fine structure constant $\alpha$ and electron-to-proton mass ratio $\mu$. Two types of sensitivity coefficients are often used to quantify and compare the…

Atomic Physics · Physics 2018-12-06 M. G. Kozlov , D. Budker
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