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We review the present state of knowledge regarding the transverse polarisation (or transversity) distributions of quarks. After some generalities on transverse polarisation, we formally define the transversity distributions within the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vincenzo Barone , Alessandro Drago , Philip G. Ratcliffe

The Fourier transform of generalized parton distribution functions at xi=0 describes the distribution of partons in the transverse plane. The physical significance of these impact parameter dependent parton distribution functions is…

High Energy Physics - Phenomenology · Physics 2011-05-05 Matthias Burkardt

The hadronic decay B -> J K^* is analyzed within the framework of QCD factorization. The spin amplitudes A_0, A_\parallel and A_\perp in the transversity basis and their relative phases are studied using various different form-factor models…

High Energy Physics - Phenomenology · Physics 2011-03-23 Hai-Yang Cheng , Yong-Yeon Keum , Kwei-Chou Yang

I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commu-tative ring. A main tool for this study is the construction of a correspondence functor associated…

Representation Theory · Mathematics 2019-02-15 Serge Bouc , Jacques Thévenaz

We show that any determination of the strong coupling $\alpha_s$ from a process which depends on parton distributions, such as hadronic processes or deep-inelastic scattering, generally does not lead to a correct result unless the parton…

High Energy Physics - Phenomenology · Physics 2020-03-18 Stefano Forte , Zahari Kassabov

By measuring the substructure of a jet, one can assign it a "quark" or "gluon" tag. In the eikonal (double-logarithmic) limit, quark/gluon discrimination is determined solely by the color factor of the initiating parton (C_F versus C_A). In…

We consider higher order corrections to the g factor of a bound proton in hydrogen atom and their consequences for a magnetic moment of free and bound proton and deuteron as well as some other objects.

High Energy Physics - Phenomenology · Physics 2009-11-10 Savely G. Karshenboim , Vladimir G. Ivanov

We find the leading order result for the anapole form factor of the deuteron using effective field theory. The momentum dependence of the anapole form factor is different from that of the matrix element of the strange currents in the…

Nuclear Theory · Physics 2009-10-31 Martin J. Savage , Roxanne P. Springer

Using methods from effective field theory, an exact all-order expression for the Drell-Yan cross section at small transverse momentum is derived directly in q_T space, in which all large logarithms are resummed. The anomalous dimensions and…

High Energy Physics - Phenomenology · Physics 2011-06-20 Thomas Becher , Matthias Neubert

It is well-known that if a subset A of a finite Abelian group G satisfies a quasirandomness property called uniformity of degree k, then it contains roughly the expected number of arithmetic progressions of length k, that is, the number of…

Number Theory · Mathematics 2014-02-26 W. T. Gowers , J. Wolf

Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization. I review these and other related divergences, and show…

High Energy Physics - Phenomenology · Physics 2009-02-19 John Collins

We study the QCD sources of systematic uncertainties in the experimental extraction of the W cross section at hadron colliders. The uncertainties appear in the evaluation of the detector acceptances used to convert the number of observed…

High Energy Physics - Phenomenology · Physics 2011-03-23 S. Frixione , M. L. Mangano

As the heaviest known fundamental particle, the top quark has taken a central role in the study of fundamental interactions. The top quark mass is a fundamental parameter of the standard model which places constraints on the Higgs boson…

High Energy Physics - Phenomenology · Physics 2012-10-03 Michele Gallinaro

We derive the nonlinear k_\perp-factorization for the spectrum of jets in high-mass diffractive deep inelastic scattering as a function of three hard scales - the virtuality of the photon Q^2, the transverse momentum of the jet and the…

High Energy Physics - Phenomenology · Physics 2009-11-11 N. N. Nikolaev , W. Schäfer , B. G. Zakharov , V. R. Zoller

Let $f(x_1,...,x_k)$ be a polynomial over a field $K$. This paper considers such questions as the enumeration of the number of nonzero coefficients of $f$ or of the number of coefficients equal to $\alpha\in K^*$. For instance, if $K=\ff_q$…

Combinatorics · Mathematics 2008-11-25 Tewodros Amdeberhan , Richard P. Stanley

Direct and indirect information on the top quark mass and its decay modes is reviewed. The theory of top production in hadron- and electron-positron-colliders is presented.

High Energy Physics - Phenomenology · Physics 2009-09-25 J. H. Kuehn

Orbital angular momentum is crucial for the description of several process at large momentum transfer in the impulse approximation in perturbative QCD. We review the mechanism of independent scattering which makes violation of the helicity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pankaj Jain , John P. Ralston , Bernard Pire

A sizeable difference in the differential production cross section of top and antitop quarks, respectively, is predicted for hadronically produced heavy quarks. It is of order $\alpha_s$ and arises from the interference between charge odd…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. H. Kühn , G. Rodrigo

A matrix is said to have factor width at most $k$ if it can be written as a sum of positive semidefinite matrices that are non-zero only in a single $k \times k$ principal submatrix. We explore the ``factor-width-$k$ rank'' of a matrix,…

Combinatorics · Mathematics 2025-04-03 Nathaniel Johnston , Shirin Moein , Sarah Plosker