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We calculate the spin density matrix of the hadron $h$ created via quark fragmentation in the process $e^-e^+ \to q\bar q \to h + X$. In the case of $h=\Lambda$ the experimental data could possibly elucidate the problem of $s$-quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Anselm , M. Anselmino , F. Murgia , M. G. Ryskin

The article describes a purely topological counterpart of the $\epsilon$-factorization of constants in the functional equations (which is a key ingredient in the interplay between L-functions and classical automorphic forms). We consider…

Algebraic Geometry · Mathematics 2007-05-23 Alexander Beilinson

{\em Quantum Fourier analysis} is a new subject that combines an algebraic Fourier transform (pictorial in the case of subfactor theory) with analytic estimates. This provides interesting tools to investigate phenomena such as quantum…

Operator Algebras · Mathematics 2021-06-30 Arthur Jaffe , Chunlan Jiang , Zhengwei Liu , Yunxiang Ren , Jinsong Wu

The hadronization of a high-energy parton is described by fragmentation functions which are introduced through QCD factorizations. While the hadronization mechanism per se remains uknown, fragmentation functions can still be investigated…

High Energy Physics - Phenomenology · Physics 2023-07-07 Kai-Bao Chen , Tianbo Liu , Yu-Kun Song , Shu-Yi Wei

The role of the top quark in completing the Standard Model quark sector is reviewed, along with a discussion of production, decay, and theoretical restrictions on the top quark properties. Particular attention is paid to the top quark as a…

High Energy Physics - Phenomenology · Physics 2009-09-29 S. Dawson

Let K be a henselian valued field of characteristic 0. Then K admits a definable partition on each piece of which the leading term of a polynomial in one variable can be computed as a definable function of the leading term of a linear map.…

Logic · Mathematics 2012-04-16 Joseph Flenner

In this contribution I will try to give an overview of what has been achieved in constituent quark models of mesons and baryons by a comparison of some selected results from various ansaetze with experimental data. In particular I will…

High Energy Physics - Phenomenology · Physics 2009-11-10 Bernard Metsch

High statistics fixed target and ISR inclusive photon production data are compared to next-to-leading order (NLO) QCD calculations. The dependence of the theoretical predictions on the structure functions, and on the theoretical scales is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Werlen

Factor analysis refers to a statistical model in which observed variables are conditionally independent given fewer hidden variables, known as factors, and all the random variables follow a multivariate normal distribution. The parameter…

Statistics Theory · Mathematics 2010-03-04 Mathias Drton , Bernd Sturmfels , Seth Sullivant

We review the X = K conjecture and important ingredients for the proof. We also attach notes on the rank estimate for the X = K theorem to hold and on the strange relation that was found to be valid without the assumption that the rank is…

Quantum Algebra · Mathematics 2011-05-10 Cedric Lecouvey , Masato Okado , Mark Shimozono

We analyse the isoscalar vector current form factors of the nucleon using dispersion relations. In addition to the usual vector meson poles, we account for the K\bar{K}-continuum contribution by drawing upon a recent analytic continuation…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. -W. Hammer , M. J. Ramsey-Musolf

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…

Functional Analysis · Mathematics 2019-11-28 Palle Jorgensen , Feng Tian

Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, $K(\tau)$, of a generic quantum graph with mixing classical dynamics and time-reversal symmetry. We calculate the contribution from pairs of…

Chaotic Dynamics · Physics 2007-05-23 Gregory Berkolaiko , Holger Schanz , Robert S. Whitney

Quantile Factor Models (QFM) represent a new class of factor models for high-dimensional panel data. Unlike Approximate Factor Models (AFM), where only location-shifting factors can be extracted, QFM also allow to recover unobserved factors…

Econometrics · Economics 2020-09-24 Liang Chen , Juan Jose Dolado , Jesus Gonzalo

I review the basic idea of $k_{\perp}$-factorization and its relation to collinear factorization. Theoretical results in resummed perturbation theory are summarized and the example of the heavy-flavour structure functions is explicitly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani

Experimental results on hadronic soft and hard diffractive processes are reviewed with emphasis on aspects of the data that point to the underlying QCD mechanism for diffraction. Diffractive differential cross sections are shown to be…

High Energy Physics - Phenomenology · Physics 2009-09-29 Konstantin Goulianos

In this paper, the concepts of $K$-subset systems and $k$-well-filtered spaces are introduced, which provide another uniform approach to $d$-spaces, $s$-well-filtered spaces (i.e., $\mathcal{U}_{S}$-admissibility) and well-filtered spaces.…

General Topology · Mathematics 2023-06-22 Mengjie Jin , Qingguo Li

The key quantity of the heavy quark theory is the quark mass $m_Q$. Since quarks are unobservable one can suggest different definitions of $m_Q$. One of the most popular choices is the pole quark mass routinely used in perturbative…

High Energy Physics - Phenomenology · Physics 2010-11-01 I. I. Bigi , M. A. Shifman , N. G. Uraltsev , A. I. Vainshtein

There has recently been surprising progress in understanding the spin and flavor dependence of deep inelastic structure functions in terms of the same physics needed in the simple quark models used for hadronic spectroscopy. However, the…

High Energy Physics - Phenomenology · Physics 2010-03-26 F. M. Steffens , A. W. Thomas

The QCD factorization approach provides the theoretical basis for a systematic analysis of nonleptonic decay amplitudes of B mesons in the heavy-quark limit. After recalling the basic ideas underlying this formalism, several tests of QCD…

High Energy Physics - Phenomenology · Physics 2010-11-23 Matthias Neubert
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