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It is shown that the hyperbolic functions can be associated with selfdecomposable distributions (in short: SD probability distributions or L\'evy class L probability laws). Consequently, they admit associated background driving L\'evy…

Probability · Mathematics 2010-09-21 Zbigniew J. Jurek , Marc Yor

We propose the formulation of a dihadron fragmentation function in terms of parton matrix elements. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two hadron inclusive cross section at…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. Majumder , Xin-Nian Wang

We show that the transverse double spin asymmetry (DSA) in the Drell-Yan process contributed only from the Sivers functions can be picked out by the weighting function…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhun Lu , Bo-Qiang Ma , Ivan Schmidt

We discuss the influence of fixed target Drell-Yan data on the extraction of parton distribution functions at next-to-next-to-leading order (NNLO) in QCD. When used in a parton distribution fit, the Drell-Yan (DY) data constrain sea quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sergey Alekhin , Kirill Melnikov , Frank Petriello

We generalize the celebrated coagulation-fragmentation duality of Pitman (1999), originally established for the PD$(\alpha,\theta)$ laws of Pitman and Yor (1997), resolving a two-decade open problem. Our framework extends the duality to…

Probability · Mathematics 2025-12-30 Lancelot F. James

We compare QCD theoretical predictions for heavy flavoured mesons fragmentation spectra in e+ e- annihilation with data from CLEO, BELLE and LEP. We include several effects in our calculation: next-to-leading order initial conditions,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matteo Cacciari , Paolo Nason , Carlo Oleari

We present the order $\alpha_s^2$ contributions to the coefficient functions corresponding to the longitudinal fragmentation function $F_L(x,Q^2)$. A comparison with the leading order $\alpha_s$ result for $F_L(x,Q^2)$ shows that the…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. J. Rijken , W. L. van Neerven

This is an invited commentary on "Geometrically incompatible confinement of solids", B. Davidovitch, Y. Sun and G. M. Grason (PNAS, doi:10.1073/pnas.1815507116 , arxiv:1809.06919).

Soft Condensed Matter · Physics 2019-01-14 Shankar C. Venkataramani

I report on precision comparisons of theoretical predictions for Drell-Yan (DY) transverse momentum spectra from two approaches: the analytical resummation approach based on Collins-Soper-Sterman (CSS) formalism and the parton branching…

High Energy Physics - Phenomenology · Physics 2021-08-10 Aron Mees van Kampen

The ongoing scientific interest in the properties and structure of electric double layers (EDLs) stems from their pivotal role in (super)capacitive energy storage, energy harvesting, and water treatment technologies. Classical density…

Soft Condensed Matter · Physics 2016-04-28 Andreas Härtel , Sela Samin , Rene van Roij

A study of the order $\alpha_s^2$ corrections to the Drell Yan (non-singlet) cross section for incoming states of arbitrary longitudinal helicities is presented. The study is performed in the case of the transverse momentum distributions,…

High Energy Physics - Phenomenology · Physics 2014-11-17 Sanghyeon Chang , Claudio Coriano , R. D. Field , L. E. Gordon

We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases.…

High Energy Physics - Theory · Physics 2008-02-03 V. M. Buchstaber , Giovanni Felder , A. V. Veselov

Noncolliding Brownian motion (Dyson's Brownian motion model with parameter $\beta=2$) and noncolliding Bessel processes are determinantal processes; that is, their space-time correlation functions are represented by determinants. Under a…

Probability · Mathematics 2015-02-13 Hirofumi Osada , Hideki Tanemura

This paper presents a measurement of the double-differential cross section for the Drell-Yan $Z/\gamma^{*} \rightarrow \ell^{+} \ell^{-}$ and photon-induced $\gamma\gamma \rightarrow \ell^{+} \ell^{-}$ processes where $\ell$ is an electron…

High Energy Physics - Experiment · Physics 2016-09-06 ATLAS Collaboration

The shear flow and the dielectric alpha-process in molecular glass formers is modeled in terms of local structural rearrangements which reverse a strong local shear. Using Eshelby's solution of the corresponding elasticity theory problem…

Disordered Systems and Neural Networks · Physics 2009-09-24 U. Buchenau

T-odd parton distribution functions in a Drell-Yan process are here studied by examining the evolution of the internal statistical properties of the interacting hadrons. T-odd functions are shown to be a signature of the irreversible…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andrea Bianconi

Dissociative electron attachment (DEA) shows functional group-dependent site selectivity in the $H^-$ ion channel. In this context, the thiol functional group has yet to be studied in great detail, although this functional group carries…

Chemical Physics · Physics 2024-04-17 Sukanta Das , Vaibhav S. Prabhudesai

We analyse polarised Drell-Yan process using the factorisation method and derive operator definitions for polarised parton distribution functions. We demonstrate that a factorisation analogous to that in the unpolarised Drell-Yan case holds…

High Energy Physics - Phenomenology · Physics 2015-06-25 Prakash Mathews , V. Ravindran

The function $y=\Phi_\alpha(x)$, the solution of $y^\alpha e^y=x$ for $x$ and $y$ large enough, has a series expansion in terms of $\ln x$ and $\ln\ln x$, with coefficients given in terms of Stirling cycle numbers. It is shown that this…

Classical Analysis and ODEs · Mathematics 2008-02-03 David J. Jeffrey , Robert M. Corless , David E. G. Hare , Donald E. Knuth

We derive an explicit expression for the functional derivative of the subleading term in the strong interaction limit expansion of the generalized Levy--Lieb functional for the special case of two electrons in one dimension. The expression…

Chemical Physics · Physics 2019-06-07 Juri Grossi , Michael Seidl , Paola Gori-Giorgi , Klaas J. H. Giesbertz
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