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We present a time-dependent perturbative approach adapted to the treatment of intense pulsed interactions. We show there is a freedom in choosing secular terms and use it to optimize the accuracy of the approximation. We apply this…

Quantum Physics · Physics 2007-05-23 D. Daems , S. Guérin , H. R. Jauslin , A. Keller , O. Atabek

We argue that the perturbative QCD correlations contribute dominantly to the double parton distributions as compared to the nonperturbative ones in the limit of sufficiently large hard scales and for not parametrically small longitudinal…

High Energy Physics - Phenomenology · Physics 2014-07-16 A. M. Snigirev , N. A. Snigireva , G. M. Zinovjev

The recent formulation of the factorization theorem for transverse momentum spectra in terms of well-defined transverse momentum dependent distributions (TMDs), allows for a better understanding of the role of the perturbative and…

High Energy Physics - Phenomenology · Physics 2015-10-13 Umberto D'Alesio , Miguel G. Echevarria , Stefano Melis , Ignazio Scimemi

In order to study twist-3 and transverse momentum dependent parton distributions, we use light-front time-ordered pQCD at order $\alpha_s$ to calculate various distribution functions for a dressed quark target. This study enables us to…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Kundu , A. Metz

All the leading-twist parton distribution functions are calculated in a spectator model of the nucleon, using scalar and axial-vector diquarks. Single gluon rescattering is used to generate T-odd distribution functions. Different choices…

High Energy Physics - Phenomenology · Physics 2009-01-14 A. Bacchetta , F. Conti , M. Radici

We study the inverse problem of recovering a spatially dependent variable order in a time-fractional diffusion model from the boundary flux measurement generated by a single boundary excitation. It arises in the identification of…

Analysis of PDEs · Mathematics 2026-02-27 Jiho Hong , Bangti Jin , Yavar Kian

We perform next-to-leading order global analyses of deep inelastic and related data for different fixed values of $\alpha_S (M_Z^2)$. We present sets of parton distributions for six values of $\alpha_S$ in the range 0.105 to 0.130. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Martin , W. J. Stirling , R. G. Roberts

The UV divergences associated with transverse-momentum dependent (TMD) parton distribution functions (PDF) are calculated together with the ensuing one-loop anomalous dimensions in the light-cone gauge. Time-reversal-odd effects in the…

High Energy Physics - Phenomenology · Physics 2009-11-13 I. O. Cherednikov , N. G. Stefanis

We review recent developments in the calculation of deep-inelastic structure functions to next-to-next-to leading order in perturbative QCD. We discuss the impact of these corrections on the determination of the strong coupling alpha_s and…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Moch , J. A. M. Vermaseren , M. Zhou

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

We study perturbations of random dynamical systems whose associated transfer operators admit a uniform spectral gap. We provide a $k^{\text{th}}$-order approximation for the invariant density of the associated random dynamical system. We…

Dynamical Systems · Mathematics 2020-06-18 Toby Taylor-Crush

We compute the order alpha_s^2 corrections to the one particle inclusive electroproduction cross section of hadrons with non vanishing transverse momentum. We compare our results with H1 data on forward production of pi^0, and conclude that…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Daleo , D. de Florian , R. Sassot

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

In the perturbative QCD with $N_c\to\infty$ the amplitude for the collision of two heavy nuclei is expressed via dipole densities in the nuclei. Coupled equations for these densities are derived in the configuration space. The equations are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Braun

We discuss different operator definitions of the transverse-momentum dependent (TMD) parton densities from the point of view of their renormalization-group (RG) properties and UV evolution. We also consider the structure of the gauge links…

High Energy Physics - Phenomenology · Physics 2011-04-04 I. O. Cherednikov , N. G. Stefanis

To resolve the current ambiguity in the splitting function corresponding to the quark transversity distribution $h_1(x)$, we calculate $h_1(x)$ for a dressed quark in light-front Hamiltonian perturbation theory. Our result agrees with the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Asmita Mukherjee , Dipankar Chakrabarti

In perturbation theory, the spectral densities of two-point functions develop non-integrable threshold singularities at higher orders. In QCD, such singularities emerge when calculating the diagrams in terms of the pole quark mass, and they…

High Energy Physics - Phenomenology · Physics 2021-01-20 Dmitri Melikhov , Silvano Simula

We calculate the transverse momentum Q_{\perp} dependence of the helicity structure functions for the hadroproduction of a massive pair of leptons with pair invariant mass Q. These structure functions determine the angular distribution of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Edmond L Berger , Jian-Wei Qiu , Ricardo A. Rodriguez-Pedraza

Integral transformations of the QCD invariant (running) coupling and of some related objects are discussed. Special attention is paid to the Fourier transformation, that is to transition from the space-time to the energy--momentum…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Shirkov

We investigate the relevance of time ordering in the definition of off-diagonal parton distributions in terms of products of fields. The method we use easily allows determination of their support properties and provides a link to their…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Diehl , T. Gousset
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