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Double parton distributions satisfy the same evolution equations as ordinary single-parton densities, provided that the colours of the two partons are uncorrelated. The situation is different for colour correlated parton pairs, where…

High Energy Physics - Phenomenology · Physics 2024-02-22 Markus Diehl , Florian Fabry , Peter Ploessl

We treat the non-relativistic Compton scattering process in which an incoming photon scatters from an N-electron many-body state to yield an outgoing photon and a recoil electron, without invoking the commonly used frameworks of either the…

Strongly Correlated Electrons · Physics 2007-10-11 I. G. Kaplan , B. Barbiellini , A. Bansil

We report on recent results for the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. For the first time finite volume effects of this matrix element are investigated and come…

High Energy Physics - Lattice · Physics 2009-11-10 I. Wetzorke , M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , A. Shindler

We present the determination of a set of parton distributions of the nucleon, at next-to-leading order, from a global set of deep-inelastic scattering data: NNPDF1.0. The determination is based on a Monte Carlo approach, with neural…

High Energy Physics - Phenomenology · Physics 2010-05-12 Richard D. Ball , Luigi Del Debbio , Stefano Forte , Alberto Guffanti , Jose I. Latorre , Andrea Piccione , Juan Rojo , Maria Ubiali

We introduce a perturbative model that accounts for the contribution of multi-partonic interactions to collider observables. A key feature of this multi-parton model is that cross sections are organised in terms of building blocks that are…

High Energy Physics - Phenomenology · Physics 2025-06-23 Zeno Capatti , Lucien Huber , Michael Ruf

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements…

High Energy Physics - Lattice · Physics 2009-11-07 W. Detmold , W. Melnitchouk , A. W. Thomas

Spin-dependent quark densities, matrix elements of specific density operators in proton states of definite spin-polarization, indicate that the nucleon may harbor an infinite variety of non-spherical shapes. We show that these matrix…

Nuclear Theory · Physics 2008-11-26 Gerald A. Miller

We investigate the renormalization of a class of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson-line (called Wilson-line operators). The matrix elements of these operators are involved in the recent…

High Energy Physics - Lattice · Physics 2018-11-09 Gregoris Spanoudes , Haralambos Panagopoulos

Evolution of structure functions and their moments at low and moderate $Q^2$ is studied in the chiral field theory. Evolution equations based on perturbation expansion in the coupling constant of the effective theory are derived and solved…

High Energy Physics - Phenomenology · Physics 2016-09-06 Kakali Ray-Maity , Padmanabha Dasgupta

In this paper we study a 1+1 dimensional relativistic parton model for the structure of baryons. The quarks and anti-quarks interact through a linear potential. We obtain an analytic formula for the isospin averaged valence quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. John , G. S. Krishnaswami , S. G. Rajeev

We investigate the semileptonic and nonleptonic decays of $B_s$ mesons. We work within the context of nonrelativistic constituent quark models. We calculate the different form factors that parameterize the hadron matrix elements.

High Energy Physics - Phenomenology · Physics 2015-06-19 C. Albertus

We study infrared contributions to semihard parton-parton interactions by considering an effective charge whose finite infrared behavior is constrained by a dynamical mass scale. Using an eikonal QCD-based model in order to connect this…

High Energy Physics - Phenomenology · Physics 2021-01-19 C. A. S. Bahia , M. Broilo , E. G. S. Luna

Lattice QCD offers the possibility of computing parton distributions from first principles, although not in the usual $\overline{MS}$ factorization scheme. We study in this paper the evolution of non-singlet parton distribution functions…

High Energy Physics - Lattice · Physics 2023-11-01 H. Dutrieux , J. Karpie , C. Monahan , K. Orginos , S. Zafeiropoulos

We study the existence of positive solutions for nonlocal systems in gradient form and set in the whole $\mathbb R^N$. A quasilinear fractional Schr\"odinger equation, where the leading operator is the $\frac Ns$-fractional Laplacian, is…

Analysis of PDEs · Mathematics 2025-07-23 Daniele Cassani , Zhisu Liu , Giulio Romani

We formulate the hadronic tensor $W_{\mu\nu}$ of deep inelastic scattering in the path-integral formalism. It is shown that there are 3 gauge invariant and topologically distinct contributions. Besides the valence contribution, there are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Keh-Fei Liu

We study the systematic inclusion of QED corrections in the evolution of parton distributions. O(alpha) corrections modify the evolution equation for parton distributions. They introduce additional parton distributions, like the photon…

High Energy Physics - Phenomenology · Physics 2014-11-17 Markus Roth , Stefan Weinzierl

By working in QED, we obtain the electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron at the next-to-leading logarithmic accuracy. The PDFs account for all of the universal effects of initial-state…

High Energy Physics - Phenomenology · Physics 2022-07-26 V. Bertone , M. Cacciari , S. Frixione , G. Stagnitto

In this paper, we study the asymptotic behavior of the solutions of nonlocal bistable reaction-diffusion equations starting from compactly supported initial conditions. Depending on the relationship between the nonlinearity, the interaction…

Analysis of PDEs · Mathematics 2022-01-19 Christophe Besse , Alexandre Capel , Grégory Faye , Guilhem Fouilhé

We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann

We consider the radiative corrections to the impact factors of electron and photon. According to a generalized eikonal representation the e\bar e scattering amplitude at high energies and fixed momentum transfers is proportional to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. A. Kuraev , L. N. Lipatov , T. V. Shishkina
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