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Compton scattering is a fundamental process in QED with broad applications, yet its theoretical description at high energies is challenged by substantial next-to-leading order (NLO) corrections arising from double-logarithmic enhancements.…

High Energy Physics - Phenomenology · Physics 2025-11-13 Hai Tao Li , Yan-Qing Ma , Cheng-Tai Tan , Jian Wang , Hong-Fei Zhang

We evaluate in perturbative QCD the semi-inclusive Drell-Yan cross-section for the production of a single hadron accompaining the lepton pair. We demonstrate to one loop level a collinear factorization formula within the fracture functions…

High Energy Physics - Phenomenology · Physics 2008-11-26 Federico A. Ceccopieri , Luca Trentadue

The one-particle inclusive cross section in deeply inelastic lepton--nucleon scattering, expressed in terms of parton densities and fragmentation functions being differential in the invariant mass of the observed hadron and of the incoming…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dirk Graudenz

The splitting of photons in the presence of an intense magnetic field has recently found astrophysical applications in polar cap models of gamma-ray pulsars and in magnetar scenarios for soft gamma repeaters. Numerical computation of the…

Astrophysics · Physics 2009-10-30 Matthew G. Baring , Alice K. Harding

We have computed the complete next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of unpolarized parton densities in perturbative QCD. Our results agree with all partial results available in…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Moch , J. A. M. Vermaseren , A. Vogt

The factorization of amplitudes into hard, soft and collinear parts is known to be violated in situations where incoming particles are collinear to outgoing ones. This result was first derived by studying limits where non-collinear…

High Energy Physics - Phenomenology · Physics 2017-09-20 Matthew D. Schwartz , Kai Yan , Hua Xing Zhu

In the target fragmentation region of Semi-Inclusive Deep Inelastic Scattering, the diffractively produced hadron has small transverse momentum. If it is at order of $\Lambda_{QCD}$, it prevents to make predictions with the standard…

High Energy Physics - Phenomenology · Physics 2022-01-17 K. B. Chen , J. P. Ma , X. B. Tong

Building on earlier work, the dipole subtraction formalism for photonic corrections is extended to various photon--fermion splittings where the resulting collinear singularities lead to corrections that are enhanced by logarithms of small…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Dittmaier , Alois Kabelschacht , Tobias Kasprzik

The spin-dependent cross sections for semi-inclusive lepton-nucleon scattering are derived in the framework of collinear factorization, including the effects of masses of the target and produced hadron at finite momentum transfer squared…

High Energy Physics - Phenomenology · Physics 2015-10-28 J. V. Guerrero , J. J. Ethier , A. Accardi , S. W. Casper , W. Melnitchouk

We provide a precise statement of hard-soft-collinear factorization of scattering amplitudes and prove it to all orders in perturbation theory. Factorization is formulated as the equality at leading power of scattering amplitudes in QCD…

High Energy Physics - Phenomenology · Physics 2015-03-09 Ilya Feige , Matthew D. Schwartz

The coplete analysis of the model-independent leading radiative corrections to cross-section and polarization observables in semi-inclusive deep-inelastic electron-nucleus scattering with detection of a proton and scattered electron in…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Afanas'ev , I. Akushevich , G. I. Gakh , N. P. Merenkov

The Regge limit in perturbative QCD for processes as DIS (low x) and photon or onia-particles scattering is considered. In the first part a phenomenological approach for the inclusion of the running coupling, preserving the gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca

We present results for unpolarized and polarized semi-inclusive deep-inelastic scattering mediated by electroweak gauge bosons at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics. The results include all relevant…

High Energy Physics - Phenomenology · Physics 2026-04-01 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

We present the two-loop virtual QCD corrections to the scattering of massless distinct quarks in conventional dimensional regularisation. The structure of the infrared divergences agrees with that predicted by Catani while expressions for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Anastasiou , E. W. N. Glover , C. Oleari , M. E. Tejeda-Yeomans

The semi-inclusive deep-inelastic scattering (SIDIS) process requires the presence of an identified hadron H$'$ in the final state, which arises from the scattering of a lepton with an initial hadron P. By employing factorization in quantum…

High Energy Physics - Phenomenology · Physics 2025-11-03 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , V. Ravindran

We have calculated the complete matrix of three-loop helicity-difference (`polarized') splitting functions Delta P_ik^(2), i,k = q,g, in massless perturbative QCD. In this note we briefly discuss some properties of the polarized splitting…

High Energy Physics - Phenomenology · Physics 2014-05-15 A. Vogt , S. Moch , J. A. M. Vermaseren

The interference between Compton scattering and nonlinear Compton scattering from a two-color field in the X-ray regime is theoretically examined for bound electrons. The underlying phase shifts are analysed using a perturbative approach in…

Atomic Physics · Physics 2021-01-27 Akilesh Venkatesh , F. Robicheaux

We calculate three-loop photon spectral density in QED with $N$ different species of electrons. The obtained results were expressed in terms of iterated integrals, which are either reduce to Goncharov's polylogarithms or can be written in…

High Energy Physics - Phenomenology · Physics 2022-12-08 A. I. Onishchenko

This thesis work summarizes studies in QCD for applications both at hadron colliders and in exclusive processes. In the first part we focus our attention on the study of the initial state scaling violations and the evolution of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marco Guzzi

We recalculate the next-to-leading order Altarelli-Parisi kernel using a method which relates it to the splitting amplitudes describing the collinear factorization properties of scattering amplitudes. The method breaks up the calculation of…

High Energy Physics - Phenomenology · Physics 2014-11-17 David A. Kosower , Peter Uwer