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A survey is given on the status of 3-loop heavy flavor corrections to deep-inelastic structure functions at large enough virtualities $Q^2$.

High Energy Physics - Phenomenology · Physics 2016-02-08 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , C. G. Raab , M. Round , C. Schneider , F. Wißbrock

We present an analytical calculation of the two-loop QCD corrections to the electromagnetic form factor of heavy quarks. The two-loop contributions to the form factor are reduced to linear combinations of master integrals, which are…

High Energy Physics - Phenomenology · Physics 2009-07-29 J. Gluza , A. Mitov , S. Moch , T. Riemann

We show that the Fourier transform of the Deeply Virtual Compton Scattering (DVCS) amplitude with respect to the skewness variable $\zeta$ at fixed invariant momentum transfer squared $t$ provides a unique way to visualize the structure of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. J. Brodsky , D. Chakrabarti , A. Harindranath , A. Mukherjee , J. P. Vary

We present a calculation of the bosonic contribution to the two-loop mixed QCD-electroweak scattering amplitudes for $Z$-boson production in association with one hard jet at hadron colliders. We employ a method to calculate amplitudes in…

High Energy Physics - Phenomenology · Physics 2024-09-30 Piotr Bargiela , Fabrizio Caola , Herschel Chawdhry , Xiao Liu

We introduce the concept of the quark quasifragmentation function (qFF) using an equal-time and spatially boosted form of the Collins-Soper fragmentation function where the out-meson fragment is replaced by the current asymptotic condition.…

High Energy Physics - Phenomenology · Physics 2024-12-30 Sebastian Grieninger , Ismail Zahed

The deeply virtual Compton scattering reaction has been investigated in the Hall A of the Jefferson Laboratory by measuring longitudinally polarized (e,e'gamma) cross sections, in the valence quark region, for protons and neutrons. In the…

Nuclear Experiment · Physics 2007-09-28 Eric Voutier

We calculated two--photon exchange effects for elastic electron--proton scattering at high momentum transfers. The corresponding nucleon Compton amplitude is defined by two space--like virtual photons that appear to have significant…

High Energy Physics - Phenomenology · Physics 2017-08-23 Andrei Afanasev , Igor Akushevich , N. P. Merenkov

We report on recent results on the two-mass corrections for massive operator matrix elements at 2- and 3-loop orders in QCD. These corrections form the building blocks of the variable flavor number scheme. Due to the similar values of the…

High Energy Physics - Phenomenology · Physics 2018-07-23 J. Ablinger , J. Blümlein , A. De Freitas , A. Goedicke , C. Schneider , K. Schönwald

Multi-loop scattering amplitudes are difficult to evaluate due to singularities of the integrals involved, especially with increasing number of loops, external legs, and mass scales. For the first time for hadronic collisions at two loops,…

High Energy Physics - Phenomenology · Physics 2025-11-26 Dario Kermanschah , Matilde Vicini

We consider the azimuthal angle dependence in the cross section of the hard leptoproduction of a photon on a nucleon target. We show that this dependence allows to define observables that isolate the twist-two and twist-three sectors in the…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Belitsky , A. Kirchner , D. Müller

In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start…

High Energy Physics - Phenomenology · Physics 2008-12-19 I. Bierenbaum , J. Blümlein , S. Klein

We consider two-loop corrections to $2\to 2$ scattering processes with massive particles in the final state and massive particles in the loop. We discuss the combination of analytic expansions in the high-energy limit and for small…

High Energy Physics - Phenomenology · Physics 2023-06-28 Joshua Davies , Go Mishima , Kay Schönwald , Matthias Steinhauser

For two-loop two-point diagrams with arbitrary masses, an algorithm to derive the asymptotic expansion at large external momentum squared is constructed. By using a general theorem on asymptotic expansions of Feynman diagrams, the…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. I. Davydychev , V. A. Smirnov , J. B. Tausk

We present a new and fully general algorithm for the automated construction of the integrands of two-loop scattering amplitudes. This is achieved through a generalisation of the open-loops method to two loops. The core of the algorithm…

High Energy Physics - Phenomenology · Physics 2022-07-18 Stefano Pozzorini , Natalie Schär , Max F. Zoller

We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct the one-loop integrands for four-point scattering between two distinct massive scalars,…

High Energy Physics - Theory · Physics 2021-02-10 John Joseph M. Carrasco , Ingrid A. Vazquez-Holm

We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities $Q^2$ up to three-loop order to the unpolarized structure function $F_2(x,Q^2)$ and the polarized structure function…

High Energy Physics - Phenomenology · Physics 2026-01-21 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

The Compton amplitude is calculated in terms of expectation values of light-ray quark operators. As a technical tool we apply the nonlocal light-cone expansion. Thereby we express the expectation value of the vector light-ray operator with…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , B. Gezer , D. Robaschik

Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half plane. Our results include the two-point connectivities in…

Mathematical Physics · Physics 2026-02-13 Max Downing , Jesper Lykke Jacobsen , Rongvoram Nivesvivat , Hubert Saleur

The infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension \Gamma, which is a matrix in color space and depends on the momenta and masses of the external partons. It has recently been shown that in…

High Energy Physics - Phenomenology · Physics 2009-11-19 Andrea Ferroglia , Matthias Neubert , Ben D. Pecjak , Li Lin Yang

We present a calculation of the vector-isovector timelike form-factors of the pion and the kaon using lattice quantum chromodynamics. We calculate two-point correlation functions with $m_\pi \sim 280$ MeV, extracting both the finite-volume…

High Energy Physics - Lattice · Physics 2024-07-31 Felipe Ortega-Gama , Jozef Dudek , Robert Edwards