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Differential spectra in observables that resolve additional soft or collinear QCD emissions exhibit Sudakov double logarithms in the form of logarithmic plus distributions. Important examples are the total transverse momentum $q_T$ in…

High Energy Physics - Phenomenology · Physics 2017-02-24 Markus A. Ebert , Frank J. Tackmann

Infrared renormalons and $1/Q^2$ power corrections in deep-inelastic sum rules are studied. The renormalization of operators with power divergence are discussed. The higher-twist terms in the operator product expansion are shown to account…

High Energy Physics - Phenomenology · Physics 2015-06-25 Xiangdong Ji , MIT

We derive the DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory in the next-to-leading approximation. The eigenvalue of the BFKL kernel in this model turns out to be an analytic function of the conformal spin |n|.…

High Energy Physics - Phenomenology · Physics 2010-04-05 A. V. Kotikov , L. N. Lipatov

The threshold region for double-deeply virtual Compton scattering (DDVCS) is discussed. I derive a resummation formula for the (partonic) threshold logarithms in the flavor non-singlet case. The resummations can be done by using…

High Energy Physics - Phenomenology · Physics 2025-01-03 Jakob Schoenleber

In this letter we show that for observables which involve the measurement of weak charge in final states in hadronic collisions, the standard parton model picture breaks down at scales well above the weak scale due to nonfactorizable…

High Energy Physics - Phenomenology · Physics 2019-11-20 Matthew Baumgart , Ozan Erdoğan , Ira Z. Rothstein , Varun Vaidya

Dissipative vortices are stable two-dimensional localized structures existing due to balance between gain and loss in nonlinear systems far from equilibrium. Being resistant to the dispersion and nonlinear distortions they are considered as…

Pattern Formation and Solitons · Physics 2018-12-26 Bogdan A. Kochetov , Vladimir R. Tuz

The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art…

High Energy Physics - Phenomenology · Physics 2023-10-17 Johannes M. Henn , Calum Milloy , Kai Yan

We study the perturbative QCD corrections to heavy-quark structure functions of charged-lepton deep-inelastic scattering and their impact on global fits of parton distributions. We include the logarithmically enhanced terms near threshold…

High Energy Physics - Phenomenology · Physics 2009-02-12 S. Alekhin , S. Moch

Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called non-global logarithms emerge from soft radiation emitted off energetic partons inside…

High Energy Physics - Phenomenology · Physics 2021-12-01 Thomas Becher , Matthias Neubert , Ding Yu Shao

We study the strong corrections to the Higgs coupling to two photons. This coupling is the dominant mechanism for Higgs production in photon-photon collisions. In addition, the two photon decay mode of the Higgs is an important and…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Akhoury , H. Wang , O. Yakovlev

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

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

We present a simple proof of the all-order exponentiation of soft logarithmic corrections to hard processes in perturbative QCD. Our argument is based on proving that all large logs in the soft limit can be expressed in terms of a single…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefano Forte , Giovanni Ridolfi

I review recent progress in analysing deep inelastic scattering structure functions in global analyses. The new ingredients are new data and attempts to incorporate heavy quarks consistently. A new way of including the resummation of large…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. G. Roberts

The thrust distribution in electron-positron annihilation is a classical precision QCD observable. Using renormalization group (RG) evolution in Laplace space, we perform the resummation of logarithmically enhanced corrections in the dijet…

High Energy Physics - Phenomenology · Physics 2015-03-19 Pier Francesco Monni , Thomas Gehrmann , Gionata Luisoni

We consider Drell-Yan production $pp \to Z/\gamma^* \to \ell^+\ell^-$ with the simultaneous measurement of the $Z$-boson transverse momentum $q_T$ and $0$-jettiness $\mathcal{T}_0$. Since both observables resolve the initial-state QCD…

High Energy Physics - Phenomenology · Physics 2020-10-08 Gillian Lustermans , Johannes K. L. Michel , Frank J. Tackmann , Wouter J. Waalewijn

We introduce a model which integrates the complex Ginzburg-Landau (CGL) equation in two dimensions (2D) with the linear-cubic-quintic combination of loss and gain terms, self-defocusing nonlinearity, and a periodic potential. In this…

Pattern Formation and Solitons · Physics 2015-05-13 Hidetsugu Sakaguchi , Boris Malomed

We show how to fix the renormalization scale for hard-scattering exclusive processes such as deeply virtual meson electroproduction by applying the BLM prescription to the imaginary part of the scattering amplitude and employing a fixed-t…

High Energy Physics - Phenomenology · Physics 2009-01-07 Stanley J. Brodsky , Felipe J. Llanes-Estrada

We derive threshold resummation of semi-inclusive deep-inelastic scattering (SIDIS), by building upon previous results by some of us for the resummation of the Drell-Yan process at fixed rapidity, which is related to SIDIS by crossing. We…

High Energy Physics - Phenomenology · Physics 2026-05-01 Stefano Forte , Giovanni Ridolfi , Francesco Ventola

We present a recent study of the QCD corrections to dilepton production near partonic threshold in transversely polarized \bar{p}p scattering. We analyze the role of the higher-order perturbative QCD corrections in terms of the available…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hirotaka Shimizu , George Sterman , Werner Vogelsang , Hiroshi Yokoya