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Dose calculations in proton therapy require the fast and accurate solution of a high-dimensional transport equation for a large number of (pencil) beams with different energies and directions. Deterministically solving this transport…

Numerical Analysis · Mathematics 2025-08-07 Pia Stammer , Niklas Wahl , Jonas Kusch , Danny Lathouwers

We present a simple method for considering radiative corrections. Precision data are well described by an adequate Born approximation and only the first evidence for deviations from the tree level formulas and the presence of the loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Vysotsky , ITEP , Moscow , Russia

We consider a `color density matrix' in gauge theory. We argue that it systematically resums large logarithms originating from wide-angle soft radiation, sometimes referred to as non-global logarithms, to all logarithmic orders. We…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot

We exactely calculate the inclusive transverse momentum (kt) distributions and the 2-particle momentum correlations in high energy hadronic jets at the Modified Leading Logarithmic Approximation (MLLA) of QCD (Quantum Chromodynamics). We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Redamy Perez Ramos

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

High Energy Physics - Phenomenology · Physics 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels

In this paper, we study a second-order accurate and linear numerical scheme for the nonlocal Cahn-Hilliard equation. The scheme is established by combining a modified Crank-Nicolson approximation and the Adams-Bashforth extrapolation for…

Numerical Analysis · Mathematics 2022-09-09 Xiao Li , Zhonghua Qiao , Cheng Wang

We comment on two recent calculations of the second order perturbative corrections in the heavy flavor semileptonic transitions within the Brodsky-Lepage-Mackenzie approach. It is pointed out that the results do not show significant…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Shifman , N. G. Uraltsev

In this paper, we introduce the concept of sparse bilinear logistic regression for decision problems involving explanatory variables that are two-dimensional matrices. Such problems are common in computer vision, brain-computer interfaces,…

Optimization and Control · Mathematics 2014-04-17 Jianing V. Shi , Yangyang Xu , Richard G. Baraniuk

We discuss the theoretical underpinnings for the extraordinary success of perturbative QCD in the description of HERA data. In particular, we examine recent progress in the understanding of perturbative QCD at small x. We explain the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Stefano Forte , Richard D. Ball

In this paper we compare the experimental HERA data with the next-to-leading order approach (NLO) of Ref.[C.~Contreras, E.~Levin, R.~Meneses and M.~Sanhueza,Eur. Phys. J. C 80 (2020) no.11, 1029). This approach includes the re-summed NLO…

High Energy Physics - Phenomenology · Physics 2022-01-05 Carlos Contreras , Eugene Levin , Michael Sanhueza

In this thesis, we develop resummation algorithms suitable for perturbative QCD. In the first part, we propose a resummation technique applicable to the Regge limit. We develop a new systematic procedure for this limit in perturbative QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tibor Kucs

We have calculated the complete O(alpha) and O(alpha_s) radiative corrections to the Higgs-production process e+ e- -> t anti-t H in the Standard Model. This process is particularly interesting for the measurement of the top-quark Yukawa…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier , M. Roth , M. M. Weber

In this work, we present the correction formulas of the $k$-step BDF convolution quadrature at the starting $k-1$ steps for the fractional Feynman-Kac equation with L\'{e}vy flight. The desired $k$th-order convergence rate can be achieved…

Numerical Analysis · Mathematics 2020-10-20 Jiankang Shi , Minghua Chen

The weak radiative corrections to the Drell-Yan process above the Z-peak have been studied. The compact asymptotic expression for the two heavy boson exchange - one of the significant contributions to the investigated process - has been…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. A. Zykunov

This article describes a method for calculating higher order or nonadiabatic corrections in Born-Oppenheimer theory and its interaction with the translational degrees of freedom. The method uses the Wigner-Weyl correspondence to map nuclear…

Chemical Physics · Physics 2023-12-21 Robert Littlejohn , Jonathan Rawlinson , Joseph Subotnik

We introduce a collection of nonlinear integrable partial differential-difference equations that are satisfied by the one-point distribution functions of some classical integrable KPZ models. Moreover, these equations can be regarded as…

Probability · Mathematics 2025-09-23 C. Alexander Rodriguez

The ${\cal O}(\alpha)$ radiative corrections to the process $p\,p\hskip-7pt\hbox{$^{^{(\!-\!)}}$} \rightarrow \gamma^*, \, Z \rightarrow \ell^+ \ell^-$ ($\ell=e,\,\mu$) are calculated. Factorizing the collinear singularity associated with…

High Energy Physics - Phenomenology · Physics 2009-10-30 U. Baur , S. Keller , W. K. Sakumoto

The radiative corrections of the strong and electroweak interactions are calculated for the Higgs-boson decays H -> WW/ZZ -> 4f with semileptonic or hadronic four-fermion final states in next-to-leading order. This calculation is improved…

High Energy Physics - Phenomenology · Physics 2010-10-27 A. Bredenstein , A. Denner , S. Dittmaier , M. M. Weber

The two-loop radiative photonic corrections to the Bhabha scattering are computed in the leading order of the small electron mass expansion up to nonlogarithmic term. After including the soft photon bremsstrahlung we obtain the infrared…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Penin

We present results for the electroweak radiative corrections to the production of a leptonically decaying Z boson in association with two jets at the LHC. Tree-level and one-loop amplitudes have been obtained with the computer code Recola…

High Energy Physics - Phenomenology · Physics 2013-11-22 Ansgar Denner , Lars Hofer , Andreas Scharf , Sandro Uccirati