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We propose a novel method to compute multi-loop master integrals by constructing and numerically solving a system of ordinary differential equations, with almost trivial boundary conditions. Thus it can be systematically applied to problems…

High Energy Physics - Phenomenology · Physics 2018-02-28 Xiao Liu , Yan-Qing Ma , Chen-Yu Wang

The process of electron-positron annihilation into two photons in the presence of an intense classical plane wave of an arbitrary shape is investigated analytically by employing light-cone quantization and by taking into account the effects…

High Energy Physics - Phenomenology · Physics 2020-12-29 S. Bragin , A. Di Piazza

We describe in some detail the present features of an automatic loop calculation program as well as the integration techniques that go into it. The program, called XLOOPS 1.0, allows one to calculate massive one- and two-loop Feynman…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Frink , J. G. Körner , J. B. Tausk

The inclusive one- and two-jet cross-sections are measured in collisions of quasi-real photons at e+e- centre-of-mass energies of 130 and 136 GeV using the OPAL detector at LEP. Jets are reconstructed with a cone jet finding algorithm. The…

High Energy Physics - Experiment · Physics 2007-05-23 Stefan Soldner-Rembold

The resummed differential thrust rate in e+e- annihilation is calculated using Soft-Collinear Effective Theory (SCET). The resulting distribution in the two-jet region T~1 is found to agree with the corresponding expression derived by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthew D. Schwartz

A complete next-to-leading order QCD calculation of deep inelastic electron-photon scattering including direct and resolved real photon components is presented. Soft and collinear singularities are extracted using the phase space slicing…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Pötter

A method for calculating phase-space master integrals for the decay process $1 \to n$ massless partons in QCD using integration-by-parts and differential equations techniques is discussed. The method is based on the appropriate choice of…

High Energy Physics - Phenomenology · Physics 2016-03-23 O. Gituliar

The phase space slicing method of two cutoffs for next-to-leading-order Monte-Carlo style QCD corrections has been applied to many physics processes. The method is intuitive, simple to implement, and relies on a minimum of process dependent…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. W. Harris , J. F. Owens

We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full heavy-quark mass dependence. These are relevant for the NNLO…

High Energy Physics - Phenomenology · Physics 2020-02-03 R. Bonciani , V. Del Duca , H. Frellesvig , J. M. Henn , M. Hidding , L. Maestri , F. Moriello , G. Salvatori , V. A. Smirnov

JetViP is a computer program for the calculation of inclusive single- and dijet cross sections in eP- and e-gamma-scattering in NLO QCD. The virtuality of the photon, radiated by the incoming electron, can be chosen in a continuous range,…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Pötter

Multidimensional phase space integrals must be calculated in order to obtain predictions for total or differential cross sections, or to simulate unweighted events of multiparticle reactions. The corresponding matrix elements, already in…

High Energy Physics - Phenomenology · Physics 2025-06-06 Karol Kolodziej

We compute the fully differential decay rate of the Standard Model Higgs boson into b-quarks at next-to-next-to-leading order (NNLO) accuracy in alpha_S. We employ a general subtraction scheme developed for the calculation of higher order…

High Energy Physics - Phenomenology · Physics 2016-08-08 Vittorio Del Duca , Claude Duhr , Gabor Somogyi , Francesco Tramontano , Zoltan Trocsanyi

I review the status of next-to-leading-order calculations for hadronic final states in deeply-inelastic lepton--nucleon scattering. In more detail, I focus on calculations of (2+1)-jet-type cross sections, describe recent progress in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dirk Graudenz

We study a two-loop contribution to the dark-matter trispectrum and evaluate it numerically using an infrared-safe integrand. The calculation is organized as an expansion around a fixed reference cosmology: the linear matter power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-09 Andrea Favorito

In this work, exact mathematical expansions for the intrinsic electromagnetic (EM) or optical cross-sections (i.e., extinction, scattering and absorption) for a pair of perfectly conducting circular cylinders in a homogeneous medium are…

Optics · Physics 2019-12-03 F. G. Mitri

A new method for local subtraction at next-to-next-to-leading order in QCD is sketched, attempting to conjugate the minimal counterterm structure arising from a sector partition of the radiation phase space with the simplifications…

High Energy Physics - Phenomenology · Physics 2018-07-25 Lorenzo Magnea , Ezio Maina , Paolo Torrielli , Sandro Uccirati

The version 2.0 of the program SecDec is described, which can be used for the extraction of poles within dimensional regularisation from multi-loop integrals as well as phase space integrals. The numerical evaluation of the resulting finite…

High Energy Physics - Phenomenology · Physics 2012-06-25 Sophia Borowka , Jonathon Carter , Gudrun Heinrich

We introduce a new approach for the computation of the class of Feynman integrals whose integrands vanish in strictly four-dimensions, so-called ''pseudo-evanescent'' integrals. We argue that, up to $\mathcal{O}(\epsilon)$ corrections,…

High Energy Physics - Theory · Physics 2026-05-06 Alessandro Georgoudis , Ben Page

We propose an approach to the problem of global reconstruction of an orientation field. The method is based on a geometric model called "bisector line fields", which maps a pair of vector fields to an orientation field, effectively…

Numerical Analysis · Mathematics 2020-09-22 Nicolas Boizot , Ludovic Sacchelli

A recently proposed method of calculating scalar two-loop propagator and vertex functions with massive particles is illustrated with simple examples. A double integral representation is derived with the example of a propagator function. An…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki