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Related papers: Numerical multi-loop integrals and applications

200 papers

We present the complete electroweak one-loop corrections to top-pair production at a linear e^+e^- collider in the continuum region. Besides weak and photonic virtual corrections, real hard bremsstrahlung with simple realistic kinematical…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Fleischer , A. Leike , T. Riemann , A. Werthenbach

Modern lunar-planetary ephemerides are numerically integrated on the observational timespan of more than 100 years (with the last 20 years having very precise astrometrical data). On such long timespans, not only finite difference…

Earth and Planetary Astrophysics · Physics 2023-04-11 Maxim Subbotin , Alexander Kodukov , Dmitry Pavlov

We present the results of the complete electroweak loop corrections to the process $ gg \to gH $ at the Large Hadron Collider. The electroweak corrections to the total cross section are found to be approximately $ +4\% $. At the…

High Energy Physics - Phenomenology · Physics 2025-08-05 Huan-Yu Bi , Yan-Qing Ma , Dao-Ming Mu

The aim of this article is to review the very important role played by radiative corrections in precision electroweak physics, in the framework of both the Fermi Theory of Weak Interactions and the Standard Theory of Particle Physics.…

High Energy Physics - Phenomenology · Physics 2015-06-11 Alberto Sirlin , Andrea Ferroglia

Numerical homogenization methods aim at providing appropriate coarse-scale approximations of solutions to (elliptic) partial differential equations that involve highly oscillatory coefficients. The localized orthogonal decomposition (LOD)…

Numerical Analysis · Mathematics 2026-02-13 Mehdi Elasmi , Felix Krumbiegel , Roland Maier

Recently exact results for the complete fermionic two-loop contributions to the prediction for the W-boson mass from muon decay in the electroweak Standard Model have been published [hep-ph/0007091]. This paper illustrates the techniques…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Freitas , W. Hollik , W. Walter , G. Weiglein

This dissertation addresses a topic that I have worked on over the past decade: the automation of next-to-leading order electroweak corrections in the Standard Model of particle physics. After introducing the basic concepts and techniques…

High Energy Physics - Phenomenology · Physics 2025-01-17 Hua-Sheng Shao

Systematic errors are inevitable in most measurements performed in real life because of imperfect measurement devices. Reducing systematic errors is crucial to ensuring the accuracy and reliability of measurement results. To this end,…

Quantum Physics · Physics 2017-06-29 Zhibo Hou , Huangjun Zhu , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

We present results for the complete one-loop electroweak logarithmic corrections for general processes at high energies and fixed angles. Our results are applicable to arbitrary matrix elements that are not mass-suppressed. We give explicit…

High Energy Physics - Phenomenology · Physics 2011-09-13 Ansgar Denner , Stefano Pozzorini

Motivated by the results of the electroweak precision experiments, studies of two-loop self-energy Feynman diagrams are performed. An algebraic method for the reduction of all two-loop self-energies to a set of standard scalar integrals is…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Bauberger , F. A. Berends , M. Böhm , M. Buza , G. Weiglein

The one-loop correction and two-loop contribution to black-body radiation (BBR) shift are restudied. The S-matrix approach and nonrelativistic quantum electrodynamics (NRQED) are adopted in finite temperature case. The relativistic…

Atomic Physics · Physics 2017-05-24 Wanping Zhou , Xuesong Mei , Haoxue Qiao

We discuss an algorithm for the numerical evaluation of NLO multiparton processes. We focus hereby on the virtual part of the NLO calculation, i.e. on evaluating the one-loop integration numerically. We employ and extend the ideas of the…

High Energy Physics - Phenomenology · Physics 2012-09-14 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

We evaluate dominant two-loop corrections to the triple Higgs coupling and strength of a first-order electroweak phase transition in the inert Higgs doublet model. It is found that sunset diagrams can predominantly enhance the former and…

High Energy Physics - Phenomenology · Physics 2019-10-02 Eibun Senaha

In order to meet the precision requirements for the LHC and future colliders, next-to-next-to-leading order corrections to a wide range of processes are essential, making general automated tools highly desirable. Extending the strategy of…

High Energy Physics - Phenomenology · Physics 2026-03-09 Fabian Lange , Max F. Zoller

Electromigration, a significant lifetime reliability concern in highperformance integrated circuits, is projected to grow even more important in future heterogeneously integrated systems that will service higher current loads. Today, EM…

Hardware Architecture · Computer Science 2026-03-17 Sachin S. Sapatnekar

In a previous paper a new approach has been introduced for computing, recursively and numerically, one-loop tensor integrals. Here we describe a few modifications of the original method that allow a more efficient numerical implementation…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Pittau

We review the current status of perturbative corrections in QCD at four loops for scattering processes with space- and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation.…

High Energy Physics - Phenomenology · Physics 2021-04-19 S. Moch , V. Magerya

In this proceeding, we highlight the computation of leading fermionic three-loop corrections to electroweak precision observables (EWPOs) accomplished recently. We summarize the numerical analysis and provide an outlook.

High Energy Physics - Phenomenology · Physics 2021-11-02 Lisong Chen , Ayres Freitas

In the supersymmetric extension of the Standard Model we derive the two-loop QCD corrections to the scalar quark contributions to the electroweak precision observables entering via the rho parameter. A very compact expression is derived for…

High Energy Physics - Phenomenology · Physics 2009-07-09 A. Djouadi , P. Gambino , S. Heinemeyer , W. Hollik , C. Jünger , G. Weiglein

We calculate one loop contributions to $\Gamma(h \rightarrow \gamma \, \gamma)$ from higher dimensional operators, in the Standard Model Effective Field Theory (SMEFT). Some technical challenges related to determining Electroweak one loop…

High Energy Physics - Phenomenology · Physics 2017-07-12 Christine Hartmann , Michael Trott