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We present the first benchmark evaluation of the two-loop finite remainders for the production of a top-quark pair in association with a jet at hadron colliders in the gluon channel. We work in the leading colour approximation, and perform…

High Energy Physics - Phenomenology · Physics 2025-03-14 Simon Badger , Matteo Becchetti , Colomba Brancaccio , Heribertus Bayu Hartanto , Simone Zoia

For certain dimensionally-regulated massive two- and three-loop propagator-type diagrams the higher order epsilon-expansion is constructed.

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Yu. Kalmykov

We compute a complete set of independent leading-color two-loop five-parton amplitudes in QCD. These constitute a fundamental ingredient for the next-to-next-to-leading order QCD corrections to three-jet production at hadron colliders. We…

High Energy Physics - Phenomenology · Physics 2019-04-09 S. Abreu , F. Febres Cordero , H. Ita , B. Page , V. Sotnikov

We revisit the contributions of order $\alpha^2(Z\alpha)^5m$ and $\alpha^2(Z\alpha)E_F$, respectively, to the Lamb shift and to the hyperfine splitting from mixed self-energy-vacuum-polarization diagrams, involving fermionic loop. We use…

High Energy Physics - Phenomenology · Physics 2023-08-16 Petr A. Krachkov , Roman N. Lee

We propose a new set of Master Integrals which can be used as a basis for certain multiloop calculations in massless gauge field theories. In these theories we consider three-point Feynman diagrams with arbitrary number of loops. The…

High Energy Physics - Theory · Physics 2016-11-29 Julio Borja , Igor Kondrashuk

The increasing accuracy of current and planned experiments to measure the anomalous magnetic moment of the muon requires more precision and reliability of its theoretical calculation. For this purpose, we calculate the differential cross…

High Energy Physics - Phenomenology · Physics 2023-08-21 V. S. Fadin , R. N. Lee

We present the results for two-loop massive kite master integrals with elliptics in terms of iterated integrals with algebraic kernels. The key ingredients are new integral representations for sunset subgraphs in $d=4-2\epsilon$ and…

High Energy Physics - Phenomenology · Physics 2021-02-24 M. A. Bezuglov , A. I. Onishchenko , O. L. Veretin

We review the current state of experimental knowledge on double ccbar production in e+e- annihilation. The large cross-sections (O(20 fb)) for e+e- -> gamma* -> psi(') ccbar_{res} processes have been confirmed by detailed tests and…

High Energy Physics - Experiment · Physics 2011-06-15 B. D. Yabsley

We consider the Coulomb correction (CC) to the $e^+e^-$ pair production related to multiphoton exchange of the produced $e^{\pm}$ with nuclei. The contribution of CC to the energy distribution of $e^+$ and $e^-$ as well as to the total pair…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Yu. Ivanov , A. Schiller , V. G. Serbo

Longitudinal polarizations of different kinds of hyperons produced in e+e- annihilation at LEP I and LEP II energies in different event samples are calculated using two different pictures for the spin structure of hyperon: that drawn from…

High Energy Physics - Phenomenology · Physics 2009-10-31 Chun-xiu Liu , Zuo-tang Liang

We present the calculation of all non-planar master integrals that are needed to describe production of two off-shell vector bosons in collisions of two massless partons through NNLO in perturbative QCD. The integrals are computed…

High Energy Physics - Phenomenology · Physics 2015-06-19 Fabrizio Caola , Johannes M. Henn , Kirill Melnikov , Vladimir A. Smirnov

I present the two-loop QCD corrections to the production of a massive quark-anti-quark pair in the massless quark-anti-quark annihilation channel. The result is obtained as a combination of a deep expansion in the mass around the high…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Czakon

The appears to exist no detailed calculation of the multiphoton trident process e + n omega_0 -> e' + e+e-, which can occur during the interaction of an electron beam with an intense laser beam. We present a calculation in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Bula , K. T. McDonald

We present analytical formulas for the calculation of the two-center two-electron integrals in the basis of Slater geminals and products of Slater orbitals. Our derivation starts with establishing a inhomogeneous fourth-order ordinary…

Quantum Physics · Physics 2012-12-07 Michał Lesiuk , Robert Moszynski

The excitation curve for the $\tau^+ \, \tau^-$ production in electron positron annihilation near the threshold is revisited with the aim of updating and extending a previous work. We find that the corrections of the relative magnitude…

High Energy Physics - Phenomenology · Physics 2009-10-22 Brian H. Smith , M. B. Voloshin

The contribution of lepton and photon pair production in ep-scattering to the cross section of semi-inclusive deep inelastic scattering ep-> e'p'X has been calculated. The numerical results showed a large contribution of this processes at…

High Energy Physics - Phenomenology · Physics 2013-12-03 A. Ilyichev , M. Osipenko

The Drell-Yan production of charged lepton pairs is one of the key processes measured at hadron colliders. The QCD corrections to the cross section are known to order $\alpha_s^2$ and electroweak corrections are known to order $\alpha$. The…

High Energy Physics - Phenomenology · Physics 2019-12-20 Matthias Heller , Andreas von Manteuffel , Robert M. Schabinger , Hubert Spiesberger

One-loop contributions of super-partner particles to $W$-pair production at $e^+e^-$ collision are discussed in the MSSM. To obtain trustworthy results we test our calculation using three methods: (1) sum rules among form factors which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kaoru Hagiwara , Shinya Kanemura , Yoshiaki Umeda

The three-loop form factors in massless QCD can be expressed as a linear combination of master integrals. Besides a number of master integrals which factorise into products of one-loop and two-loop integrals, one finds 16 genuine three-loop…

High Energy Physics - Phenomenology · Physics 2010-04-05 T. Gehrmann , G. Heinrich , T. Huber , C. Studerus

In this letter we present a high-precision evaluation of the expansions in eps=(3-d)/2 of (up to) four-loop scalar vacuum master integrals, using the method of difference equations developed by Laporta. We cover the complete set of fully…

High Energy Physics - Phenomenology · Physics 2016-09-06 Y. Schroder , A. Vuorinen
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