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We provide a detailed account of the methods and calculations for the third-order corrections to the S-wave Green function from heavy-quark potentials other than the Coulomb potential. The results of this paper are relevant to the…

High Energy Physics - Phenomenology · Physics 2024-09-11 M. Beneke , Y. Kiyo

This is the first in a series of papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e+ e- collisions. The present paper provides a detailed outline of the strategy of computation in the…

High Energy Physics - Phenomenology · Physics 2024-09-11 M. Beneke , Y. Kiyo , K. Schuller

We obtain analytic expressions for the third-order corrections due to the strong interaction Coulomb potential to the S-wave Green function, energy levels and wave functions at the origin for arbitrary principal quantum number n. Together…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , Y. Kiyo , K. Schuller

In this paper, we present an improved analysis of the top-quark pair production via the process $e^{+}e^{-}\to \gamma^{*}\to t\bar{t}$ near the threshold region up to next-to-next-to-next-to-leading order (N$^3$LO) QCD corrections. Near the…

High Energy Physics - Phenomenology · Physics 2024-04-25 Jiang Yan , Xing-Gang Wu , Zhi-Fei Wu , Jing-Hao Shan , Hua Zhou

The threshold scan of top pair production at a future lepton collider allows to determine several Standard Model parameters with very high precision. The recent completion of the third-order QCD corrections to the inclusive top-pair…

High Energy Physics - Phenomenology · Physics 2015-11-04 Martin Beneke , Andreas Maier , Jan Piclum , Thomas Rauh

The next-to-next-to-leading order (NNLO) QCD corrections to top quark threshold pair production in gamma-gamma collisions are computed. The NNLO effects turn out to be significant. Threshold cross sections in gamma-gamma and e+e- collisions…

High Energy Physics - Phenomenology · Physics 2014-11-17 Andrzej Czarnecki , Kirill Melnikov

The polarization dependent momentum distributions of top quarks and their decay products are calculated for $t\bar t$ production at future $e^+e^-$ colliders with polarized beams. The Green function formalism is applied to this reaction…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Harlander , M. Jeżabek , J. H. Kühn , T. Teubner

At hadron colliders, the leading production mechanism for a pair of photons is from quark-anti-quark annihilation at the tree level. However, due to large gluon-gluon luminosity, the loop-induced process $gg\to \gamma \gamma$ provides a…

High Energy Physics - Phenomenology · Physics 2019-10-16 Fabio Maltoni , Manoj K. Mandal , Xiaoran Zhao

We present an analytical description of top-antitop pair production near the threshold in $e^+e^-$ annihilation and $\g\g$ collisions. A set of basic observables considered includes the total cross sections, forward-backward asymmetry and…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Penin , A. A. Pivovarov

The production of W+ W- b bbar from e+ e- collisions at energies close to the t tbar threshold is dominated by the resonant process with a nearly on-shell t tbar intermediate state. The W b pairs in the final state can also be reached…

High Energy Physics - Phenomenology · Physics 2022-09-21 M. Beneke , B. Jantzen , P. Ruiz-Femenia

We calculate the cross section of the process e^+e^- \to t\bar t near threshold by resumming Coulomb-like terms with next-to-next-to-leading (NNLO) accuracy. The nonrelativistic Green function formalism and the method of ``direct matching''…

High Energy Physics - Phenomenology · Physics 2008-11-26 Oleg Yakovlev

We present the third-order QCD prediction for the production of top-anti-top quark pairs in electron-positron collisions close to the threshold in the dominant S-wave state. We observe a significant reduction of the theoretical uncertainty…

High Energy Physics - Phenomenology · Physics 2015-11-11 Martin Beneke , Yuichiro Kiyo , Peter Marquard , Jan Piclum , Alexander Penin , Matthias Steinhauser

The total cross section of the top quark-antiquark pair production near threshold in $\gamma\gamma$ collision is computed analytically up to the next-to-leading order in perturbative and nonrelativistic expansion for general photon…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Penin , A. A. Pivovarov

We consider top-anti-top production near threshold in $e^+ e^-$ collisions, resumming Coulomb-enhanced corrections at next-to-next-to-leading order (NNLO). We also sum potentially large logarithms of the small top quark velocity at the…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Beneke , A. Signer , V. A. Smirnov

We analyse subleading electroweak effects in the top anti-top resonance production region in e+ e- collisions which arise due to the decay of the top and anti-top quarks into the W+ W- b bbar final state. These are NLO corrections adopting…

High Energy Physics - Phenomenology · Physics 2010-08-24 M. Beneke , B. Jantzen , P. Ruiz-Femenia

We present new results on the NNNLO top-antitop production cross section near threshold from potential and ultrasoft gluon corrections. The new non-logarithmic third-order terms are in the 10% range and lead to a significant reduction in…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , Y. Kiyo , K. Schuller

Top quark polarization in $e^+e^-$ annihilation into $t\bar t$ is calculated for linearly polarized beams. The Green function formalism is applied to this reaction near threshold. The Lippmann--Schwinger equations for the $S$-wave and…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Harlander , M. Jezabek , J. H. Kuehn , M. Peter

An analysis of the cross section for hadronic production of gluino-squark pairs close to threshold is presented. Within the framework of non-relativistic QCD a significant enhancement compared to fixed order perturbation theory is observed…

High Energy Physics - Phenomenology · Physics 2015-05-30 Matthias R. Kauth , Achim Kress , Johann H. Kuhn

We compute the dominant term in the expansion in rho=1-M_W/m_t of the unknown next-to-next-to-leading order (NNLO) nonresonant contributions to the e+ e- -> W+ W- b bbar total cross section at energies close to the top-antitop threshold.…

High Energy Physics - Phenomenology · Physics 2014-05-14 Pedro Ruiz-Femenia

We analyse the subleading non-resonant contributions to the e+ e- -> W+ W- b bbar cross section at energies near the top-antitop threshold. These correspond to next-to-next-to-leading-order (NNLO) corrections with respect to the…

High Energy Physics - Phenomenology · Physics 2013-09-13 Bernd Jantzen , Pedro Ruiz-Femenía
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