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We study the scheme dependence of the two-loop expression for the $\rho$-parameter of the Standard Model in the heavy $t$-quark mass limit $m_{t} \gg m_{w}$. In the $\ms$-scheme the two-loop electroweak correction to the ${\cal…

High Energy Physics - Phenomenology · Physics 2009-12-30 A. I. Bochkarev , R. S. Willey

We study electroweak parameters sensitive to the radiative corrections, such as $\rho$-ratio and $\hff$ decay rates in the $\ms$-scheme in the heavy $t$-quark mass limit $m_{t} \gg m_{w}$. In $\ms$-scheme the two-loop electroweak…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. I. Bochkarev , R. S. Willey

We discuss the effects of QCD corrections to the on-shell decay $t \to b W$. We resolve the scale ambiguity using the Brodsky-Lepage-Mackenzie scheme, and find that the appropriate coupling constant is $\alpha_{s}^{ \overline{MS}}…

High Energy Physics - Phenomenology · Physics 2009-10-28 Brian H. Smith , M. B. Voloshin

A combination of algebraical and numerical techniques for calculating two-loop top-quark and Higgs-boson corrections to electroweak precision observables like $\Delta r$ or the $\rho$-parameter is presented. The renormalization is performed…

High Energy Physics - Phenomenology · Physics 2011-03-02 S. Bauberger , G. Weiglein

We calculate the electroweak and finite width corrections to the decay of an unpolarized top quark into a bottom quark and a $ W $-gauge boson where the helicities of the $ W $ are specified as longitudinal, transverse-plus and…

High Energy Physics - Phenomenology · Physics 2011-03-23 H. S. Do , S. Groote , J. G. Körner , M. C. Mauser

Within the framework of the MSSM, we compute the electroweak one-loop supersymmetric quantum corrections to the width $\Gamma (t\rightarrow W^{+}\, b)$ of the canonical main decay of the top quark. The results are presented in two on-shell…

High Energy Physics - Phenomenology · Physics 2011-07-18 David Garcia , Ricardo A. Jimenez , Joan SOLA , Wolfgang Hollik

We calculate the leading-logarithmic and next-to-leading-logarithmic electroweak corrections to the charm-top-quark contribution to the effective $|\Delta S| = 2$ Lagrangian, relevant for the parameter $\epsilon_K$. We find that these…

High Energy Physics - Phenomenology · Physics 2022-12-12 Joachim Brod , Sandra Kvedaraite , Zachary Polonsky , Ahmed Youssef

The three-loop QCD contributions to the vacuum polarization functions of the $Z$ and $W$ bosons at zero momentum are calculated. The top quark is considered to be massive and the other quarks massless. Using these results, we calculate the…

High Energy Physics - Phenomenology · Physics 2011-01-13 L. Avdeev , J. Fleischer , S. Mikhailov , O. Tarasov

A critical assessment of the available calculations of the top quark width is presented. QCD corrections, the finite mass of the $b$ quark and the effect of the $W$ width are included as well as the electroweak corrections. The relative…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Jeżabek , J. H. Kühn

Precision determinations of the top-quark mass require theory predictions with a well-defined mass parameter in a given renormalization scheme. The top-quark's running mass in the MSbar scheme can be extracted with good precision from the…

High Energy Physics - Phenomenology · Physics 2014-08-27 S. Moch

We present the prediction of the electroweak $\rho$ parameter and the $W$ boson mass in the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) at the two-loop order. The $\rho$ parameter is calculated at the…

High Energy Physics - Phenomenology · Physics 2023-08-09 Thi Nhung Dao , Martin Gabelmann , M. Margarete Mühlleitner

We point out that, contrary to some recent claims, there is no intrinsic long-distance uncertainty in perturbative calculation of the QCD effects in the $t \tb$ and $t \bb$ loops giving the electroweak corrections proportional to $m_t^2$.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Brian H. Smith , M. B. Voloshin

A review is given on the quantum correction $\Delta r$ in the $W$--$Z$ mass correlation at the electroweak two-loop level, as derived from the calculation of the muon lifetime in the Standard Model. Exact results for $\Delta r$ and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Freitas , S. Heinemeyer , W. Hollik , W. Walter , G. Weiglein

We assess the impact of the very recent measurement of the top-quark mass by the CMS Collaboration on the fit of electroweak data in the Standard Model and beyond, with particular emphasis on the prediction for the mass of the W boson. We…

High Energy Physics - Phenomenology · Physics 2023-01-04 J. de Blas , M. Pierini , L. Reina , L. Silvestrini

At present and future hadron colliders, the precision physics program started in the past will be continued. In particular, a precise determination of the W boson mass will be carried out. This requires the calculation of the radiative…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. M. Carloni Calame , G. Montagna , O. Nicrosini , M. Treccani

The top-quark mass can be determined with very high precision from a scan of the total $e^+e^-\to b\bar{b}W^+W^-X$ cross section near the top-pair production threshold. We present the full calculation of electroweak and non-resonant…

High Energy Physics - Phenomenology · Physics 2017-11-03 Martin Beneke , Andreas Maier , Thomas Rauh , Pedro Ruiz-Femenía

We study the incorporation of QCD effects in the basic electroweak corrections \drcar, \drcarw, and \dr. They include perturbative \Ord{\alpha\alpha_s} contributions and $t\bar{t}$ threshold effects. The latter are studied in the resonance…

High Energy Physics - Phenomenology · Physics 2016-09-01 Sergio Fanchiotti , Bernd Kniehl , Alberto Sirlin

We calculate the two-loop QCD correction to the scalar quark contributions to the electroweak gauge-boson self-energies at zero momentum-transfer in the supersymmetric extension of the Standard Model. We then derive the $O(\alpha_s)$…

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

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

The agreement of electroweak measurements with theory places limits on the masses of the top quark and the $W$ boson. It is shown how these limits arise and what constraints various measurements (particularly a top quark mass determination)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jonathan L. Rosner
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