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The Standard Model can be defined quantitatively by running parameters in a mass-independent renormalization scheme at a fixed reference scale. We provide a set of simple interpolation formulas that give the fundamental Lagrangian…

High Energy Physics - Phenomenology · Physics 2023-02-08 Zamiul Alam , Stephen P. Martin

The parametrization of the oblique corrections through $S$, $T$, and $U$ -- later extended by $V$, $W$, and $X$ -- is a convenient way of comparing the predictions for various electroweak observables at the one-loop level between the…

High Energy Physics - Phenomenology · Physics 2024-07-09 Simonas Draukšas , Vytautas Dūdėnas , Luís Lavoura

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 the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the $\overline{\mathrm{MS}}$ scheme at full order ${\cal O}(\alpha^2)$ in the Standard Model. These enter as threshold…

High Energy Physics - Phenomenology · Physics 2015-05-06 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

Recent calculations have significantly decreased the scheme and residual scale dependence of basic radiative corrections of the Standard Electroweak Model. This leads to a theoretically accurate prediction of the W-boson mass M(W), as well…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Degrassi , P. Gambino , M. Passera , A. Sirlin

The cross-section for $\gamma\gamma\to W^+ W^-$ with arbitrary polarized photons and W bosons is calculated within the electroweak Standard Model including the complete virtual and soft-photonic ${\cal O}(\alpha)$ corrections. We present a…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier , R. Schuster

The complete O(\alpha) corrections including soft-photon bremsstrahlung to the process e^+ e^- -> W^+ W^- in the MSSM are calculated for on-shell W bosons. The relative difference between the MSSM and Standard Model corrections is generally…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hahn

In light of the recent discovery of the importance of the isovector EMC effect for the interpretation of the NuTeV determination of sin^2 theta_W, it seems timely to reassess the central value and the errors on this fundamental Standard…

Nuclear Theory · Physics 2014-11-20 W. Bentz , I. C. Cloet , J. T. Londergan , A. W. Thomas

We consider extensions of the Standard Model with neutral scalars in multiplets of $SU(2)$ larger than doublets. When those scalars acquire vacuum expectation values, the resulting masses of the gauge bosons $W^\pm$ and $Z^0$ are not…

High Energy Physics - Phenomenology · Physics 2022-07-27 Francisco Albergaria , Luís Lavoura

Recently the CDF Collaboration has announced a new precise measurement of the $W$-boson mass $M_W$ that deviates from the Standard Model (SM) prediction by $7\sigma$. The discrepancy in $M_W$ is about $\Delta_W\simeq70$ MeV and probably…

High Energy Physics - Phenomenology · Physics 2022-11-29 S. S. Afonin

We discuss the renormalization of the electric charge at the two-loop level in the Standard Model of the electroweak interactions. We explicitly calculate the expression of the complete on-shell two-loop counterterm using the Background…

High Energy Physics - Phenomenology · Physics 2009-11-10 Giuseppe Degrassi , Alessandro Vicini

The complete calculation of the 2-loop electroweak corrections to the renormalization of the electric charge in the Standard Model allows to discuss in detail the value of the MSbar effective coupling $\hat e(m_Z)$. We discuss the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alessandro Vicini

The presently most accurate prediction for the W-boson mass in the Standard Model is obtained by combining the complete two-loop result with the known higher-order QCD and electroweak corrections. The numerical impact of the different…

High Energy Physics - Phenomenology · Physics 2021-11-09 M. Awramik , M. Czakon , A. Freitas , G. Weiglein

We systematically analyze the anomalous dipole $\Delta k_{\gamma}$ and quadrupole $\Delta Q_{\gamma}$ moments of the W gauge bosons in the context of the minimal supersymmetric standard model as functions of the soft SUSY breaking…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. B. Lahanas , V. C. Spanos

We have examined the electroweak radiative corrections in the LEP precision data in view of the new measurements of $M_W$ and $m_t$ as well as the recent progress in the higher order radiative corrections. From the minimal $\chi^2$-fit to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kyungsik Kang , Sin Kyu Kang

The weak mixing angle $s_W$ is a fundamental constant in the Standard Model (SM) and measured at the $Z$ boson mass to be $\widehat{s}^2_W(m_Z) = 0.23129 \pm 0.00004$ in the $\overline{\rm MS}$ renormalization scheme, where $m_Z=91.2\…

High Energy Physics - Phenomenology · Physics 2025-09-24 Qiaofeng Liu , Ian Low , Zhewei Yin

The implications of recent precision $Z$-pole, $W$ mass, and weak neutral current data for testing the standard electroweak model, constraining the $t$ quark and Higgs masses, \alsz, and grand unification are discussed. A fit to all data…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Langacker

We present the currently most accurate evaluation of the W boson mass, M_W, in the Minimal Supersymmetric Standard Model (MSSM). The full complex phase dependence at the one-loop level, all available MSSM two-loop corrections as well as the…

High Energy Physics - Phenomenology · Physics 2010-02-03 S. Heinemeyer , W. Hollik , D. Stockinger , A. M. Weber , G. Weiglein

We present a consistent renormalization scheme for the CP-conserving Two-Higgs-Doublet Model based on $\overline{MS}$ renormalization of the mixing angles and the soft-$Z_2$-symmetry-breaking scale $M_{sb}$ in the Higgs sector. This scheme…

High Energy Physics - Phenomenology · Physics 2016-09-27 Ansgar Denner , Laura Jenniches , Jean-Nicolas Lang , Christian Sturm

The cross-section for W^+W^- \to W^+W^- with arbitrarily polarized W bosons is calculated within the Electroweak Standard Model including the complete virtual and soft-photonic O(alpha) corrections. We show the numerical importance of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , T. Hahn
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