Pole mass of the W boson at two-loop order in the pure MS-bar scheme

Abstract

I provide a calculation at full two-loop order of the complex pole squared mass of the W boson in the Standard Model in the pure MS-bar renormalization scheme, with Goldstone boson mass effects resummed. This approach is an alternative to earlier ones that use on-shell or hybrid renormalization schemes. The renormalization scale dependence of the real and imaginary parts of the resulting pole mass are studied. Both deviate by about $\pm 4$ MeV from their median values as the renormalization scale is varied from 50 GeV to 200 GeV, but the theory error is likely larger. A surprising feature of this scheme is that the 2-loop QCD correction has a larger scale-dependence, but a smaller magnitude, than the 2-loop non-QCD correction, unless the renormalization scale is chosen very far from the top-quark mass.

arXiv comment17 pages. v2: benchmark input parameters changed, reference added

References in corpus (53)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Investigating the near-criticality of the Higgs boson
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• Precise Prediction for the W-Boson Mass in the Standard Model
• Measurement of the Higgs boson mass from the $H\to \gamma \gamma$ and $H\to Z{Z}^{\ast }\to 4\ell$ channels with the ATLAS detector using 25 fb${}^{-1}$ of $pp$ collision data
• The Standard Model Effective Potential at Two Loops
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• Electroweak gauge bosons self--energies: complete QCD corrections
• The Nielsen Identities of the SM and the definition of mass
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff
• TSIL: a program for the calculation of two-loop self-energy integrals
• Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model
• MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections
• QCD Corrections from Top Quark to Relations between Electroweak Parameters to Order ${\alpha }_s^2$
• Complete fermionic two-loop results for the M_W-M_Z interdependence
• Yukawa coupling beta-functions in the Standard Model at three loops
• Taming Infrared Divergences in the Effective Potential
• Three Loop Top Quark Contributions to the rho Parameter
• Higgs self-coupling beta-function in the Standard Model at three loops
• Taming the Goldstone contributions to the effective potential
• Two-loop heavy top effects on the MZ-MW interdependence
• β-function for the Higgs self-interaction in the Standard Model at three-loop level
• Evaluation of two-loop self-energy basis integrals using differential equations
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• TARCER - A Mathematica program for the reduction of two-loop propagator integrals
• Four-Loop QCD Corrections to the Rho Parameter
• Two-loop scalar self-energies in a general renormalizable theory at leading order in gauge couplings
• Complete Two Loop Bosonic Contributions to the Muon Lifetime in the Standard Model
• Complete Two Loop Electroweak Contributions to the Muon Lifetime in the Standard Model
• Two-Loop Bosonic Electroweak Corrections to the Muon Lifetime and M_Z-M_W Interdependence
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• The Perturbative Pole Mass in QCD
• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses
• Bosonic Corrections to $\Delta r$ at the Two Loop Level
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• The Role of M(W) in Precision Studies of the Standard Model
• Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
• Threshold and pseudothreshold values of the sunset diagram
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Two-loop electroweak threshold corrections in the Standard Model
• Radiative Corrections to W and Quark Propagators in the Resonance Region
• Higgs boson mass in the Standard Model at two-loop order and beyond
• Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations
• Analysis of the Z^0 Resonant Amplitude in General R_ξGauges
• The Pseudothreshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes
• The Threshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes
• Numerical evaluation of the general massive 2-loop 4-denominator self-mass master integral from differential equations
• Radiative Corrections to W and Quark Propagators in the Resonance Region

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