Oblique corrections in general dark $U(1)$ models

Abstract

We investigate the impact of dark Abelian gauge bosons on the electroweak precision measurements at the one-loop level. The dark gauge boson couples to the standard model fermions generally via two kinds of mixing with the electroweak gauge bosons: the kinetic mixing and the mass mixing. We solve the Schwinger-Dyson equation for the gauge boson propagators and derive a renormalization scheme-independent representation of the scattering amplitudes for four-fermion processes, including the full oblique corrections. We define the running parameters at the one-loop level and show that the leading new physics effects, including the mixing, in the electroweak precision observables can be described by the oblique parameters $S$, $T$, and $U$ as in the standard electroweak gauge theory when the new physics scale is sufficiently high and the dark gauge boson mass lies away from the $Z$ pole. We consider the dark doublet scalar boson as an example and numerically show that a novel one-loop effect can drastically change the parameter region allowed by the electroweak precision tests.

41 pages, 3 figures, version published in JHEP

References in corpus (31)

• Precision Electroweak Measurements on the Z Resonance
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• Illuminating Dark Photons with High-Energy Colliders
• "Dark" Z implications for Parity Violation, Rare Meson Decays, and Higgs Physics
• The Minimal Set of Electroweak Precision Parameters
• Muon g-2, Rare Kaon Decays, and Parity Violation from Dark Bosons
• Electroweak precision observables and Higgs-boson signal strengths in the Standard Model and beyond: present and future
• A Twisted Custodial Symmetry in the Two-Higgs-Doublet Model
• Muon Anomaly and Dark Parity Violation
• Physics Impact of GigaZ
• Higgs Decays as a Window into the Dark Sector
• Renormalization of mixing angles
• $B$-meson anomalies and Higgs physics in flavored $U(1{)}^{\prime }$ model
• A Model of Vector-like Leptons for the Muon $g-2$ and the $W$ Boson Mass
• Low Q^2 Weak Mixing Angle Measurements and Rare Higgs Decays
• Unconventional phenomenology of a minimal two-Higgs-doublet model
• Dark Two Higgs Doublet Model
• Dark photon kinetic mixing effects for the CDF W-mass measurement
• Dark photon and dark $Z$ mediated $B$ meson decays
• Constraints on the dark photon from parity violation and the $W$ mass
• Constraints on the Parameter Space in an Inert Doublet Model with two Active Doublets
• Searching for new physics effects in future $W$ mass and ${\sin }^2{\theta }_W(Q^2)$ determinations
• Dark Z at the International Linear Collider
• Dark showers from Z-dark Z' mixing
• Charged Higgs Discovery in the W plus "Dark" Vector Boson Decay Mode
• Classes of complete dark photon models constrained by Z-Physics
• Dark $Z$ Implication for Flavor Physics
• Gauge-Independent Approach to Resonant Dark Matter Annihilation
• Exploring dark $Z_d$-boson in future Large Hadron-electron collider
• Oblique corrections when $m_W\ne m_Z\cos {\theta }_W$ at tree level
• Dark Z-mediated dark matter with verifiable exotic scalars