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The precise measurement of the W boson mass is closely related to the contributions of new physics (NP), which can significantly constrain the parameter space of NP models, particularly those with an additional $U(1)$ local gauge group. The inclusion of a new $Z'$ gauge boson and gauge couplings in these models can contribute to the oblique parameters $S$, $T$, $U$ and the W boson mass at tree level. Taking into account the effects of kinetic mixing, in this study we calculate and analyze the oblique parameters $S$, $T$, $U$ and the W boson mass in such NP models. It is found that the kinetic mixing effects can make significant contributions to the W boson mass, which can be then made to accommodate the recently measured value at CDF II or ATLAS by choosing appropriate values of gauge coupling constants and extra $U(1)$ group charges of leptons or scalar doublets. In addition, if the leptonic Yukawa couplings are invariant under the extra $U(1)$ local gauge group, these contributions can be eliminated by redefining the gauge boson fields through eliminating the neutral currents involving charged leptons, even with nonzero kinetic mixing effects. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.
The precise measurement of the W boson mass is closely related to the contributions of new physics (NP), which can significantly constrain the parameter space of NP models, particularly those with an additional $U(1)$ local gauge group. The inclusion of a new $Z'$ gauge boson and gauge couplings in these models can contribute to the oblique parameters $S$, $T$, $U$ and the W boson mass at tree level. Taking into account the effects of kinetic mixing, in this study we calculate and analyze the oblique parameters $S$, $T$, $U$ and the W boson mass in such NP models. It is found that the kinetic mixing effects can make significant contributions to the W boson mass, which can be then made to accommodate the recently measured value at CDF II or ATLAS by choosing appropriate values of gauge coupling constants and extra $U(1)$ group charges of leptons or scalar doublets. In addition, if the leptonic Yukawa couplings are invariant under the extra $U(1)$ local gauge group, these contributions can be eliminated by redefining the gauge boson fields through eliminating the neutral currents involving charged leptons, even with nonzero kinetic mixing effects. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.
Multi-TeV muon colliders promise an unprecedented potential for exploring the particle-physics energy frontier, and, at the same time, can probe with fantastic accuracy the precise structure of the Standard Model, and in particular of the Higgs boson sector. Here we consider the possibility to measure the loop-suppressed single-, double-, triple-Higgs boson production mediated by the collinear-photon scattering in the channels $$\mu ^+\mu ^-\rightarrow \mu ^+\mu ^-\gamma ^*\gamma ^*\rightarrow \mu ^+\mu ^- \,[H,HH,HHH]$$ μ + μ - → μ + μ - γ ∗ γ ∗ → μ + μ - [ H , H H , H H H ] . We study total rates and kinematical distributions in the Standard Model, and compare them with the corresponding vector-boson-fusion processes $$V^*V^*\rightarrow H,HH,HHH$$ V ∗ V ∗ → H , H H , H H H at muon collisions center-of-mass energies 1.5 TeV"Equation missing" TeV. Possible strategies for enhancing the $$\gamma \gamma \rightarrow H,HH,HHH$$ γ γ → H , H H , H H H signal over the dominant vector-boson-fusion production are proposed. The sensitivity of total rates to possible anomalies in the Higgs-boson self-couplings is also discussed.
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