Collider signals of $W'$ and $Z'$ bosons in the gauge-Higgs unification

Shuichiro Funatsu; Hisaki Hatanaka; Yutaka Hosotani; Yuta Orikasa

doi:10.1103/PhysRevD.95.035032

paper

Collider signals of $W^{'}$ and $Z^{'}$ bosons in the gauge-Higgs unification

arXiv:1612.03378 · doi:10.1103/PhysRevD.95.035032

Abstract

In the $S O (5) \times U (1)$ gauge-Higgs unification (GHU), Kaluza-Klein (KK) excited states of charged and neutral vector bosons, $W^{(1)}$ , $W_{R}^{(1)}$ , $Z^{(1)}$ , $γ^{(1)}$ and $Z_{R}^{(1)}$ , can be observed as $W^{'}$ and $Z^{'}$ signals in collider experiments. In this paper we evaluate the decay rates of the $W^{'}$ and $Z^{'}$ , and $s$ -channel cross sections mediated by $W^{'}$ and $Z^{'}$ bosons with final states involving the standard model (SM) fermion pair ( $ℓ ν$ , $ℓ ℓ ˉ$ , $q q ˉ^{'}$ ), $W H$ , $Z H$ , $W W$ and $W Z$ . $W^{'}$ and $Z^{'}$ resonances appear around 6.0 TeV (8.5 TeV) for $θ_{H} = 0.115$ (0.0737) where $θ_{H}$ is the Aharonov-Bohm phase in the fifth dimension in GHU. For decay rates we find $Γ (W^{'} \to W H) ≃ Γ (W^{'} \to W Z)$ ( $W^{'} = W^{(1)}$ , $W_{R}^{(1)}$ ), $Γ (W^{(1)} \to W H, W Z) \sim Γ (W_{R}^{(1)} \to W H, W Z)$ , $Γ (Z^{(1)} \to Z H) ≃ \sum_{Z^{'} = Z^{(1)}, γ^{(1)}} Γ (Z^{'} \to W W)$ , and $Γ (Z_{R}^{(1)} \to Z H) ≃ Γ (Z_{R}^{(1)} \to W W)$ . $W^{'}$ and $Z^{'}$ signals of GHU can be best found at the LHC experiment in the processes $pp \to W^{'} (Z^{'}) + X$ followed by $W^{'} \to t b ˉ$ , $W H$ , and $Z^{'} \to e^{+} e^{-}$ , $μ^{+} μ^{-}, Z H$ . For the lighter $Z^{'}$ ( $θ_{H} = 0.115$ ) case, with forthcoming 30 fb $^{- 1}$ data of the 13 TeV LHC experiment we expect about ten $μ^{+} μ^{-}$ events for the invariant mass range 3 to 7 TeV, though the number of the events becomes much smaller when $θ_{H} = 0.0737$ . In the process with $W Z$ in the final state, it is confirmed that the unitarity is preserved, provided that all KK excited intermediate states are taken into account. Deviation of the $W W Z$ coupling from the SM is very tiny. Exotic partners $t_{T}^{(1)}$ and $b_{Y}^{(1)}$ of the top and bottom quarks with electric charge $+ 5/3$ and $- 4/3$ have mass $M_{t_{T}^{(1)}, b_{Y}^{(1)}} ≃ 4 - 5$ TeV, becoming the lightest non-SM particles in GHU which can be singly produced in collider experiments.

arXiv comment66 pages, 10 figures, 18 tables (v2) typos corrected, reference added (v3) comments added (v4) match the published version

Collider signals of $W^{'}$ and $Z^{'}$ bosons in the gauge-Higgs unification

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Collider signals of $W^{'}$ and $Z^{'}$ bosons in the gauge-Higgs unification