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Register a new userThe Triple Higgs Boson Self-Coupling at Future Linear e+e- Colliders Energies: ILC and CLIC
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Alejandro Gutierrez-Rodriguez
Publication date
2008
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English
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We analyzed the triple Higgs boson self-coupling at future $e^{+}e^{-}$ colliders energies, with the reactions $e^{+}e^{-}to b bar b HH, t bar t HH$. We evaluate the total cross-sections for both $bbar bHH$ and $tbar tHH$, and calculate the total number of events considering the complete set of Feynman diagrams at tree-level. We vary the triple coupling $kappalambda_{3H}$ within the range $kappa=-1$ and +2. The numerical computation is done for the energies expected to be available at a possible Future Linear $e^{+}e^{-}$ Collider with a center-of-mass energy $800, 1000, 1500$ $GeV$ and a luminosity 1000 $fb^{-1}$. Our analysis is also extended to a center-of-mass energy 3 $TeV$ and luminosities of 1000 $fb^{-1}$ and 5000 $fb^{-1}$. We found that for the process $e^{+}e^{-}to b bar b HH$, the complete calculation differs only by 3% from the approximate calculation $e^{+}e^{-}to ZHH(Zto bbar b)$, while for the process $e^{+}e^{-}to t bar tHH$, the expected number of events, considering the decay products of both $t$ and $H$, is not enough to obtain an accurate determination of the triple Higgs boson self-coupling.
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We study the triple Higgs self-coupling at future $e^{+}e^{-}$ colliders energies, with the reactions $e^{+}e^{-}to b bar b HH$ and $e^{+}e^{-}to t bar t HH$. We evaluate the total cross section of $bbar bHH$, $tbar tHH$ and calculate the total number of events considering the complete set of Feynman diagrams at tree-level. The sensitivity of the triple Higgs coupling is considered in the Higgs mass range 110-190 $GeV$, for the energy which is expected to be available at a possible Next Linear $e^{+}e^{-}$ Collider with a center-of-mass energy $800, 1000, 1500$ $GeV$ and luminosity 1000 $fb^{-1}$.
Standard Model Higgs pair production at e^+e^- colliders has the capability to determine the Higgs boson self-coupling lambda. I present a detailed analysis of the e^+e^- -> ZHH and e^+e^- -> ubar u HH signal channels, and the relevant background processes, for future e^+e^- linear colliders with center of mass energies of sqrt{s}=0.5 TeV, 1 TeV, and 3 TeV. Special attention is given to the role non-resonant Feynman diagrams play, and the theoretical uncertainties of signal and background cross sections. I also derive quantitative sensitivity limits for lambda. I find that an e^+e^- collider with sqrt{s}=0.5 TeV can place meaningful bounds on lambda only if the Higgs boson mass is relatively close to its current lower limit. At an e^+e^- collider with sqrt{s}=1 TeV (3 TeV), lambda can be determined with a precision of 20-80% (10-20%) for integrated luminosities in the few ab^{-1} range and Higgs boson masses in the range m_H=120-180 GeV.
For the search for additional Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM) as well as for future precision analyses in the Higgs sector a precise knowledge of their production properties is mandatory. We review the evaluation of the cross sections for the neutral Higgs boson production in association with a photon at future $e^+e^-$ colliders in the MSSM with complex parameters (cMSSM). The evaluation is based on a full one-loop calculation of the production mechanism $e^+e^- to h_i gamma$ ($i = 1,2,3$). The dependence of the lightest Higgs-boson production cross sections on the relevant cMSSM parameters is analyzed numerically. We find relatively small numerical depedences of the production cross sections on the underlying parameters.
In gauge-Higgs unification the 4D Higgs boson appears as a part of the fifth dimensional component of gauge potentials, namely as a fluctuation mode of the Aharonov-Bohm phase in the extra dimension. The $SO(5) times U(1) times SU(3)$ gauge-Higgs unification gives nearly the same phenomenology as the standard model (SM) at low energies. It predicts KK excited states of photon, $Z $ boson, and $Z_R$ boson ($Z$ bosons) around 7 - 8 TeV. Quarks and leptons couple to these $Z$ bosons with large parity violation, which leads to distinct interference effects in $e^+ e^- rightarrow mu^+ mu^-, q , bar q$ processes. At 250 GeV ILC with polarized electron beams, deviation from SM can be seen at the 3 - 5 sigma level even with 250 fb$^{-1}$ data, namely in the early stage of ILC. Signals become stronger at higher energies. Precision measurements of interference effects at electron-positron colliders at energies above 250 GeV become very important to explore physics beyond the standard model.
We investigate the possibility of detecting the Higgs bosons predicted in the Minimal Supersymmetric extension of the Standard Model $(h^0, H^0, A^0, H^pm)$, with the reactions $e^{+}e^{-}to bbar b h^0 (H^0, A^0)$, and $e^+e^-to tau^-bar u_tau H^+, tau^+ u_tau H^-$, using the helicity formalism. We analyze the region of parameter space $(m_{A^0}-tanbeta)$ where $h^0, H^0, A^0$ and $H^pm$ could be detected in the limit when $tanbeta$ is large. The numerical computation is done considering two stages of a possible Next Linear $e^{+}e^{-}$ Collider: the first with $sqrt{s}=500$ $GeV$ and design luminosity 50 $fb^{-1}$, and the second with $sqrt{s}=1$ $TeV$ and luminosity 100-200 $fb^{-1}$.
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