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Production of neutral MSSM Higgs bosons in $e^+e^-$ collisions: a complete 1-loop calculation

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 Added by ul
 Publication date 1995
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and research's language is English




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We present the first complete 1-loop diagrammatic calculation of the cross sections for the neutral Higgs production processes $e^+e^-ra Z^0h^0$ and $e^+e^-ra A^0h^0$ in the minimal supersymmetric standard model. We compare the results from the diagrammatic calculation with the corresponding ones of the simpler and compact effective potential approximation and discuss the typical size of the differences.



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% insert abstract here We study the production of 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 evaluate cross section of $h^0, H^0, A^0$ and $H^pm$ 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 $fb^{-1}$.
We calculate the cross sections for the production of Higgs particles in association with a photon in $e^+ e^-$ collisions, $e^+ e^- to gamma+$Higgs, allowing for the longitudinal polarization of the initial electron and positron beams. We consider the associated production of both the Standard Model Higgs boson, and the neutral CP-even and CP-odd Higgs particles of its minimal supersymmetric extension. Complete and compact analytical expressions are given, and the size of the cross sections is illustrated for energies which will be reached at future $e^+ e^-$ colliders.
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 $fb^{-1}$.
We examine the sensitivity of the angular distribution of the Higgs boson in the process of $e^+e^-to Z H$ and the total cross section in the minimal noncommutative standard model (mNCSM) framework to set lower limit on the noncommutative charactristic scale ($Lambda$). Contrary to the standard model case, in this process the Higgs boson tends to be emitted anisotropically in the transverse plane. Based on this fact, the profile likelihood ratio is used to set lower limit on $Lambda$. The lower limit is presented as a function of the integrated luminosity. We show that at the center-of-mass energy of 1.5 TeV and with 500 fb$^{-1}$ of data, the noncommutative characteristic energy scale $Lambda$ can be excluded up to 1.2 TeV.
We analyse the loop induced production of Higgs boson pairs at future high--energy $e^+e^-$ colliders, both in the Standard Model and in its minimal supersymmetric extension. The cross sections for Standard Model Higgs pair production through $W/Z$ boson loops, $ee ra H^0 H^0$, are rather small but the process could be visible for high enough luminosities, especially if longitudinal polarization is made available. In the Minimal Supersymmetric Standard Model, the corresponding processes of CP--even or CP--odd Higgs boson pair production, $ee ra hh, HH, Hh$ and $ee ra AA$ have smaller cross sections, in general. The additional contributions from chargino/neutralino and slepton loops are at the level of a few percent in most of the supersymmetric parameter space.
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