One-Loop Corrections for Production of a Light neutral MSSM Higgs Boson with a Pair of Neutralinos at the e+e- Linear Collider

Seif, Shymaa. M.; Azim, Tarek. A.; Abdul-Magead, Ibrah. A.
July 2014
Australian Journal of Basic & Applied Sciences;Jul2014, Vol. 8 Issue 10, p52
Academic Journal
Background: Linear collider is a clean environment to search for supersymmetric particles such as neutralinos and in turn achieve the Minimal Supersymmetric Model (MSSM), since the mass of neutralinos is among the precision observables with lots of information on the SUSY-breaking structure. The relations between the particle masses and the SUSY parameters are important theoretical quantities for precision calculations. In view of the experimental prospects, it is inevitable to include higher-order terms in the calculation of the measured quantities in order to achieve theoretical predictions matching the experimental accuracy. Thus, one-loop calculations for our process are studied using the on-shell renormalization scheme. Objective: To study the lowest order and the one-loop corrections to the production of a light neutral minimal supersymmetric standard model Higgs boson (h0) with a pair of lightest neutralinos (χ 10) in e+e- collisions at the Linear Collider. Results: The one-loop correction increases the cross section by about 42% at √s = 500 GeV and this increase reaches 39% at √s = 2000 GeV. The Born cross section reaches its maximum value 8 × 10 -8 pb at √s = 1100 GeV, while the maximum value of the cross section for one-loop level is almost 1.1 × 10-7 pb at √s = 1100 GeV. The effects of the MSSM parameters on the calculations of the lightest neutralino χ 10 and neutral light Higgs boson h0, shows significant dependence on the considered parameters which in turn give a frame of searching for χ 10 and h0. Conclusion: The one-loop corrections to the lowest order show large contribution and improvement to the cross section values, where an important contribution coming from QED calculations that should be taken into account. The corrections are typically quite large; and therefore, one has to consider higher orders with a resummation of the leading terms to get precise results.


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