Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-11-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, figures are available by fax from H. Dreiner at dreiner@itp.phys.ethz.ch or dreiner@itp.ucsb.edu
Scientific paper
We present the complete 2-loop renormalization group equations of the supersymmetric standard model. We thus explicitly include the full set of $R $-parity violating couplings, including $\kappa_iL_iH_2$. We use these equations to do a first study of $(a)$ gauge coupling unification, $(b)$ bottom-tau unification, $(c)$ the fixpoint structure of the top quark Yukawa coupling, and (d) two-loop bounds from perturbative unification. We find significant shifts which can be larger than the effect from the top quark Yukawa coupling. The value of $\alpha_3(M_Z)$ can change by $\pm5\%$. The $\tan\beta$ region for bottom-tau unification and for the top quark IR quasi fixed point structure is significantly increased. For heavy scalar fermion masses ${\cal{O}}(1\tev)$ the limits on the $\Delta L\not=0$ operators from perturbative unification are competitive with the indirect laboratory bounds. The two-loop correction to the bound on the $\Delta B\not=0$ opertor is $+15\% $.
Dreiner Herbi
Pois Heath
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