Abstract
Abstract We discuss, for the first time, the role of the superpotential couplings of three messenger fields in a GMSB-type unification model in which messenger sector consists of both 5+ $ \overline{5} $ and 10+ $ \overline{10} $ of SU(5). It turns out that these interactions are relevant when coexist with appropriate messenger-MSSM couplings. Then they induce extra contributions to 2-loop soft masses. In the present model, we derive all such soft terms and discuss constraints which have to be satisfied to avoid rapid proton decay and μ/B μ problem. As an example, it is shown how superpotential couplings of three messengers influence mass spectra when the model is restricted by additional global U(1) q symmetry. We find that masses of the lightest sleptons are the most sensitive to those new interactions, what in some cases results in the NLSP/NNLSP pattern in which stau or selectron is lighter than the lightest neutralino.
Highlights
That topic has been widely investigated from quite a long time in various settings, and it is well known that some of those couplings significantly change phenomenology of the usual GMSB models [9] because they generate additional 1- and 2-loop soft terms
They induce extra contributions to 2loop soft masses. We derive all such soft terms and discuss constraints which have to be satisfied to avoid rapid proton decay and μ/Bμ problem. It is shown how superpotential couplings of three messengers influence mass spectra when the model is restricted by additional global U(1)q symmetry
It is worthwhile to mention that the attractive feature of extended GMSB models is that they accommodate for large A-terms, and in some cases realize non-standard NLSP/NNLSP mass patterns with NLSP mass in the range that may be probed at the LHC [21]
Summary
The other two terms in (2.2) include messenger couplings to matter fields Φ = {H5, H5, φ5, φ10} i.e.5. Let us recall that in the extended GMSB models one usually considers only interactions of messengers Y and MSSM matter fields Φ of those two types listed above: (2.3) and (2.4).. HA do contribute to both 1-loop A-terms and 2-loop soft masses.. Φ,η contributions to soft masses of scalars Φ which are generated by marginal couplings of three messengers WYYY.
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