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Abstract
We perform a general analysis of the R-parity conserving dimension-five operators that can be present beyond the Minimal Supersymmetric Standard Model. Not all these operators are actually independent. We present a method which employs spurion-dependent field redefinitions that removes this “redundancy” and establishes the minimal, irreducible set of these dimension-five operators. Their potential effects on the MSSM Higgs sector are discussed to show that the tree level bound m h ⩽ m Z cannot be easily lifted within the approximations used, and quantum corrections are still needed to satisfy the LEPII bound. An ansatz is provided for the structure of the remaining couplings in the irreducible set of D = 5 operators, which avoids phenomenological constraints from flavor changing neutral currents. The minimal set of operators brings new couplings in the effective Lagrangian, notably “wrong”-Higgs Yukawa couplings and contact fermion–fermion–scalar–scalar interactions, whose effects are expected to be larger than those generated in the MSSM at loop or even tree level. This has implications in particular for LHC searches for supersymmetry by direct squark production.
Highlights
We perform a general analysis of the R-parity conserving dimension-five operators that can be present beyond the Minimal Supersymmetric Standard Model
We provide an ansatz for the remaining couplings which allows one to avoid the effects of Flavor Changing Neutral Currents (FCNC), and reduces further the number of these couplings
The conclusion is that in the approximation considered the MSSM Higgs sector is rather stable under the addition of D=5 operators and quantum corrections are still needed to lift it above LEPII bound [6]
Summary
We present a method which employs spurion-dependent field redefinitions that removes this “redundancy” and establishes the minimal, irreducible set of these dimension-five operators Their potential effects on the MSSM Higgs sector are discussed to show that the tree level bound mh ≤ mZ cannot be lifted within the approximations used, and quantum corrections are still needed to satisfy the LEPII bound. The minimal set of operators brings new couplings in the effective Lagrangian, notably “wrong”-Higgs Yukawa couplings and contact fermion-fermion-scalarscalar interactions, whose effects are expected to be larger than those generated in the MSSM at loop or even tree level This has implications in particular for LHC searches for supersymmetry by direct squark production. This conclusion changes if the massive states that induce the D=5 operators in the first instance are sufficiently light not be integrated out but considered together with the other MSSM states when analysing their implications
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