Abstract
The mass of the W boson, MW, plays a central role for high-precision tests of the electroweak theory. Confronting precise theoretical predictions with the accurately measured experimental value provides a high sensitivity to quantum effects of the theory entering via loop contributions. The currently most accurate prediction for the W boson mass in the Minimal R-symmetric Supersymmetric Standard Model (MRSSM) is presented. Employing the on-shell scheme, it combines all numerically relevant contributions that are known in the Standard Model (SM) in a consistent way with all MRSSM one-loop corrections. Special care is taken in the treatment of the triplet scalar vacuum expectation value vT that enters the prediction for MW already at lowest order. In the numerical analysis the decoupling properties of the supersymmetric loop contributions and the comparison with the MSSM are investigated. Potentially large numerical effects of the MRSSM-specific Λ superpotential couplings are highlighted. The comparison with existing results in the literature is discussed.
Highlights
The appearance of a triplet scalar vacuum expectation value vT at lowest order in the electroweak symmetry breaking condition for the W boson mass but not in the corresponding relation for the mass of the Z boson leads to custodial symmetry breaking effects in the prediction for MW already at tree-level, while the other BSM parameters of the Minimal R-symmetric Supersymmetric Standard Model (MRSSM) enter via higher-order corrections
The prediction for the W boson mass needs to properly take into account the relation between the weak mixing angle and the gauge boson masses that is modified in the MRSSM in comparison to the Standard Model (SM) and extensions of it involving only Higgs doublets and singlets
Our prediction for the W boson mass is based on the full one-loop contributions in the MRSSM that we have supplemented by all available SM-type corrections of higher order
Summary
The minimal R-symmetric extension of the MSSM, the MRSSM, requires the introduction of Dirac mass terms for gauginos and higgsinos, since Majorana mass terms are forbidden by R-symmetry. This leads to the need for an extended number of chiral superfields containing the necessary additional fermionic degrees of freedom. Dirac mass terms connecting the gauginos and the fermionic components of the adjoint superfields are introduced They are generated from the R-symmetric operator involving the D-type spurion [66]3. Integrating out the spurion in eq (2.4) generates terms coupling the D-fields to the scalar components of the chiral superfields, which leads to the appearance of Dirac masses in the Higgs sector,. The masses of the gauge bosons arise as usual with an important distinction which will be discussed in more detail in the following
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