Abstract
We update the bounds on R-parity violating supersymmetry originating from meson oscillations in the Bd/s0 and K0 systems. To this end, we explicitly calculate all corresponding contributions from R-parity violating operators at the one-loop level, thereby completing and correcting existing calculations. We apply our results to the derivation of bounds on R-parity violating couplings, based on up-to-date experimental measurements. In addition, we consider the possibility of cancellations among flavor-changing contributions of various origins, e.g. from multiple R-parity violating couplings or R-parity conserving soft terms. Destructive interferences among new-physics contributions could then open phenomenologically allowed regions, for values of the parameters that are naively excluded when the parameters are varied individually.
Highlights
Several years of operation of the LHC have failed to reveal any conclusive evidence for physics beyond the Standard Model (SM) [1]
If one of the pair of non-vanishing LQDcouplings is one of those involved for the tree-level exchange diagram — i.e. if it contains the two flavor indices of the valence quarks of the meson — we find that quark self-energy corrections on the tree-level diagram can be comparable to or even dominant over box contributions
It is characteristic of the leading RpVdiagrams in the considered setup, corresponding to the box formed out of two charged sleptons and two up-type quarks in the internal lines and to the box consisting of two sneutrinos and two down-type quarks: these diagrams roughly scale as (λ · λ )2/m2 ̃
Summary
Several years of operation of the LHC have (as yet) failed to reveal any conclusive evidence for physics beyond the Standard Model (SM) [1]. The photon and gluon are active fields in the EFT, so that a proper processing of the corresponding effects would require a NLO matching procedure Both tree-level and one-loop contributions are considered in the RpV-MSSM: we stress that this does not induce a problem in power-counting, as the tree-level contribution is a strict RpVeffect, so that Rp-conserving (or violating) one-loop amplitudes are not (all) of higher QED order. Driven mixing further intertwines these contributions, so that the distinction among e.g. the Rp-conserving chargino/scalar-up and RpV lepton/scalar-up boxes becomes largely superfluous For all these contributions, with exception of the self-energy diagrams on the external legs, we neglect the external momentum, as it controls effects of order mdi,j , which are subdominant when compared to the momentum-independent pieces of order MW or MSUSY. Our results can be controlled in another fashion, using the automatically generated results of public tools: we detail this
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