ΔF=2 observables and B → Xqγ decays in the left-right model: Higgs particles striking back

We present a complete study of Delta S = 2 and Delta B = 2 processes in the left-right model (LRM) based on the weak gauge group SU(2)(L) x SU(2)(R) x U(1)(B-L). This includes epsilon(K), Delta M-K, Delta M-q, A(SL)(q), Delta Gamma(q) with q = d, s and the mixing induced CP asymmetries S-psi KS and S-psi phi. Compared to the Standard Model (SM) these observables are affected by tree level contributions from heavy neutral Higgs particles (H-0) as well as new box diagrams with W-R gauge boson and charged Higgs (H-+/-) exchanges. We also analyse the B -> X-s,X-d gamma decays that receive important new contributions from the W-L - W-R mixing and H exchanges. Compared to the existing literature the novel feature of our analysis is the search for correlations between various observables that could help us to distinguish this model from other extensions of the SM and to obtain an insight into the structure of the mixing matrix V-R that governs right-handed currents. Moreover, we perform the full phenomenology including both gauge boson and Higgs boson contributions. We find that even for M-H0 approximate to M-H +/- similar to O(20) TeV, the tree level H-0 contributions to Delta F = 2 observables are by far dominant and the H-+/- contributions to B -> X-q gamma can be very important, even dominant for certain parameters of the model. While in a large fraction of the parameter space this model has to struggle with the experimental constraint from epsilon(K), we demonstrate that there exist regions in parameter space which satisfy all existing Delta F = 2, B -> X-s,X-d gamma, tree level decays and electroweak precision constraints for scales M-WR similar or equal to 2 - 3 TeV in the reach of the LHC. We also show that the S-psi KS - epsilon(K) tension present in the SM can be removed in the LRM. Simultaneously Br(B -> X-s gamma) can be brought closer to the data. However, we point out that with the increased lower bound on M-WR, the LRM cannot help in explaining the difference between the inclusive and exclusive determinations of vertical bar V-ub vertical bar when all constraints are taken into account, unless allowing for large fine-tuning. Finally we present a rather complete list of Feynman rules involving quarks, gauge bosons and Higgs particles.