Abstract
We calculate the decay width of h0 -> b bbar in the Minimal Supersymmetric Standard Model (MSSM) with quark flavour violation (QFV) at full one-loop level. We study the effect of scharm-stop mixing and sstrange-sbottom mixing taking into account the constraints from the B meson data. We discuss and compare in detail the decays h0 -> c cbar and h0 -> b bbar within the framework of the perturbative mass insertion technique using the Flavour Expansion Theorem. The deviation of both decay widths from the Standard Model values can be quite large. Whereas in h0 -> c cbar it is almost entirely due to the flavour violating part of the MSSM, in h0 -> b bbar it is mainly due to the flavour conserving part. Nevertheless, the QFV contribution to Gamma(h0 -> b bbar) due to scharm-stop mixing and chargino exchange can go up to about 8%.
Highlights
In our calculation of Γ(h0 → bb) at full one-loop level, we will largely proceed analogously to the case of h0 → cc [4,5,6,7,8], except for the particular features characteristic of the decays into bottom quarks, as the large tan β enhancement and resummation of the bottom Yukawa coupling
Whereas in h0 → ccit is almost entirely due to the flavour violating part of the Minimal Supersymmetric Standard Model (MSSM), in h0 → bb it is mainly due to the flavour conserving part
The main new feature in this paper is the additional adoption of the perturbative mass insertion technique using the Flavour Expansion Theorem [9]
Summary
Where MQ,U,D are the hermitian soft SUSY-breaking mass matrices of the squarks and mu,d are the diagonal mass matrices of the up-type and down-type quarks. Due to the SU(2)L symmetry the left-left blocks of the up-type and down-type squarks in eq (2.2) are related by the CKM matrix VCKM. Where TU,D are the soft SUSY-breaking trilinear coupling matrices of the up-type and down-type squarks entering the Lagrangian Lint ⊃ −(TUαβu†RαuLβH20 +TDαβd†RαdLβH10),. Where NC = 3, mh0 is the on-shell mass of h0 and the tree-level coupling sb is sb. [4] we use the DR renormalisation scheme, where all input parameters in the Lagrangian (masses, fields and coupling parameters) are UV finite, defined at the scale Q = 1 TeV. That in our case with large mA0 close to the decoupling limit, the resummation effect is very small (< 0.1%)
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