0000000000222715
AUTHOR
Marek Nowakowski
On Gauge Invariance of Breit-Wigner Propagators
We present an approach to bosonic ($Z^0, W^{\pm}$) as well as fermionic (top-quark) Breit-Wigner propagators which is consistent with gauge invariance arguments. In particular, for the $Z^0$-boson propagator we extend previous analyses and show that the part proportional to $k_{\mu} k_{\nu}/M^2$ must be modified near the resonance. We derive a mass shift which agrees with results obtained elsewhere by different methods. The modified form of a resonant heavy fermion propagator is also given.
Dominant Three-Body Decays of a Heavy Higgs and Top Quark
We calculate the dominant three body Higgs decays, $H \to W^+W^-(Z^0, \gamma)$ and $H \to t\overline{t}(Z^0,\gamma ,g)$, in the Standard Model. We find that the branching ratios of these decays are of the order of few percent for large Higgs masses. We comment on the behaviour of the partial decay width $\Gamma (H \to t\overline{b}W^-)$ below the $t\overline{t}$ threshold. Numerical results of the following three body top decays, $t \to W^+b(\gamma ,g,Z^0)$ and $t \to W^+bH$, are also given. We discuss the feasibility of observing these Higgs and top decays at future high energy colliders.
Vacuum oscillations in the supersymmetric standard model.
We analyze the spectrum and mixing among neutrinos in the minimal supersymmetric standard model with explicit breaking of [ital R] parity. It is shown that (i) the mixing among neutrinos could be large and (ii) the nonzero neutrino mass is constrained to be [le]10[sup [minus]5] eV from arguments based on baryogenesis. Thus vacuum oscillations of neutrinos in this model may offer a solution of the solar neutrino problem. The allowed space of the supersymmetric parameters consistent with this solution is determined.
IMPLICATIONS OF A LARGE $Ht \bar{t}$-COUPLING FOR THREE-BODY DECAYS OF HIGGS BOSON AND TOP QUARK
The three-body decays a heavy Higgs [Formula: see text], [Formula: see text] and of a heavy top t → bW+ H are studied in the context of the Standard Model. The common feature of these decay channels is the relative big coupling constant of the Higgs particle to the top quark. Indeed within a certain range of the masses M H , mt we find that branching ratios of the order O(10-3) are possible for the decays [Formula: see text] and t → bW+ H. The decay with [Formula: see text] as a function of M H and mt is investigated below the 2mt threshold (Mtt < 2mt) and is found to have an interesting behaviour just near this threshold.
CP-violation with bosons
We formulate the conditions under which a purely bosonic theory (without fermions) containing neutral spin-0 particles and vector (gauge) bosons violates the CP-symmetry through the presence of CP-even and CP-odd operators in the Lagrangian. This is done without reference to explicitly CP-violating scalar sector of extended standard models (SM) with two or more Higgs doublets. The Lagrangian expressed in the mass basis of the spin-0 fields can, however, in certain cirumstances be identified with a part of the CP-violating SM with two Higgs doublets. It is instructive to consider the manifestation of CP-violation in the mass basis since this leads directly to suggestions of genuine CP-signal…