We demonstrate the stability under subsequent-to-leading logarithm corrections of the quartic scalar-field coupling constant λ and the running Higgs boson mass obtained from the (initially massless) effective potential for radiatively broken electroweak symmetry in the single-Higgs-Doublet Standard Model. Such subsequent-toleading logarithm contributions are systematically extracted from the re...

We propose a new methodology to estimate λ, the parameter of the Box–Cox transformation, as well as an alternative method to determine plausible values for it. The former is accomplished by defining a grid of values for λ and further perform a normality test on the λ-transformed data. The optimum value of λ, say ∗ λ , is such that the p-value from the normality test is the highest. The set of p...

In this paper we give a geometric interpretation of a reduction method based on the so called λ-variational symmetry (C. Muriel, J.L. Romero and P. Olver 2006Variational C∞-symmetries and Euler-Lagrange equations J. Differential equations 222 164-184). In general this allows only a partial reduction but it is particularly suitable for the reduction of variational ODEs with a lack of computable ...

The weak decays Ξ b → Λ b π and Ξ c → Λ c π, in which the heavy quark is not destroyed, are discussed. The branching fractions for these decays, corresponding to an absolute rate of order 0.01 ps −1 , should be at a one percent level for the b hyperons and at a (few) per mill level for Ξ c , possibly making feasible their experimental study in future. It is shown, through an application of the ...

The top-quark Yukawa coupling is too large to permit radiative electroweak symmetry breaking to occur for small values of y, the Higgs self-coupling, to leading-logarithm order. However, a large y solution leading to a viable Higgs mass of approximately 220GeV does exist, and differs from conventional symmetry breaking by an approximately five-fold enhancement of the Higgs self-coupling. This s...

This reports our recent studies on changes in properties of heavy hadrons containing at least a charm or a bottom quark in nuclear matter, and that the results for the Λ + c and Λ b hypernuclei are studied quantitatively. Comparisons are made with the results for the Λ hypernuclei studied previously in the same approach. It is shown that although the scalar and vector potentials for the Λ, Λ + ...

We calculate the parton distributions for both polarized and unpolarized octet and decuplet baryons, using the MIT bag, dressed by mesons. We show that the hyperfine interaction responsible for the ∆-N and Σ 0-Λ splittings leads to large deviations from SU (3) and SU (6) predictions. For the Λ we find significant polarized, non-strange parton distributions which lead to a sizable Λ polarization...