$$A_4$$ modular flavour model of quark mass hierarchies close to the fixed point $$\tau = \omega $$

Common Fixed Point Theorems of Integral Type in Modular Spaces

Perturbative Quark Mass Corrections to the Tau Hadronic Width

The perturbative quark–mass corrections to the τ hadronic width are analysed to O(αsm 2 q), using the presently available theoretical information. The behaviour of the perturbative series is investigated in order to assess the associated uncertainties. The implications for the determination of the strange quark mass from τ decay data are discussed.

A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces

In this paper, we prove the Hyers-Ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

Quark Mass and Flavour Dependence of the QCD Phase Transition

We analyze the quark mass and flavour dependence of the QCD phase transition temperature. When the lightest pseudo-scalar meson mass (m PS) is larger than 2 GeV the critical temperature is controlled by the gluonic sector of QCD alone. For smaller values of the lightest meson mass the pseudo-critical temperature decreases slowly with m PS. For a large regime of meson masses the pseudo-critical ...

Bounded-Arity Hierarchies in Fixed-Point Logics

In this paper we prove that for each k, the expressive power of k–ary fixed–point logic, i.e. the fragment of fixed–point logic whose fixed–point operators are restricted to arity ≤ k, strictly exceeds the power of (k − 1)–ary fixed–point logic. This solves a problem that was posed by Chandra and Harel in 1982. Our proof has a rather general form that applies to several variants of fixed–point ...