Uncertainty of the two-loop RG upper bound on the Higgs mass

A modified criterion of the SM perturbative consistency is proposed. It is based on the analytic properties of the two-loop SM running couplings. Under the criterion adopted, the Higgs mass up to 380 GeV might not give rise to strong coupling prior to the Planck scale. This means that the light Higgs boson is possibly preferred for reasons other than the SM perturbative consistency, i.e., for reasons beyond the SM.     

Theoretical LSP detection rates for dark-matter detectors

Low-energy structure of the dark-matter detector nuclei ⁷¹Ga, ⁷³Ge and ¹²⁷I has been studied by using the nuclear shell model. The calculations have been done in realistic model spaces by using renormalized microscopic two-body interactions. The resulting ground states have been used to calculate theoretical predictions for detection rates of the lightest supersymmetric particle (LSP) in experiments studying elastic scattering of the LSP’s from atomic nuclei. Presented by T.S. Kosmas at the Workshop on calculation of double-beta-decay matrix elements (MEDEX’05), Corfu, Greece, September 26–29, 2005.     

An upper bound for thet-quark mass from duality and unitarity

We attempt to predict the mass of thet-quark from the approach based on duality and unitarity, employing the values of known Regge slopes and vector meson masses. Thet-quark mass is shown to be bounded approximately by 65 GeV, using the maximum possible value for the γ slope. This upper bound is sensitive, however, to the γ slope, and hence it will be considerably reduced if the reliable value is obtained. The importance to find the χ _b state ((bb)³ P ₂) is emphasized. The χ _b mass is also predicted to be less than 9.89 GeV.     

Theoretical upper bound on F → φπ decay rate by current algebras

A tight bound is derived on the F → φπ decay rate from current algebras and a few safe assumptions which are well justified theoretically and experimentally. In terms of the branching ratio and the F meson lifetime, the bound is written as B(F → φπ) ? (2.1 × 10¹¹) s^?1 × τ_F. No soft-pion limit is taken to derive the bound.     

A least upper bound on the superconducting transition temperature

It is rigorously shown that the superconducting transition temperature of any material for which the Eliashberg theory is valid must satisfy k_BT_c ? 0.2309 A, where A is the area under its electron-phonon spectral function α²F(ω). This relation is a least upper bound, not just an upper bound, in the sense that there is an optimal situation in which the equality holds. This occurs when the Coulomb pseudopotential parameter $\text{μ}{}^1$ is zero and the spectral function is the Einstein spectrum Aδ(ω ? 1.750 A). These results are generalized in an approximate, but sufficiently accurate, way to the case $\text{μ}{}^1\text{≠ 0}$ to obtain the more useful least upper bound $\text{k}{}_{\mathrm{<mtext>B</mtext>}}\text{T}{}_{\mathrm{<mtext>c</mtext>}}\text{? c(μ}{}^1\text{) A}$ and the corresponding optimal spectrum $\text{Aδ[ω ? d(μ}{}^1\text{)A]}$. Numerical results for the functions $\text{c(μ}{}^1\text{)}$ and d(μ¹) are presented for $\text{0 ? μ}{}^1\text{? 0.20}$. It is shown that the T_c's of many materials (including Nb₃Sn), for which experimental values of A and $\text{μ}{}^1$ are available, do not lie very far below the upper bound.     

The question of an upper bound on entropy

We discuss the possibility, and significance, of an upper bound on entropy in the light of the arguments of Bekenstein and Unruh and Wald. We obtain a stricter bound than Bekenstein does, and point out some limitations with regard to its significance.     

The upper bound on the entropy of self-gravitating radiation systems

The entropy of a self-gravitating radiation system (sgrs) confined to a spherical box with a central black hole is calculated by using the equation of state of radiation near a black-hole horizon, which was derived by Li and Liu. The upper bound on the total entropy of the system including the central black hole is exactly equal to the entropy of the black hole with the same mass. A reasonable mode of the gravitational collapse of ansgrs is given, and a possible explanation for the origin of black-hole entropy is provided.     

Mean field upper bound on the transition temperature in multicomponent ferromagnets

Using local Ward identities and a new correlation inequality, we prove that the mean field transition temperature is an upper bound on the true transition temperature in multicomponent Heisenberg-type classical ferromagnets.Research partially supported by the NSF under Grant MCS-78-01885.     

Upper bound on the scale of Majorana-neutrino mass generation

We derive a model-independent upper bound on the scale of Majorana-neutrino mass generation. The upper bound is 4pi (nu2)/square root3 m(nu), where nu approximately 246 GeV is the weak scale and m(nu) is the Majorana-neutrino mass. For neutrino masses implied by neutrino oscillation experiments, all but one of these bounds are less than the Planck scale, and they are all within a few orders of magnitude of the grand-unification scale.     

Rigorous perimeter law upper bound on Wilson loops

We present a proof that in an arbitrary lattice gauge theory, the expectation value of a Wilson loop decays at least as fast as the exponential of the perimeter.     

Comment on “the question of an upper bound on entropy”

We show that the upper bound on the entropy of a finite system proposed by Qadir is not universal and consequently neither interesting nor relevant to the Bekenstein-Unruh-Wald debate.     

An upper bound for the adiabatic approximation error

In this paper,we derive an upper bound for the adiabatic approximation error,which is the distance between the exact solution to a Schr dinger equation and the adiabatic approximation solution.As an application,we obtain an upper bound for 1 minus the fidelity of the exact solution and the adiabatic approximation solution to a Schrdinger equation.