arXiv subjects

G. T. Gabadadze

Publications and source records attributed to G. T. Gabadadze.

4 recordsLinked to original sources

arXiv1997

Light Gluino Mass and Condensate from Properties of $η$ and $η'$

We investigate whether known properties of the $η'$ meson are consistent with its being the Goldstone boson of the spontaneously broken anomaly-free R symmetry required in the light gluino scenario. We fit the masses and $2γ$ decays of the $η$ and $η'$ mesons, and also their production in radiative $J/ψ$ decays. We find that the $η-η'$ system is well-described in the light gluino scenario, if $m_λ\simeq (84-144) MeV$ and $<{\barλ}λ> \simeq -(0.15-0.36) GeV^3$. These values are in the range expected when the gluino gets its mass entirely from radiative corrections.

hep-ph↗

arXiv1995

The Generalized Crewther Relation in QCD and its Experimental Consequences

We use the BLM scale-fixing prescription to derive a renormalization-scheme invariant relation between the coefficient function for the Bjorken sum rule for polarized deep inelastic scattering and the $R$-ratio for the $e^+e^-$ annihilation cross section. This relation provides a generalization of the Crewther relation to non-conformally invariant gauge theories. The derived relations allow one to calculate unambiguously without renormalization scale or scheme ambiguity the effective charges of the polarized Bjorken and the Gross-Llewellen Smith sum rules from the experimental value for the effective charge associated with $R$-ratio. Present data are consistent with the generalized Crewther relations, but measurements at higher precision and energies will be needed to decisively test these fundamental relations in QCD.

hep-ph↗

arXiv1995

On Connection between Coefficient Functions for Deep-Inelastic and Annihilation Processes

It has been shown that the one-loop behavior of the axial anomaly, occurring when the axial current is appropriately normalized, leads to the cancellation of the corrections of type $C_F^N{\bar α}_s^N,~~ (N\geq 1) $ in the Crewther relation for the coefficient functions of deep-inelastic and annihilation processes. The arguments in favour of the overall factorization of the factor $β({\bar α}_s)/ {\bar α}_s$ in all orders of perturbation theory in this relation are presented.

hep-ph↗

arXiv1995

An Estimate of the Proton Singlet Axial Constant

The value of the proton singlet axial constant is estimated. It has been shown that the axial anomaly plays a crucial role in this calculation. Obtained result is sufficiently suppressed in comparison with the naively expected one. The magnitude of the strange quark contribution for the proton state is also computed approximately.

hep-ph↗