The two-pion contribution to hadronic vacuum polarization can be extracted from τ decay data when isospin violating and radiative corrections are taken into account. When the dominant corrections are applied to the photon-inclusive decay τ− → ντπ π[γ], one obtains a shift ∆aμ = (−12.0± 2.6)× 10 −10 for the anomalous magnetic moment of the muon. The shift appears to be too small to reconcile the...

We calculate the leading quantum and semi-classical corrections to the Newtonian potential energy of two widely separated static masses. In this largedistance, static limit, the quantum behaviour of the sources does not contribute to the quantum corrections of the potential. These arise exclusively from the propagation of massless degrees of freedom. Our one-loop result is based on Modanese’s f...

The results and main steps of an analytic calculation of radiative-recoil corrections of order α(Zα)5(m/M)m to the Lamb shift in hydrogen are presented. The calculations are performed in the infrared safe Yennie gauge. The discrepancy between two previous numerical calculations of these corrections existing in the literature is resolved. Our new result eliminates the largest source of the theor...

In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer...