We consider one-loop effects in general relativity which result in quantum long-range corrections to the Newton law, as well as to the gravitational spin-dependent and velocity-dependent interactions. Some contributions to these effects can be interpreted as quantum corrections to the Schwarzschild and Kerr metric.Comment: a reference added; 14 pages, 7 figure

We have found the graviton contribution to the one-loop quantum correction to the Newton law. This correction results in interaction decreasing with distance as 1/r^3 and is dominated numerically by the graviton contribution. The previous calculations of this contribution to the discussed effect are demonstrated to be incorrect.Comment: 10 pages, 5 figures; numerical error corrected, few references adde

We calculate the transverse muon polarization in the decay K ± → π 0 µ ± ν induced by the electromagnetic two-photon final-state interaction. For the central part of the Dalitz plot the typical value of this polarization is about 4 × 10 −6 .

No abstract

Quantum corrections to the Schwarzschild metric generated by loop diagrams have been considered by Bjerrum-Bohr, Donoghue, and Holstein (BHD) (2004)]. Though the same field variables in a covariant gauge are used, the results obtained differ from one another. The reason is that the different sets of diagrams have been used. Here we will argue that the quantum corrections to metric must be independent of the choice of field variables, i. e. must be reparametrization invariant. Using simple reparametrization transformation, we will show that the contribution considered by BDH, is not invariant under it. Meanwhile the contribution of the complete set of the diagrams, considered by KK, satisfies the requirement of the invariance.

Quantum power corrections to the gravitational spin-orbit and spin-spin interactions, as well as to the Lense-Thirring effect, were found for particles of spin 1/2. These corrections arise from diagrams of second order in Newton gravitational constant G with two massless particles in the unitary cut in the t-channel. The corrections obtained differ from the previous calculation of the corrections to spin effects for rotating compound bodies with spinless constituents.Comment: 14 pages, 6 figure

We derive the low-energy expansion of (Zα) 2 and (Zα) 4 terms of the polarization operator in the Coulomb field. Physical applications such as the low-energy Delbrück scattering and "magnetic loop" contribution to the g factor of the bound electron are considered.

Structure function of e + e − → hadrons cross section proportional to the longitudinal part of the hadron tensor is power suppressed with respect to an event shape variable in the two-jet region. In the SCET framework, we study the event shape distribution for this structure function to NLL level of accuracy. As, a result we obtain the angular distribution of hadron jets as a function of the thrust, in the two jet region. We further examine effects of non-perturbative hadronization corrections by adopting a shape function that reproduce the observed event shape distributions. Impacts of our findings on the electroweak measurements via the jet angular forward-backward asymmetry are discussed.