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Two-loop QED hadronic corrections to Bhabha scattering · Around

2008

Two-loop QED hadronic corrections to Bhabha scattering

Kühn, Johann H., Uccirati, Sandro

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Theoretical predictions for Bhabha scattering at the two-loop level require the inclusion of hadronic vacuum polarization in the photon propagator.

We present predictions for the contributions from reducible amplitudes which are proportional to the vacuum polarization $\pi(q^2)$ and from irreducible ones where the vacuum polarization appears in a loop representing vertex or box diagrams.
The second case can be treated by using dispersion relations with a weight function proportional to the $R$-ratio as measured in electron-positron annihilation into hadrons and kernels that can be calculated perturbatively.
We present simple analytical forms for the kernels and, using two convenient parametrizations for the function $R(s)$, numerical results for the quantities of interest.

Built on

N. Cabibbo and R. Gatto, Phys. Rev. 124
1961
Earlier work this paper cites.
G. J. H. Burgers, Phys. Lett. B 164
1985
Earlier work this paper cites.
B. A. Kniehl, M. Krawczyk, J. H. Kühn and R. G. Stuart, Phys. Lett. B 209
1988
Earlier work this paper cites.
R. W. Brown, R. Decker and E. A. Paschos, Phys. Rev. Lett. 52
1988
Earlier work this paper cites.
A. O. G. Källen and A. Sabry, Kong. Dan. Vid. Sel. Mat. Fys. Med. 29N17
1996
Earlier work this paper cites.

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