Editors' note

Burkhardt, Frederick

doi:10.1017/cbo9780511542596.003

Cited by 1 publication

(2 citation statements)

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“…To arrive at a numerical result we adopt the following parametrizations for R(s): For the comparison with earlier work [9] we take the function provided by H.Burkhardt [10]. This parametrization (denoted by B) is simple and efficient for the integration, however, it includes only data more than 20 years old.…”

Section: Numerical Analysismentioning

confidence: 99%

“…In view of the fact, that we are using a somewhat different approach and furthermore, to provide an independent cross check the results of our calculation will be presented in some detail. To allow for an easier comparison with [9], we shall use the same parametrization [10] for the R-ratio. In addition we shall compare the results to the ones derived from a second parametrization [11] that includes more recent data and these latter ones should be considered as our definite predictions.…”

Section: Introductionmentioning

confidence: 99%

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Two-loop QED hadronic corrections to Bhabha scattering

Kühn

Uccirati

2009

Nuclear Physics B

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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 π(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. As a cross check we evaluate the corresponding corrections resulting from light and heavy lepton loops and we find perfect agreement with previous calculations. For the hadronic correction our result are in good agreement with a previous evaluation.

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Section: Numerical Analysismentioning

confidence: 99%