One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions

Fleischer J, Gluza J, Lorca A, Riemann T (2006)
EUROPEAN PHYSICAL JOURNAL C 48(1): 35-52.

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The luminosity measurement at the projected International Linear e(+) e(-) Collider ILC is planned to be performed with forward Bhabha scattering with an accuracy of the order of 10(-4). A theoretical prediction of the differential cross-section has to include one-loop weak corrections, with leading higher order terms, and the complete two-loop QED corrections. Here, we present the weak part and the virtual one-loop photonic corrections. For the photonic corrections, the expansions in epsilon = ( 4- d)/ 2 are derived with inclusion of the terms of order epsilon in order to match the two-loop accuracy. For the photonic box master integral in d dimensions we compare several different methods of evaluation.
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Fleischer J, Gluza J, Lorca A, Riemann T. One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions. EUROPEAN PHYSICAL JOURNAL C. 2006;48(1):35-52.
Fleischer, J., Gluza, J., Lorca, A., & Riemann, T. (2006). One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions. EUROPEAN PHYSICAL JOURNAL C, 48(1), 35-52.
Fleischer, J., Gluza, J., Lorca, A., and Riemann, T. (2006). One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions. EUROPEAN PHYSICAL JOURNAL C 48, 35-52.
Fleischer, J., et al., 2006. One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions. EUROPEAN PHYSICAL JOURNAL C, 48(1), p 35-52.
J. Fleischer, et al., “One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions”, EUROPEAN PHYSICAL JOURNAL C, vol. 48, 2006, pp. 35-52.
Fleischer, J., Gluza, J., Lorca, A., Riemann, T.: One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions. EUROPEAN PHYSICAL JOURNAL C. 48, 35-52 (2006).
Fleischer, Jochem, Gluza, J., Lorca, A., and Riemann, T. “One-loop photonic corrections to Bhabha scattering in d=4-2 epsilon dimensions”. EUROPEAN PHYSICAL JOURNAL C 48.1 (2006): 35-52.
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