# Massive two-loop Bhabha scattering - the factorizable subset

Fleischer J, Riemann T, Tarasov OV, Werthenbach A (2003) *NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS* 116: 43-47.

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The experimental precision that will be reached at the next generation of colliders makes it indispensable to improve theoretical predictions significantly. Bhabha scattering (e(+)e(-) --> e(+)e(-)) is one of the prime processes calling for a better theoretical precision, in particular for non-zero electron masses. We present a first subset of the full two-loop calculation, namely the factorizable subset. Our calculation is based on DIANA [1]. We reduce tensor integrals to scalar integrals in shifted (increased) dimensions and additional powers of various propagators, so-called dots-on-lines. Recurrence relations [2,3] remove those dots-on-lines as well as genuine dots-on-lines (originating from mass renormalization) and reduce the dimension of the integrals to the generic d = 4 - 2epsilon dimensions. The resulting master integrals have to be expanded to O(epsilon) to ensure proper treatment of all finite terms.

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Fleischer J, Riemann T, Tarasov OV, Werthenbach A. Massive two-loop Bhabha scattering - the factorizable subset.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*. 2003;116:43-47.Fleischer, J., Riemann, T., Tarasov, O. V., & Werthenbach, A. (2003). Massive two-loop Bhabha scattering - the factorizable subset.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*,*116*, 43-47. doi:10.1016/S0920-5632(02)02309-5Fleischer, J., Riemann, T., Tarasov, O. V., and Werthenbach, A. (2003). Massive two-loop Bhabha scattering - the factorizable subset.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*116, 43-47.Fleischer, J., et al., 2003. Massive two-loop Bhabha scattering - the factorizable subset.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*, 116, p 43-47. J. Fleischer, et al., “Massive two-loop Bhabha scattering - the factorizable subset”,

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*, vol. 116, 2003, pp. 43-47. Fleischer, J., Riemann, T., Tarasov, O.V., Werthenbach, A.: Massive two-loop Bhabha scattering - the factorizable subset. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. 116, 43-47 (2003).

Fleischer, Jochem, Riemann, T, Tarasov, OV, and Werthenbach, A. “Massive two-loop Bhabha scattering - the factorizable subset”.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*116 (2003): 43-47.
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arXiv hep-ph/0211167

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