====== TTP03-28 Planar box diagram for the ($N_{F}=1$) 2-loop QED virtual corrections to Bhabha scattering ======
 
 
   <hidden TTP03-28  Planar box diagram for the ($N_{F}=1$) 2-loop QED virtual corrections to Bhabha scattering > In this paper we present the master integrals necessary for the 
 analytic calculation of the box diagrams with one electron loop 
 ($N_{F}=1$) entering in the 2-loop  ($\alpha^3$) QED virtual 
 corrections to the Bhabha scattering amplitude of the electron. 
 We consider on-shell electrons and positrons of finite mass $m$, 
 arbitrary squared c.m. energy $s$, and momentum transfer $t$;
 both UV and soft IR divergences are regulated within the continuous 
 $D$-dimensional regularization scheme. After a brief overview of 
 the method employed in the calculation, we give the results, 
 for $s$ and $t$ in the Euclidean region, in terms of 1- and 
 2-dimensional harmonic  polylogarithms, of maximum weight 3.
 The corresponding results in the physical region can be 
 recovered by analytical continuation. For completeness, we also 
 provide the analytic expression of the 1-loop scalar box diagram 
 including the first order in $(D-4)$.
 </hidden>
|**R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J. J. van der Bij**  | 
|**       Nucl.Phys.B   681  (2004) (261-291) **  |
| {{preprints:2003:ttp03-28.pdf|PDF}} {{preprints:2003:ttp03-28.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0310333|arXiv]]   |
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