Measurement of the luminosity at the DAFNE collider upgraded with the crab waist scheme

The test of the crab waist collision scheme, undergoing at the e+e- Frascati DAFNE accelerator complex since February 2008, requires a fast and accurate measurement of the absolute luminosity, as well as a full characterization of the background conditions. Three different monitors, a Bhabha calorimeter, a Bhabha GEM tracker and a gamma bremsstrahlung proportional counter have been designed, tested and installed around the interaction point end of 2007-beginning of 2008. In this paper, we describe these detectors and present their performances in various operation conditions during the 2008 and 2009 DAFNE runs.