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Measurements of the cross sections of the reference processes seen by theALICE trigger system were obtained based on beam properties measured from vander Meer scans. The measurements are essential for absolute cross sectiondeterminations of physics processes.  The paper focuses on instrumental and technical aspects of detectors andaccelerators, including a description of the extraction of beam properties fromthe van der Meer scan. As a result, cross sections of reference processes seenby the ALICE trigger system are given for proton-proton collisions at twoenergies; $\sqrt{s}$=2.76 TeV and 7 TeV, together with systematic uncertaintiesoriginating from beam intensity measurements and other detector effects.Consistency checks were performed by comparing to data from other experimentsin LHC.

Cross section normalization in proton-proton collisions at $\sqrt{s}$ = 2.76 TeV and 7 TeV, with ALICE at LHC