Two of the most pressing questions in current research in Particle Physics are the characterisation of the newly discovered Higgs-like boson at the LHC and the search for New Phenomena beyond the Standard Model of Particle Physics. Physicists at LPSC in Grenoble are leading the search for one type of New Phenomena in ATLAS. Given the rich multitude of physics studies proceeding in parallel in ATLAS, one limiting factor in the timely analysis of data is the availability of computing resources. Another LPSC team suffers from the same limitation. This team is leading the ultimate precision measurement of the W boson mass with DØ data, which yields an indirect constraint on the Higgs boson mass which can be compared with the direct measurements of the mass of the newly discovered boson at LHC. In this paper, we describe the synergy between CIMENT, a regional multidisciplinary HPC centre, and the HEP community in Grenoble in the context of the analysis of data recorded by the ATLAS experiment at the LHC collider and the D0 experiment at the Tevatron collider. CIMENT is a federation of twelve HPC clusters, of about 90 TFlop/s, one of the most powerful HPC tier-2 centres in France. The sharing of resources between different scientific fields, like the ones discussed in this article, constitutes a great asset because the spikes in need of computing resources are uncorrelated in time between different fields.