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We analyze 5-year (63 months) data of the Large Area Telescope on board Fermisatellite from the Coma galaxy cluster in the energy range between 100 MeV and100 GeV. The likelihood analyses are performed with several templates motivatedby models predicting gamma-ray emission due to structure formation processes.We find no excess emission and derive the most stringent constraints to date onthe Coma cluster above 100 MeV, and on the tested scenarios in general. Theupper limits on the integral flux range from 10^-10 to 10^-9 cm^-2s^-1, and arestringent enough to challenge different scenarios. We find that theacceleration efficiency of cosmic ray protons and electrons at shocks must bebelow approximately 15% and 1%, respectively. Additionally, we argue that theproton acceleration efficiency should be lower than 5% in order to beconsistent with radio data. This, however, relays on magnetic field estimatesin the cluster. In particular, this implies that the contribution to thediffuse extragalactic gamma-ray background due to gamma-rays from structureformation processes in clusters of galaxies is negligible, below 1%. Finally,we discuss future detectability prospects for Astro-H, Fermi after 10-yr ofoperation, and the Cherenkov Telescope Array.

Constraints on diffuse gamma-ray emission from structure formation processes in the Coma cluster