  The Muon-to-Electron (Mu2e) experiment at Fermilab, will seek the evidence of
direct muon to electron conversion at the sensitivity level where it cannot be
explained by the Standard Model. An 8-GeV 25-kW proton beam will be directed
onto a tilted gold target inside a large-bore superconducting Production
Solenoid (PS) with the peak field on the axis of ~5T. The negative muons
resulting from the pion decay will be captured in the PS aperture and directed
by an S-shaped Transport Solenoid towards the stopping target inside the
Detector Solenoid. In order for the superconducting magnets to operate reliably
and with a sufficient safety margin, the peak neutron flux entering the coils
must be reduced by 3 orders of magnitude that is achieved by means of a
sophisticated absorber placed in the magnet aperture. The proposed absorber,
consisting of W- and Cu-based alloy parts, is optimized for the performance and
cost. Results of MARS15 simulations of energy deposition and radiation are
reported. The results of the PS magnet thermal analysis, coordinated with the
coil cooling scheme, are reported as well for the selected absorber design.
