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With an eye toward the precision physics of the LHC, such as the recentmeasurement of $M_W$ by the ATLAS Collaboration, we present here systematicstudies relevant to the assessment of the expected size of multiple photonradiative effects in heavy gauge boson production with decay to charged leptonpairs. We use the new version 4.22 of ${\cal KK}$MC-hh so that we have CEEX EWexact ${\cal O}(\alpha^2 L)$ corrections in a hadronic MC and control over thecorresponding EW initial-final interference (IFI) effects as well. In this way,we illustrate the interplay between cuts of the type used in the measurement of$M_W$ at the LHC and the sizes of the expected responses of the attendanthigher order corrections. We find that there are per cent to per mille leveleffects in the initial-state radiation, fractional per mille level effects inthe IFI and per mille level effects in the over-all ${\cal O}(\alpha^2 L)$corrections that any treatment of EW corrections at the per mille level shouldconsider. Our results have direct applicability to current LHC experimentaldata analyses.

Systematic Studies of Exact ${\cal O}(\alpha^2L)$ CEEX EW Corrections in a Hadronic MC for Precision $Z/\gamma^*$ Physics at LHC Energies