Weak interaction corrections to muon pair production via the photon fusion at the LHC

Analytical formulas describing the correction due to the $Z$ boson exchange to the cross section of the reaction $pp\to p{\mu }^{+}{\mu }^{-}X$ are presented. When the invariant mass of the produced muon pair $W\gtrsim 150\text{ GeV}$ and its total transverse momentum is large, the correction is of the order of 20%.