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A search for W' bosons decaying to a top and a bottom quark in final statesincluding an electron or a muon is performed with the CMS detector at the LHC.The analyzed data correspond to an integrated luminosity of 138 fb$^{-1}$ ofproton-proton collisions at a center-of-mass energy of 13 Tev. Good agreementwith the standard model expectation is observed and no evidence for theexistence of the W' boson is found over the mass range examined. The largestobserved deviation from the standard model expectation is found for a W' bosonmass ($m_\mathrm{W'}$) hypothesis of 3.8 TeV with a relative decay width of 1%,with a local (global) significance of 2.6 (2.0) standard deviations. Upperlimits on the production cross sections of W' bosons decaying to a top and abottom quark are set. Left- and right-handed W' bosons with $m_\mathrm{W'}$below 3.9 and 4.3 TeV, respectively, are excluded at the 95% confidence level,under the assumption that the new particle has a narrow decay width. Limits arealso set for relative decay widths up to 30%. These are the most stringentlimits to date on this W' boson decay channel.

Search for W' bosons decaying to a top and a bottom quark in leptonic final states in proton-proton collisions at $\sqrt{s}$ = 13 TeV