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We present improved pQCD predictions for Higgs boson hadroproduction at theLarge Hadronic Collider (LHC) by applying the Principle of Maximum Conformality(PMC), a procedure which resums the pQCD series using the renormalization group(RG), thereby eliminating the dependence of the predictions on the choice ofthe renormalization scheme while minimizing sensitivity to the initial choiceof the renormalization scale. In previous pQCD predictions for Higgs bosonhadroproduction, it has been conventional to assume that the renormalizationscale $\mu_r$ of the QCD coupling $\alpha_s(\mu_r)$ is the Higgs mass, and thento vary this choice over the range $1/2 m_H < \mu_r < 2 m_H $ in order toestimate the theory uncertainty. However, this error estimate is only sensitiveto the non-conformal $\beta$ terms in the pQCD series, and thus it fails tocorrectly estimate the theory uncertainty in cases where pQCD series has largehigher order contributions, as is the case for Higgs boson hadroproduction.Furthermore, this \mbox{\it ad hoc} choice of scale and range gives pQCDpredictions which depend on the renormalization scheme being used, incontradiction to basic RG principles. In contrast, after applying the PMC, weobtain next-to-next-to-leading order RG resummed pQCD predictions for Higgsboson hadroproduction which are renormalization-scheme independent and haveminimal sensitivity to the choice of the initial renormalization scale. Taking$m_H=125$ GeV, the PMC predictions for the $p p \to H X$ Higgs inclusivehadroproduction cross-sections for various LHC center-of-mass energies and thefiducial cross section $\sigma_{\rm fid}(pp\to H\to\gamma\gamma)$ arepresented The PMC predictions show better agreement with the ATLASmeasurements than the LHC-XS predictions which are based on conventionalrenormalization scale-setting.

Application of the Principle of Maximum Conformality to the Hadroproduction of the Higgs Boson at the LHC