This report, authored by a team of experts from various institutions, summarizes the activities and findings of the LHC Higgs Cross Section Working Group from 2012 to the first half of 2013. The primary goal was to present the latest advancements in Higgs physics at the LHC, integrating new results from recent years. The report follows the previous working group reports on inclusive observables and differential distributions. It focuses on refined predictions for Standard Model (SM) Higgs phenomenology around the observed mass value of 125 ± 126 GeV, predictions for heavy SM-like Higgs bosons, and initial steps beyond these models. The report also emphasizes the extraction of the characteristics and properties of the newly discovered particle, such as couplings to SM particles, spin, and CP-quantum numbers. The authors dedicate the report to the memory of Ken Wilson. The content covers various aspects of Higgs physics, including branching ratios, production modes, Monte Carlo generators, and theoretical uncertainties. It provides detailed calculations and predictions for SM and MSSM Higgs bosons, as well as discussions on the impact of NLO corrections and interference effects.This report, authored by a team of experts from various institutions, summarizes the activities and findings of the LHC Higgs Cross Section Working Group from 2012 to the first half of 2013. The primary goal was to present the latest advancements in Higgs physics at the LHC, integrating new results from recent years. The report follows the previous working group reports on inclusive observables and differential distributions. It focuses on refined predictions for Standard Model (SM) Higgs phenomenology around the observed mass value of 125 ± 126 GeV, predictions for heavy SM-like Higgs bosons, and initial steps beyond these models. The report also emphasizes the extraction of the characteristics and properties of the newly discovered particle, such as couplings to SM particles, spin, and CP-quantum numbers. The authors dedicate the report to the memory of Ken Wilson. The content covers various aspects of Higgs physics, including branching ratios, production modes, Monte Carlo generators, and theoretical uncertainties. It provides detailed calculations and predictions for SM and MSSM Higgs bosons, as well as discussions on the impact of NLO corrections and interference effects.