Matched predictions for the $b\bar{b}H$ cross section at the 13 TeV LHC

Understand

We present up-to-date matched predictions for the $b\bar{b}H$ inclusive cross section at the LHC at $\sqrt{s}=13$ TeV.

• Using a previously developed method, our predictions consistently combine the complete NLO contributions that are present in the 4-flavor scheme calculation, including finite b-quark mass effects as well as top-loop induced $Y_b Y_t$ interference contributions, with the resummation of collinear logarithms of $m_b/m_H$ as present in the 5-flavor scheme calculation up to NNLO.
• We provide a detailed estimate of the perturbative uncertainties of the matched result by examining its dependence on the factorization and renormalization scales, the scale of the Yukawa coupling, and also the low b-quark matching scale in the PDFs.
• We motivate the use of a central renormalization scale of $m_H$/2, which is halfway between the values typically chosen in the 4-flavor and 5-flavor scheme calculations.