Resummation and Matching of $b$-quark Mass Effects in $b\bar{b}H$ Production

Understand

We use a systematic effective field theory setup to derive the $b\bar{b}H$ production cross section.

• Our result combines the merits of both fixed 4-flavor and 5-flavor schemes.
• It contains the full 4-flavor result, including the exact dependence on the $b$-quark mass, and improves it with a resummation of collinear logarithms of $m_b/m_H$.
• In the massless limit, it corresponds to a reorganized 5-flavor result.