English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Inclusive semileptonic $B\to X_c \ell\bar{\nu}$ decays can be described inthe Heavy Quark Expansion (HQE) and allow for a precision determination of theCKM element $|V_{cb}|$. We calculate the terms of $1/m_b^5$ and derive a``trace formula'' which allows for the computation of the decay rate andkinematic moments of the spectrum up to this order in the HQE. We focusspecifically on the reparametrization invariant (RPI) dilepton invariant mass$q^2$ moments of the spectrum, which depend on a reduced set of HQE parameters.At this order, ``intrinsic charm'' (IC) contributions proportional to$1/(m_b^3m_c^2)$ enter, which are numerically expected to be sizeable. Usingthe ``lowest-lying state saturation ansatz'' (LLSA), we estimate the size ofthese contributions. Within this approximation, we observe a partialcancellation between the IC and the ``genuine'' $1/m_b^5$ contributions,resulting in a small overall contribution.

Inclusive Semileptonic $b \to c \ell \bar{\nu}$ Decays to Order $1/m_b^5$