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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We point out that the recently increased value of the angle $\gamma$ in theUnitarity Triangle (UT), determined in tree-level decays to be$\gamma=(74.0^{+5.0}_{-5.8})^\circ$ by the LHCb collaboration, combined withthe most recent value of $|V_{cb}|$ implies an enhancement of $\Delta M_{d}$over the data in the ballpark of $30\%$. This is roughly by a factor of twolarger than the enhancement of $\Delta M_{s}$ that is independent of $\gamma$.This disparity of enhancements is problematic for models with ConstrainedMinimal Flavour Violation (CMFV) and also for $U(2)^3$ models. In view of theprospects of measuring $\gamma$ with the precision of $\pm 1^\circ$ by Belle IIand LHCb in the coming years, we propose to use the angles $\gamma$ and $\beta$together with $|V_{cb}|$ and $|V_{us}|$ as the fundamental parameters of theCKM matrix until $|V_{ub}|$ from tree-level decays will be known precisely.Displaying $\Delta M_{s,d}$ as functions of $\gamma$ clearly demonstrates thetension between the value of $\gamma$ from tree-level decays, free from newphysics (NP) contributions, and $\Delta M_{s,d}$ calculated in CMFV and$U(2)^3$ models and thus exhibits the presence of NP contributions to $\DeltaM_{s,d}$ beyond these frameworks. We calculate the values of $|V_{ub}|$ and$|V_{td}|$ as functions of $\gamma$ and $|V_{cb}|$ and discuss the implicationsof our results for $\varepsilon_K$ and rare $K$ and $B$ decays. We also brieflydiscuss a future strategy in which $\beta$, possibly affected by NP, isreplaced by $|V_{ub}|$.

Emerging $\Delta M_{d}$-Anomaly from Tree-Level Determinations of $|V_{cb}|$ and the Angle $\gamma$