Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\rightarrow P P$ decays

Tobias Huber; Gilberto Tetlalmatzi-Xolocotzi

doi:10.1140/epjc/s10052-022-10068-8

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arXiv · 2111.06418

Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\rightarrow P P$ decays

Tobias Huber·Gilberto Tetlalmatzi-Xolocotzi

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Abstract

We estimate the potential size of the weak annihilation amplitudes in QCD factorization as allowed by experimental data. To achieve this goal, we establish a connection between the amplitudes in the QCD factorization and the so-called topological and $SU(3)$-invariant descriptions. Our approach is based purely on the analysis of the tensor structure of the decay amplitudes. By focusing on the processes $B\rightarrow P P$ and considering data from CP asymmetries and branching fractions, we perform a global fit to the $SU(3)$-irreducible quantities assuming minimal theoretical bias. Subsequently we translate the outcome to the QCD factorization decomposition, and find that the most constrained weak annihilation amplitudes are below $4\%$. However, in view of the large uncertainties in several of the experimental input parameters, values up to $30\%$ are allowed in certain cases.

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Tobias Huber, Gilberto Tetlalmatzi-Xolocotzi. 2021-11-11. Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\rightarrow P P$ decays. https://doi.org/10.1140/epjc%2Fs10052-022-10068-8

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