Implications of recent LHCb data on CPV in b-baryon four body decays

Abstract

Motivated by the recent CPV observation, we investigate the CPV of b-baryon charmless four body decays under the U-spin symmetry. However, we find that only U-spin symmetry cannot provide effective predictions, particularly for ${\Lambda }_b$ decays. For giving more useful predictions, we also give a simple dynamic analysis. By counting the power($\lambda =\sqrt{\frac{{\Lambda }_{QCD}}{m_b}}$) of each topological diagram, we find that for the specific decay $B_b^2\to R(B_1^2{M}^2{M}^{\bar{2}})M^2$, only one U-spin amplitude can contribute in the leading power, while for $B_b^2\to R(B_1^2{M}^2)R(M^{\bar{2}}{M}^2)$, only two U-spin amplitudes can contribute in this leading power. Then the most effective prediction can be given as \begin{align} &A_{CP}^{dir}(Λ_b^0 \to R( p π^- π^+ )π^-) = (-12.99 \pm 2.83\pm2.59\pm0.65)\%,\notag \end{align} Considering the ${\Lambda }_b$ can effectively produced in LHCb, we strongly encourage a more precise experimental investigation of it.

20 pages, 2figures, published in Phys.Rev.D 112 (2025) 3, 033010

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