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The radiative decays of $b$-baryons facilitate the direct measurement ofphoton helicity in $b\to s\gamma$ transitions thus serving as an important testof physics beyond the Standard Model. In this paper we analyze the completeangular distribution of ground state $b$-baryon ($\Lambda_{b}^{0}$ and$\Xi_{b}^{-}$) radiative decays to multibody final states assuming an initiallypolarized $b$-baryon sample. Our sensitivity study suggests that the photonpolarization asymmetry can be extracted to a good accuracy along with asimultaneous measurement of the initial $b$-baryon polarization. With higheryields of $b$-baryons, achievable in subsequent runs of the Large HadronCollider (LHC), we find that the photon polarization measurement can play apivotal role in constraining different new physics scenarios.

Radiative $b$-baryon decays to measure the photon and $b$-baryon polarization