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Photon polarization from helicity suppression in radiative decays of polarized Lambda_b to spin-3/2 baryons

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 Added by Thomas Schietinger
 Publication date 2007
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and research's language is English




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We give a general parameterization of the Lambda_b --> Lambda(1520) gamma decay amplitude, applicable to any strange isosinglet spin-3/2 baryon, and calculate the branching fraction and helicity amplitudes. Large-energy form factor relations are worked out, and it is shown that the helicity-3/2 amplitudes vanish at lowest order in soft-collinear effective theory (SCET). The suppression can be tested experimentally at the LHC and elsewhere, thus providing a benchmark for SCET. We apply the results to assess the experimental reach for a possible wrong-helicity b --> s gamma dipole coupling in Lambda_b --> Lambda(1520) gamma --> p K gamma decays. Furthermore we revisit Lambda_b-polarization at hadron colliders and update the prediction from heavy-quark effective theory. Opportunities associated with b --> d gamma afforded by high-statistics Lambda_b samples are briefly discussed in the general context of CP and flavour violation.



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Using the calculated values of the strong coupling constants of the heavy sextet spin-3/2 baryons to sextet and antitriplet heavy spin-1/2 baryons with light mesons within the light cone QCD sum rules method, and vector meson dominance assumption, the radiative decay widths are calculated. These widths are compared with the direct radiative decay widths predicted in the framework of the light cone QCD sum rules.
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A measurement of the photon polarization in radiative penguin $B$ decays provides a test of the Standard Model and a probe for New Physics, that can lead to a deviation from the Standard Model prediction of left-handed photons in $bto s gamma$. We propose a new method to measure the photon polarization using the baryonic decay $B^- to Lambdabar{p} gamma$. The $P$-violating $Lambda$-hyperon decay allows a measurement of the $Lambda$ helicity to be performed, which can be uniquely related to the photon polarization in a model-independent way. The $B^- to Lambdabar{p} gamma$ decay was recently measured to have a large branching fraction providing a possibility to get meaningful results with the data already available at LHC and B-factory experiments. An increase of the $B$-meson sample at high luminosity LHC experiments and Belle II should provide a really stringent test by using this method already in the near future.
Radiative decays of polarized Lambda_b baryons represent an attractive possibility to measure the helicity of the photon emitted in the b --> s gamma quark transition and thus to subject the Standard Model to a stringent test at existing and future hadron colliders. The most abundant mode, Lambda(1116) gamma, is experimentally very challenging because of the long decay length of the Lambda(1116). We show that the experimentally more accessible Lambda_b --> p K gamma decays proceeding via Lambda resonances may be used to extract the photon helicity for sufficient Lambda_b polarization, if the resonance spin does not exceed 3/2. A direct comparison of the potential of such resonance decays to assess the photon polarization at a hadron collider with respect to the decay to Lambda(1116) is given.
We investigate a new method to probe the helicity of the photon emitted in the b -> s gamma transition. The method relies on the observation of interference effects between two resonance contributions, B -> K*(K gamma) gamma and B -> eta_c(gamma gamma) K or B -> chi_c0(gamma gamma) K to the same final state K gamma gamma. Decays of the type B -> K_res(K gamma) gamma dominate the B -> K gamma gamma yield throughout most of the phase space, and may be accessible at current B meson facilities already.
The radiative decays of $b$-baryons facilitate the direct measurement of photon helicity in $bto sgamma$ transitions thus serving as an important test of physics beyond the Standard Model. In this paper we analyze the complete angular distribution of ground state $b$-baryon ($Lambda_{b}^{0}$ and $Xi_{b}^{-}$) radiative decays to multibody final states assuming an initially polarized $b$-baryon sample. Our sensitivity study suggests that the photon polarization asymmetry can be extracted to a good accuracy along with a simultaneous measurement of the initial $b$-baryon polarization. With higher yields of $b$-baryons, achievable in subsequent runs of the Large Hadron Collider (LHC), we find that the photon polarization measurement can play a pivotal role in constraining different new physics scenarios.
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