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A Possible Solution of B → ππ Puzzle in Z’ Model

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Abstract

The discrepancies among the measurements of branching ratios and CP asymmetries of B → ππ decays such as large direct CP asymmetry for B0 → π+π− mode and large branching ratio for B0 → π0π0 mode originate the B → ππ puzzle. According to diagrammatic approach of this b → d transition the small ratio of color-suppressed amplitude (C) to color-allowed one (T) contradicts between the standard model (SM) approach and the experimental values. To make out the ambiguity we need to scrutinize the decays with different topological amplitudes. In this paper, the decays are studied in the SM by taking different values of \( \raisebox{1ex}{$C$}\!\left/ \!\raisebox{-1ex}{$T$}\right. \) as constraints. We find that larger ratio of \( \raisebox{1ex}{$C$}\!\left/ \!\raisebox{-1ex}{$T$}\right. \) is explained successfully in the SM but the lower ratio is not for which new physics (NP) is needed. The NP contribution can be included in B → ππ decays at tree level by Z′ boson. Here, we find that Z′ model can explain the puzzle by providing a good solution for lower ratio of\( \kern0.5em \raisebox{1ex}{$C$}\!\left/ \!\raisebox{-1ex}{$T$}\right. \).

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Acknowledgements

We thank the reviewers for suggesting valuable improvements of our manuscript. S. Biswas acknowledges NIT Durgapur for providing fellowship for her research. P. Nayek and S. Sahoo would like to thank SERB, DST, Govt. of India for financial support through grant no. EMR/2015/000817. We also thank to Srikanta Tripathy, Institute of Physics, Bhubaneswar, Odisha, India and Sudip Mandal for useful discussions.

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  1. Department of Physics, National Institute of Technology, Durgapur, West Bengal, 713209, India

    S. Biswas, P. Nayek & S. Sahoo

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Biswas, S., Nayek, P. & Sahoo, S. A Possible Solution of B → ππ Puzzle in Z’ Model. Int J Theor Phys 58, 4170–4183 (2019). https://doi.org/10.1007/s10773-019-04283-5

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