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Exploring the flavor structure of quarks and leptons with reinforcement learning

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arxiv 2304.14176 v3 pith:55SZBBPL submitted 2023-04-27 hep-ph cs.LGhep-th

Exploring the flavor structure of quarks and leptons with reinforcement learning

classification hep-ph cs.LGhep-th
keywords flavorleptonsorderingquarkslearningreinforcementstructureagent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a method to explore the flavor structure of quarks and leptons with reinforcement learning. As a concrete model, we utilize a basic value-based algorithm for models with $U(1)$ flavor symmetry. By training neural networks on the $U(1)$ charges of quarks and leptons, the agent finds 21 models to be consistent with experimentally measured masses and mixing angles of quarks and leptons. In particular, an intrinsic value of normal ordering tends to be larger than that of inverted ordering, and the normal ordering is well fitted with the current experimental data in contrast to the inverted ordering. A specific value of effective mass for the neutrinoless double beta decay and a sizable leptonic CP violation induced by an angular component of flavon field are predicted by autonomous behavior of the agent. Our finding results indicate that the reinforcement learning can be a new method for understanding the flavor structure.

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Cited by 7 Pith papers

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