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Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$

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arxiv 2012.11117 v2 pith:227NBA32 submitted 2020-12-21 hep-ph

classification hep-ph
keywords lagrangianmathcalbaryonscharmedchiraldoublyeffectiveorder
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abstract

The chiral effective meson-baryon Lagrangian for the description of interactions between the doubly charmed baryons and Goldstone bosons is constructed up to the order of $q^{4}$. The numbers of linearly independent invariant monomials of $\mathcal{O}(q^2)$, $\mathcal{O}(q^3)$ and $\mathcal{O}(q^4)$ are 8, 32 and 218, in order. The obtained Lagrangian can be used to study the chiral dynamics and relevant phenomenology of the doubly charmed baryons at complete one-loop level in future. For completeness, the non-relativistic reduction of the Lagrangian is also discussed.

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  1. The effects of polarization on the observables in the decay $\Xi_{cc}^{++} \rightarrow \Xi_{c}^{+} \bar{\ell}\nu_{\ell}$

    hep-ph 2026-03 accept novelty 5.5 of 10

    Polarization of the parent baryon, daughter baryon, and muon strongly reshapes branching ratios, forward-backward asymmetries, and newly defined polarization ratios in Ξ_cc++ → Ξ_c+ ℓ ν, while the μ/e LFU ratio stays ...

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