Abstract
Abstract
In this paper, we continue to construct the low-energy effective field theories (EFTs) of the canonical seesaw models, which are natural extensions of the Standard Model (SM) to accommodate tiny but nonzero neutrino masses. Different from three right-handed neutrino singlets in the type-I seesaw model, the Higgs triplet in the type-II seesaw model participates directly in the electroweak gauge interactions, rendering the EFT construction more challenging. By integrating out the heavy Higgs triplet in the functional-integral formalism, we carry out a complete one-loop matching of the type-II seesaw model onto the so-called Standard Model Effective Field Theory (SMEFT). It turns out that 41 dimension-six operators (barring flavor structures and Hermitian conjugates) in the Warsaw basis of the SMEFT can be obtained, covering all those 31 dimension-six operators in the case of type-I seesaw model. The Wilson coefficients for 41 dimension-six operators are computed up to $$ \mathcal{O}\left({M}_{\Delta }^{-2}\right) $$
O
M
∆
−
2
with M∆ being the mass scale of the Higgs triplet. Moreover, the branching ratios of rare radiative decays of charged leptons $$ {l}_{\alpha}^{-}\to {l}_{\beta}^{-}+\gamma $$
l
α
−
→
l
β
−
+
γ
are calculated in the EFT and compared with that in the full theory in order to demonstrate the practical application and the correctness of our EFT construction.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
16 articles.
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