The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909796749279232 |
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| author | Chen, You-Cai Liu, Tai-Xing Fang, Dong-Liang |
| author_facet | Chen, You-Cai Liu, Tai-Xing Fang, Dong-Liang |
| contents | We investigate the process of lepton-number-violating pion decay, which dominates the nuclear neutrinoless double beta decay induced by the short-range operator, within the type-\uppercase\expandafter{\romannumeral1} seesaw mechanism. The type-\uppercase\expandafter{\romannumeral1} seesaw mechanism gives rise to the Dirac and Majorana mass terms of neutrinos by introducing the gauge-singlet right-handed neutrinos, which are usually called sterile neutrinos. Using chiral perturbation theory, the transition amplitudes in the case of the light and heavy sterile neutrinos are calculated up to $\mathcal{O}(Q^2/Λ^2_χ)$ respectively, where $Q$ is the typical low-energy scale in this process and $Λ_χ$ the chiral symmetry breaking scale. We then adopt a naive interpolation formula of mass dependence to obtain the amplitude in the full mass range and briefly discuss its validity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory Chen, You-Cai Liu, Tai-Xing Fang, Dong-Liang High Energy Physics - Phenomenology We investigate the process of lepton-number-violating pion decay, which dominates the nuclear neutrinoless double beta decay induced by the short-range operator, within the type-\uppercase\expandafter{\romannumeral1} seesaw mechanism. The type-\uppercase\expandafter{\romannumeral1} seesaw mechanism gives rise to the Dirac and Majorana mass terms of neutrinos by introducing the gauge-singlet right-handed neutrinos, which are usually called sterile neutrinos. Using chiral perturbation theory, the transition amplitudes in the case of the light and heavy sterile neutrinos are calculated up to $\mathcal{O}(Q^2/Λ^2_χ)$ respectively, where $Q$ is the typical low-energy scale in this process and $Λ_χ$ the chiral symmetry breaking scale. We then adopt a naive interpolation formula of mass dependence to obtain the amplitude in the full mass range and briefly discuss its validity. |
| title | The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.17373 |