An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays
Abstract In this paper we systematically consider the baryon (B) and lepton (L) number violating dinucleon to dilepton decays (pp → ℓ + ℓ′+ , pn → ℓ + ν ¯ ′ $$ {\mathrm{\ell}}^{+}\overline{\nu}^{\prime } $$ , nn → ν ¯ ν ¯ ′ $$ \overline{\nu}\overline{\nu}^{\prime } $$ ) with ∆B = ∆L = −2 in the fram...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2021)047 |
| _version_ | 1818837112233918464 |
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| author | Xiao-Gang He Xiao-Dong Ma |
| author_facet | Xiao-Gang He Xiao-Dong Ma |
| author_sort | Xiao-Gang He |
| collection | DOAJ |
| description | Abstract In this paper we systematically consider the baryon (B) and lepton (L) number violating dinucleon to dilepton decays (pp → ℓ + ℓ′+ , pn → ℓ + ν ¯ ′ $$ {\mathrm{\ell}}^{+}\overline{\nu}^{\prime } $$ , nn → ν ¯ ν ¯ ′ $$ \overline{\nu}\overline{\nu}^{\prime } $$ ) with ∆B = ∆L = −2 in the framework of effective field theory. We start by constructing a basis of dimension-12 (dim-12) operators mediating such processes in the low energy effective field theory (LEFT) below the electroweak scale. Then we consider their standard model effective field theory (SMEFT) completions upwards and their chiral realizations in baryon chiral perturbation theory (BχPT) downwards. We work to the first nontrivial orders in each effective field theory, collect along the way the matching conditions, and express the decay rates in terms of the Wilson coefficients associated with the dim-12 operators in the SMEFT and the low energy constants pertinent to BχPT. We find the current experimental limits push the associated new physics scale larger than 1 − 3 TeV, which is still accessible to the future collider searches. Through weak isospin symmetry, we find the current experimental limits on the partial lifetime of transitions pp → ℓ + ℓ′+ , pn → ℓ + ν ¯ ′ $$ {\mathrm{\ell}}^{+}\overline{\nu}^{\prime } $$ imply stronger limits on nn → ν ¯ ν ¯ ′ $$ \overline{\nu}\overline{\nu}^{\prime } $$ than their existing lower bounds, which are improved by 2−3 orders of magnitude. Furthermore, assuming charged mode transitions are also dominantly generated by the similar dim-12 SMEFT interactions, the experimental limits on pp → e + e + , e + μ + , μ + μ + lead to stronger limits on pn → ℓ α + ν ¯ β $$ {\mathrm{\ell}}_{\alpha}^{+}{\overline{\nu}}_{\beta } $$ with α, β = e, μ than their existing bounds. Conversely, the same assumptions help us to set a lower bound on the lifetime of the experimentally unsearched mode pp → e + τ + from that of pn → e + ν ¯ τ $$ {e}^{+}{\overline{\nu}}_{\tau } $$ , i.e., Γ pp → e + τ + − 1 ≳ 2 × 10 34 $$ {\Gamma}_{pp\to {e}^{+}{\tau}^{+}}^{-1}\gtrsim 2\times {10}^{34} $$ yr. |
| first_indexed | 2024-12-19T03:17:19Z |
| format | Article |
| id | doaj.art-d6dfae343bbc49a19fd96c03859aef7b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T03:17:19Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d6dfae343bbc49a19fd96c03859aef7b2022-12-21T20:37:51ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-012021614810.1007/JHEP06(2021)047An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decaysXiao-Gang He0Xiao-Dong Ma1Tsung-Dao Lee Institute, and School of Physics and Astronomy, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute, and School of Physics and Astronomy, Shanghai Jiao Tong UniversityAbstract In this paper we systematically consider the baryon (B) and lepton (L) number violating dinucleon to dilepton decays (pp → ℓ + ℓ′+ , pn → ℓ + ν ¯ ′ $$ {\mathrm{\ell}}^{+}\overline{\nu}^{\prime } $$ , nn → ν ¯ ν ¯ ′ $$ \overline{\nu}\overline{\nu}^{\prime } $$ ) with ∆B = ∆L = −2 in the framework of effective field theory. We start by constructing a basis of dimension-12 (dim-12) operators mediating such processes in the low energy effective field theory (LEFT) below the electroweak scale. Then we consider their standard model effective field theory (SMEFT) completions upwards and their chiral realizations in baryon chiral perturbation theory (BχPT) downwards. We work to the first nontrivial orders in each effective field theory, collect along the way the matching conditions, and express the decay rates in terms of the Wilson coefficients associated with the dim-12 operators in the SMEFT and the low energy constants pertinent to BχPT. We find the current experimental limits push the associated new physics scale larger than 1 − 3 TeV, which is still accessible to the future collider searches. Through weak isospin symmetry, we find the current experimental limits on the partial lifetime of transitions pp → ℓ + ℓ′+ , pn → ℓ + ν ¯ ′ $$ {\mathrm{\ell}}^{+}\overline{\nu}^{\prime } $$ imply stronger limits on nn → ν ¯ ν ¯ ′ $$ \overline{\nu}\overline{\nu}^{\prime } $$ than their existing lower bounds, which are improved by 2−3 orders of magnitude. Furthermore, assuming charged mode transitions are also dominantly generated by the similar dim-12 SMEFT interactions, the experimental limits on pp → e + e + , e + μ + , μ + μ + lead to stronger limits on pn → ℓ α + ν ¯ β $$ {\mathrm{\ell}}_{\alpha}^{+}{\overline{\nu}}_{\beta } $$ with α, β = e, μ than their existing bounds. Conversely, the same assumptions help us to set a lower bound on the lifetime of the experimentally unsearched mode pp → e + τ + from that of pn → e + ν ¯ τ $$ {e}^{+}{\overline{\nu}}_{\tau } $$ , i.e., Γ pp → e + τ + − 1 ≳ 2 × 10 34 $$ {\Gamma}_{pp\to {e}^{+}{\tau}^{+}}^{-1}\gtrsim 2\times {10}^{34} $$ yr.https://doi.org/10.1007/JHEP06(2021)047Beyond Standard ModelEffective Field TheoriesGlobal Symmetries |
| spellingShingle | Xiao-Gang He Xiao-Dong Ma An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays Journal of High Energy Physics Beyond Standard Model Effective Field Theories Global Symmetries |
| title | An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays |
| title_full | An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays |
| title_fullStr | An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays |
| title_full_unstemmed | An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays |
| title_short | An EFT toolbox for baryon and lepton number violating dinucleon to dilepton decays |
| title_sort | eft toolbox for baryon and lepton number violating dinucleon to dilepton decays |
| topic | Beyond Standard Model Effective Field Theories Global Symmetries |
| url | https://doi.org/10.1007/JHEP06(2021)047 |
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