Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution
Abstract This is the first paper of our systematic efforts on lepton number violating (LNV) hadronic decays in the effective field theory approach. These decays provide information complementary to popular nuclear neutrinoless double-β (0νββ) decay in that they can probe LNV interactions involving h...
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2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)127 |
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| author | Yi Liao Xiao-Dong Ma Hao-Lin Wang |
| author_facet | Yi Liao Xiao-Dong Ma Hao-Lin Wang |
| author_sort | Yi Liao |
| collection | DOAJ |
| description | Abstract This is the first paper of our systematic efforts on lepton number violating (LNV) hadronic decays in the effective field theory approach. These decays provide information complementary to popular nuclear neutrinoless double-β (0νββ) decay in that they can probe LNV interactions involving heavier quarks and charged leptons. We may call them hadronic 0νββ decays in short, though β refers to all charged leptons. In this work we investigate the decays K±→ π∓l±l± that arise from short-distance or contact interactions involving four quark fields and two charged lepton fields, which have canonical dimension nine (dim-9) at leading order in low energy effective field theory (LEFT). We make a complete analysis on the basis of all dim-9 operators that violate lepton number by two units, and compute their one-loop QCD renormalization effects. We match these effective interactions in LEFT to those in chiral perturbation theory (χPT) for pseudoscalar mesons, and determine the resulting hadronic low energy constants (LECs) by chiral symmetry and lattice results in the literature. The obtained decay rate is general in that all physics at and above the electroweak scale is completely parameterized by the relevant Wilson coefficients in LEFT and hadronic LECs in χPT. Assuming the standard model effective field theory (SMEFT) is the appropriate effective field theory between some new physics scale and the electroweak scale, we match our LEFT results to SMEFT whose leading effective interactions arise from LNV dim-7 operators. This connection to SMEFT simplifies significantly the interaction structures entering in the kaon decays, and we employ the current experimental bounds to set constraints on the relevant Wilson coefficients in SMEFT. |
| format | Article |
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| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-0bb8c344037244eabbf293f5238a05df2025-01-26T12:11:27ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113110.1007/JHEP01(2020)127Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contributionYi Liao0Xiao-Dong Ma1Hao-Lin Wang2School of Physics, Nankai UniversitySchool of Physics, Nankai UniversitySchool of Physics, Nankai UniversityAbstract This is the first paper of our systematic efforts on lepton number violating (LNV) hadronic decays in the effective field theory approach. These decays provide information complementary to popular nuclear neutrinoless double-β (0νββ) decay in that they can probe LNV interactions involving heavier quarks and charged leptons. We may call them hadronic 0νββ decays in short, though β refers to all charged leptons. In this work we investigate the decays K±→ π∓l±l± that arise from short-distance or contact interactions involving four quark fields and two charged lepton fields, which have canonical dimension nine (dim-9) at leading order in low energy effective field theory (LEFT). We make a complete analysis on the basis of all dim-9 operators that violate lepton number by two units, and compute their one-loop QCD renormalization effects. We match these effective interactions in LEFT to those in chiral perturbation theory (χPT) for pseudoscalar mesons, and determine the resulting hadronic low energy constants (LECs) by chiral symmetry and lattice results in the literature. The obtained decay rate is general in that all physics at and above the electroweak scale is completely parameterized by the relevant Wilson coefficients in LEFT and hadronic LECs in χPT. Assuming the standard model effective field theory (SMEFT) is the appropriate effective field theory between some new physics scale and the electroweak scale, we match our LEFT results to SMEFT whose leading effective interactions arise from LNV dim-7 operators. This connection to SMEFT simplifies significantly the interaction structures entering in the kaon decays, and we employ the current experimental bounds to set constraints on the relevant Wilson coefficients in SMEFT.https://doi.org/10.1007/JHEP01(2020)127Beyond Standard ModelEffective Field TheoriesKaon PhysicsNeutrino Physics |
| spellingShingle | Yi Liao Xiao-Dong Ma Hao-Lin Wang Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution Journal of High Energy Physics Beyond Standard Model Effective Field Theories Kaon Physics Neutrino Physics |
| title | Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution |
| title_full | Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution |
| title_fullStr | Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution |
| title_full_unstemmed | Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution |
| title_short | Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution |
| title_sort | effective field theory approach to lepton number violating decays k π∓l l short distance contribution |
| topic | Beyond Standard Model Effective Field Theories Kaon Physics Neutrino Physics |
| url | https://doi.org/10.1007/JHEP01(2020)127 |
| work_keys_str_mv | AT yiliao effectivefieldtheoryapproachtoleptonnumberviolatingdecayskpllshortdistancecontribution AT xiaodongma effectivefieldtheoryapproachtoleptonnumberviolatingdecayskpllshortdistancecontribution AT haolinwang effectivefieldtheoryapproachtoleptonnumberviolatingdecayskpllshortdistancecontribution |