Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
Abstract We analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where w...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)082 |
| _version_ | 1818060313759580160 |
|---|---|
| author | V. Cirigliano W. Dekens J. de Vries M. L. Graesser E. Mereghetti |
| author_facet | V. Cirigliano W. Dekens J. de Vries M. L. Graesser E. Mereghetti |
| author_sort | V. Cirigliano |
| collection | DOAJ |
| description | Abstract We analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where we match them to effective dimension-six, -seven, and -nine operators. In the next step, after renormalization group evolution to the QCD scale, we construct the chiral Lagrangian arising from these operators. We develop a power-counting scheme and derive the two-nucleon 0νββ currents up to leading order in the power counting for each lepton-number-violating operator. We argue that the leading-order contribution to the decay rate depends on a relatively small number of nuclear matrix elements. We test our power counting by comparing nuclear matrix elements obtained by various methods and by different groups. We find that the power counting works well for nuclear matrix elements calculated from a specific method, while, as in the case of light Majorana neutrino exchange, the overall magnitude of the matrix elements can differ by factors of two to three between methods. We calculate the constraints that can be set on dimension-seven lepton-number-violating operators from 0νββ experiments and study the interplay between dimension-five and -seven operators, discussing how dimension-seven contributions affect the interpretation of 0νββ in terms of the effective Majorana mass m ββ . |
| first_indexed | 2024-12-10T13:30:26Z |
| format | Article |
| id | doaj.art-5cf1e04452ad4c18b3889c3bb00d48bf |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T13:30:26Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5cf1e04452ad4c18b3889c3bb00d48bf2022-12-22T01:46:59ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171215710.1007/JHEP12(2017)082Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension sevenV. Cirigliano0W. Dekens1J. de Vries2M. L. Graesser3E. Mereghetti4Theoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryNikhef, Theory GroupTheoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryAbstract We analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where we match them to effective dimension-six, -seven, and -nine operators. In the next step, after renormalization group evolution to the QCD scale, we construct the chiral Lagrangian arising from these operators. We develop a power-counting scheme and derive the two-nucleon 0νββ currents up to leading order in the power counting for each lepton-number-violating operator. We argue that the leading-order contribution to the decay rate depends on a relatively small number of nuclear matrix elements. We test our power counting by comparing nuclear matrix elements obtained by various methods and by different groups. We find that the power counting works well for nuclear matrix elements calculated from a specific method, while, as in the case of light Majorana neutrino exchange, the overall magnitude of the matrix elements can differ by factors of two to three between methods. We calculate the constraints that can be set on dimension-seven lepton-number-violating operators from 0νββ experiments and study the interplay between dimension-five and -seven operators, discussing how dimension-seven contributions affect the interpretation of 0νββ in terms of the effective Majorana mass m ββ .http://link.springer.com/article/10.1007/JHEP12(2017)082Beyond Standard ModelChiral LagrangiansEffective Field Theories |
| spellingShingle | V. Cirigliano W. Dekens J. de Vries M. L. Graesser E. Mereghetti Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven Journal of High Energy Physics Beyond Standard Model Chiral Lagrangians Effective Field Theories |
| title | Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven |
| title_full | Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven |
| title_fullStr | Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven |
| title_full_unstemmed | Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven |
| title_short | Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven |
| title_sort | neutrinoless double beta decay in chiral effective field theory lepton number violation at dimension seven |
| topic | Beyond Standard Model Chiral Lagrangians Effective Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP12(2017)082 |
| work_keys_str_mv | AT vcirigliano neutrinolessdoublebetadecayinchiraleffectivefieldtheoryleptonnumberviolationatdimensionseven AT wdekens neutrinolessdoublebetadecayinchiraleffectivefieldtheoryleptonnumberviolationatdimensionseven AT jdevries neutrinolessdoublebetadecayinchiraleffectivefieldtheoryleptonnumberviolationatdimensionseven AT mlgraesser neutrinolessdoublebetadecayinchiraleffectivefieldtheoryleptonnumberviolationatdimensionseven AT emereghetti neutrinolessdoublebetadecayinchiraleffectivefieldtheoryleptonnumberviolationatdimensionseven |