Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
Here, we analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimensionfive 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 dimensionsix, 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 then develop a powercounting scheme and derive the twonucleon 0νββ currents up to leading order in the power counting for each leptonnumberviolating operator. We argue that the leadingorder 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 also calculate the constraints that can be set on dimensionseven leptonnumberviolating operators from 0νββ experiments and study the interplaymore »
 Authors:

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 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); New Mexico Consortium, Los Alamos, NM (United States)
 Nikhef, Amsterdam (Netherlands)
 Publication Date:
 Report Number(s):
 LAUR1727799
Journal ID: ISSN 10298479; TRN: US1800913
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); Dutch Organization for Scientific Research
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics; Neutrinoless double beta decay
 OSTI Identifier:
 1416309
Cirigliano, V., Dekens, W., de Vries, J., Graesser, M. L., and Mereghetti, E.. Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven. United States: N. p.,
Web. doi:10.1007/JHEP12(2017)082.
Cirigliano, V., Dekens, W., de Vries, J., Graesser, M. L., & Mereghetti, E.. Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven. United States. doi:10.1007/JHEP12(2017)082.
Cirigliano, V., Dekens, W., de Vries, J., Graesser, M. L., and Mereghetti, E.. 2017.
"Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven". United States.
doi:10.1007/JHEP12(2017)082. https://www.osti.gov/servlets/purl/1416309.
@article{osti_1416309,
title = {Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven},
author = {Cirigliano, V. and Dekens, W. and de Vries, J. and Graesser, M. L. and Mereghetti, E.},
abstractNote = {Here, we analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimensionfive 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 dimensionsix, 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 then develop a powercounting scheme and derive the twonucleon 0νββ currents up to leading order in the power counting for each leptonnumberviolating operator. We argue that the leadingorder 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 also calculate the constraints that can be set on dimensionseven leptonnumberviolating operators from 0νββ experiments and study the interplay between dimensionfive and seven operators, discussing how dimensionseven contributions affect the interpretation of 0νββ in terms of the effective Majorana mass m ββ .},
doi = {10.1007/JHEP12(2017)082},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2017,
place = {United States},
year = {2017},
month = {12}
}