Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
Abstract
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:
 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:
 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
 OSTI Identifier:
 1416309
 Report Number(s):
 LAUR1727799
Journal ID: ISSN 10298479
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Journal Article: 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
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; beyond standard model; chiral lagrangians; effective field theories
Citation Formats
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., 2017.
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 =
}
Web of Science

Lepton number violation in doublebeta decay
A model for neutrinoless doublebeta decay is presented in which the leptonviolating twoelectron current couples to the nucleus in a flrstorder superweak interaction with coupling strength G'. The interaction is assumed to proceed via an N*(1236), with a probability of finding the resonance in the parent or daughter nucleus of roughly 1%. The coupling strength necessary to provide results consistent with all presently available data is found to be G' approx equal 10/sup 13/ G, where G is the weak coupling strength. (auth) 
Muonic analogue of nuclear double [beta] decay: A new window on lepton number violation
We examine an exotic nuclear muon capture reaction [mu][sup [minus]]+([ital Z],[ital A])[r arrow][mu][sup +]+([ital Z][minus]2,[ital A]), as a means of studying possible lepton number violation. We estimate the branching ratio for this in simple extensions of the standard model and find it to be at most of the order of 10[sup [minus]18]. 
CP violation, tritium beta decay, and neutrinoless doublebeta decay
CPviolation effects in neutrinoless doublebeta decays are discussed in the case of twogeneration Majorana neutrinos. It is shown that the recent experimental results of /sup 3/H beta decay and neutrinoless doublebeta decay, when taken at their face values, imply that the CPviolating phase angle in the mixing matrix for the lefthanded lepton sector must be less than 16/sup 0/. 
Neutrinoless double {beta} decay and {ital CP} violation
We study the relation between the Majorana neutrino mass matrices and the neutrinoless double {beta} decay when {ital CP} is not conserved. We give an explicit form of the decay rate in terms of a rephasinginvariant quantity and demonstrate that in the presence of {ital CP} violation there must be neutrinoless double {beta} decay in the case of two neutrino generations (or when the third generation leptons do not mix with other leptons and hence decouple).