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Title: Neutrinoless double beta decay and chiral SU (3)

Abstract

TeV-scale lepton number violation can affect neutrinoless double beta decay through dimension-9 ΔL=ΔI=2 operators involving two electrons and four quarks. Since the dominant effects within a nucleus are expected to arise from pion exchange, the π -→π +ee matrix elements of the dimension-9 operators are a key hadronic input. Here in this letter we provide estimates for the π -→π + matrix elements of all Lorentz scalar ΔI=2 four-quark operators relevant to the study of TeV-scale lepton number violation. The analysis is based on chiral SU(3) symmetry, which relates the π -→π + matrix elements of the ΔI=2 operators to the $K$ 0→$$\bar{K}$$ 0 and K→ππ matrix elements of their ΔS=2 and ΔS=1 chiral partners, for which lattice QCD input is available. The inclusion of next-to-leading order chiral loop corrections to all symmetry relations used in the analysis makes our results robust at the 30% level or better, depending on the operator.

Authors:
; ; ;
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1351662
Alternate Identifier(s):
OSTI ID: 1352442
Report Number(s):
LA-UR-17-20043
Journal ID: ISSN 0370-2693; S0370269317302940; PII: S0370269317302940
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 769 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats

Cirigliano, V., Dekens, W., Graesser, M., and Mereghetti, E. Neutrinoless double beta decay and chiral SU (3). Netherlands: N. p., 2017. Web. doi:10.1016/j.physletb.2017.04.020.
Cirigliano, V., Dekens, W., Graesser, M., & Mereghetti, E. Neutrinoless double beta decay and chiral SU (3). Netherlands. doi:10.1016/j.physletb.2017.04.020.
Cirigliano, V., Dekens, W., Graesser, M., and Mereghetti, E. Thu . "Neutrinoless double beta decay and chiral SU (3)". Netherlands. doi:10.1016/j.physletb.2017.04.020.
@article{osti_1351662,
title = {Neutrinoless double beta decay and chiral SU (3)},
author = {Cirigliano, V. and Dekens, W. and Graesser, M. and Mereghetti, E.},
abstractNote = {TeV-scale lepton number violation can affect neutrinoless double beta decay through dimension-9 ΔL=ΔI=2 operators involving two electrons and four quarks. Since the dominant effects within a nucleus are expected to arise from pion exchange, the π-→π+ee matrix elements of the dimension-9 operators are a key hadronic input. Here in this letter we provide estimates for the π-→π+ matrix elements of all Lorentz scalar ΔI=2 four-quark operators relevant to the study of TeV-scale lepton number violation. The analysis is based on chiral SU(3) symmetry, which relates the π-→π+ matrix elements of the ΔI=2 operators to the $K$0→$\bar{K}$0 and K→ππ matrix elements of their ΔS=2 and ΔS=1 chiral partners, for which lattice QCD input is available. The inclusion of next-to-leading order chiral loop corrections to all symmetry relations used in the analysis makes our results robust at the 30% level or better, depending on the operator.},
doi = {10.1016/j.physletb.2017.04.020},
journal = {Physics Letters B},
number = C,
volume = 769,
place = {Netherlands},
year = {2017},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2017.04.020

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Cited by: 6 works
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