Neutrinoless double beta decay and chiral SU(3)
TeVscale lepton number violation can affect neutrinoless double beta decay through dimension9 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 dimension9 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 fourquark operators relevant to the study of TeVscale 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 nexttoleading 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:

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 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1720043
Journal ID: ISSN 03702693; TRN: US1700535
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 769; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Laboratory Directed Research and Development (LDRD) Program
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
 OSTI Identifier:
 1351662
 Alternate Identifier(s):
 OSTI ID: 1352442
Cirigliano, Vincenzo, Dekens, Wouter Gerard, Graesser, Michael Lawrence, and Mereghetti, Emanuele. Neutrinoless double beta decay and chiral SU(3). United States: N. p.,
Web. doi:10.1016/j.physletb.2017.04.020.
Cirigliano, Vincenzo, Dekens, Wouter Gerard, Graesser, Michael Lawrence, & Mereghetti, Emanuele. Neutrinoless double beta decay and chiral SU(3). United States. doi:10.1016/j.physletb.2017.04.020.
Cirigliano, Vincenzo, Dekens, Wouter Gerard, Graesser, Michael Lawrence, and Mereghetti, Emanuele. 2017.
"Neutrinoless double beta decay and chiral SU(3)". United States.
doi:10.1016/j.physletb.2017.04.020.
@article{osti_1351662,
title = {Neutrinoless double beta decay and chiral SU(3)},
author = {Cirigliano, Vincenzo and Dekens, Wouter Gerard and Graesser, Michael Lawrence and Mereghetti, Emanuele},
abstractNote = {TeVscale lepton number violation can affect neutrinoless double beta decay through dimension9 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 dimension9 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 fourquark operators relevant to the study of TeVscale 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 nexttoleading 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. Section B},
number = ,
volume = 769,
place = {United States},
year = {2017},
month = {4}
}