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

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:
ORCiD logo [1] ;  [1] ; ORCiD logo [1] ;  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-20043
Journal ID: ISSN 0370-2693; TRN: US1700535
Grant/Contract Number:
AC52-06NA25396
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 769; Journal ID: ISSN 0370-2693
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 = {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. Section B},
number = ,
volume = 769,
place = {United States},
year = {2017},
month = {4}
}