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 ar...

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Main Authors: V. Cirigliano, W. Dekens, M. Graesser, E. Mereghetti
Format: Article
Language:English
Published: Elsevier 2017-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317302940
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spelling doaj-52150d9ab2fa47ac98c0e0f0d6447f1a2020-11-24T21:07:55ZengElsevierPhysics Letters B0370-26931873-24452017-06-01769C46046410.1016/j.physletb.2017.04.020Neutrinoless double beta decay and chiral SU(3)V. Cirigliano0W. Dekens1M. Graesser2E. Mereghetti3Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USATheoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USATheoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USATheoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USATeV-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. 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 K0→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.http://www.sciencedirect.com/science/article/pii/S0370269317302940
collection DOAJ
language English
format Article
sources DOAJ
author V. Cirigliano
W. Dekens
M. Graesser
E. Mereghetti
spellingShingle V. Cirigliano
W. Dekens
M. Graesser
E. Mereghetti
Neutrinoless double beta decay and chiral SU(3)
Physics Letters B
author_facet V. Cirigliano
W. Dekens
M. Graesser
E. Mereghetti
author_sort V. Cirigliano
title Neutrinoless double beta decay and chiral SU(3)
title_short Neutrinoless double beta decay and chiral SU(3)
title_full Neutrinoless double beta decay and chiral SU(3)
title_fullStr Neutrinoless double beta decay and chiral SU(3)
title_full_unstemmed Neutrinoless double beta decay and chiral SU(3)
title_sort neutrinoless double beta decay and chiral su(3)
publisher Elsevier
series Physics Letters B
issn 0370-2693
1873-2445
publishDate 2017-06-01
description 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. 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 K0→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.
url http://www.sciencedirect.com/science/article/pii/S0370269317302940
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AT wdekens neutrinolessdoublebetadecayandchiralsu3
AT mgraesser neutrinolessdoublebetadecayandchiralsu3
AT emereghetti neutrinolessdoublebetadecayandchiralsu3
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