Neutrinoless doubleβ decay and nuclear transition matrix elements
Abstract
Within mechanisms involving the light Majorana neutrinos, squarkneutrino, Majorons, sterile neutrinos and heavy Majorana neutrino, nuclear transition matrix elements for the neutrinoless (β{sup −}β{sup −}){sub 0ν} decay of {sup 96}Zr, {sup 100}Mo, {sup 128,130}Te and {sup 150}Nd nuclei are calculated by employing the PHFB approach. Effects due to finite size of nucleons, higher order currents, short range correlations, and deformations of parent as well as daughter nuclei on the calculated matrix elements are estimated. Uncertainties in nuclear transition matrix elements within longranged mechanisms but for double Majoron accompanied (β{sup −}β{sup −}ϕϕ){sub 0ν} decay modes are 9%–15%. In the case of short ranged heavy Majorona neutrino exchange mechanism, the maximum uncertainty is about 35%. The maximum systematic error within the mechanism involving the exchange of light Majorana neutrino is about 46%.
 Authors:
 Department of Physics, University of Lucknow, Lucknow226007, India Email: pkrathlu@yahoo.co.in (India)
 Publication Date:
 OSTI Identifier:
 22492671
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1686; Journal Issue: 1; Conference: MEDEX'15: Workshop on calculation of doublebetadecay matrix elements, Prague (Czech Republic), 912 Jun 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEFORMATION; DOUBLE BETA DECAY; ERRORS; MAJORONS; MATRIX ELEMENTS; MOLYBDENUM 100; NEODYMIUM 150; NEUTRINOS; NUCLEONS; TELLURIUM 130; ZIRCONIUM 96
Citation Formats
Rath, P. K. Neutrinoless doubleβ decay and nuclear transition matrix elements. United States: N. p., 2015.
Web. doi:10.1063/1.4934908.
Rath, P. K. Neutrinoless doubleβ decay and nuclear transition matrix elements. United States. doi:10.1063/1.4934908.
Rath, P. K. 2015.
"Neutrinoless doubleβ decay and nuclear transition matrix elements". United States.
doi:10.1063/1.4934908.
@article{osti_22492671,
title = {Neutrinoless doubleβ decay and nuclear transition matrix elements},
author = {Rath, P. K.},
abstractNote = {Within mechanisms involving the light Majorana neutrinos, squarkneutrino, Majorons, sterile neutrinos and heavy Majorana neutrino, nuclear transition matrix elements for the neutrinoless (β{sup −}β{sup −}){sub 0ν} decay of {sup 96}Zr, {sup 100}Mo, {sup 128,130}Te and {sup 150}Nd nuclei are calculated by employing the PHFB approach. Effects due to finite size of nucleons, higher order currents, short range correlations, and deformations of parent as well as daughter nuclei on the calculated matrix elements are estimated. Uncertainties in nuclear transition matrix elements within longranged mechanisms but for double Majoron accompanied (β{sup −}β{sup −}ϕϕ){sub 0ν} decay modes are 9%–15%. In the case of short ranged heavy Majorona neutrino exchange mechanism, the maximum uncertainty is about 35%. The maximum systematic error within the mechanism involving the exchange of light Majorana neutrino is about 46%.},
doi = {10.1063/1.4934908},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1686,
place = {United States},
year = 2015,
month =
}

We explore the theoretical uncertainties related to the transition operator of neutrinoless doublebeta (0νββ) decay. The transition operator used in standard calculations is a product of onebody currents, that can be obtained phenomenologically as in Tomoda [1] or Šimkovic et al. [2]. However, corrections to the operator are hard to obtain in the phenomenological approach. Instead, we calculate the 0νββ decay operator in the framework of chiral effective theory (EFT), which gives a systematic orderbyorder expansion of the transition currents. At leading orders in chiral EFT we reproduce the standard onebody currents of Refs. [1] and [2]. Corrections appear asmore »

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