TY - JOUR

T1 - Extended Black box theorem for lepton number and flavor violating processes

AU - Hirsch, Martin

AU - Kovalenko, Sergey

AU - Schmidt, Ivan

N1 - Funding Information:
This work was supported by the FONDECYT projects 1030244 and 1030355, by Spanish grant FPA2005-01269 and by the European Commission Human Potential Program RTN network MRTN-CT-2004-503369, as well as the EU Network of Astroparticle Physics (ENTApP) WP1. M.H. is supported by an MCyT Ramon y Cajal contract.

PY - 2006/11/2

Y1 - 2006/11/2

N2 - We revisit the well-known "Black box" theorem establishing a fundamental relation between the amplitude of neutrinoless double beta decay and the effective Majorana neutrino mass. We extend this theorem to the general case of arbitrary lepton number and lepton flavor violating (LFNV) processes and to the three generation Majorana neutrino mass matrix. We demonstrate the existence of a general set of one-to-one correspondence relations between the effective operators generating these processes, and elements of the neutrino mass matrix, such that if one of these two quantities vanishes the other is guaranteed to vanish as well, and moreover, if one of these quantities is non-zero the other is guaranteed to be non-zero. We stress that this statement remains valid even in the presence of arbitrary new physics contributions. As a particularly important example, we then show that neutrino oscillation data imply that neutrinoless double beta decay must occur at a certain non-zero rate, if neutrinos are Majorana particles.

AB - We revisit the well-known "Black box" theorem establishing a fundamental relation between the amplitude of neutrinoless double beta decay and the effective Majorana neutrino mass. We extend this theorem to the general case of arbitrary lepton number and lepton flavor violating (LFNV) processes and to the three generation Majorana neutrino mass matrix. We demonstrate the existence of a general set of one-to-one correspondence relations between the effective operators generating these processes, and elements of the neutrino mass matrix, such that if one of these two quantities vanishes the other is guaranteed to vanish as well, and moreover, if one of these quantities is non-zero the other is guaranteed to be non-zero. We stress that this statement remains valid even in the presence of arbitrary new physics contributions. As a particularly important example, we then show that neutrino oscillation data imply that neutrinoless double beta decay must occur at a certain non-zero rate, if neutrinos are Majorana particles.

KW - Lepton flavor violation

KW - Neutrino

KW - New physics

UR - http://www.scopus.com/inward/record.url?scp=33749640211&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.09.012

DO - 10.1016/j.physletb.2006.09.012

M3 - Article

AN - SCOPUS:33749640211

VL - 642

SP - 106

EP - 110

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -