scholarly journals ERRATA: CONSTRAINTS OF MIXING ANGLES FROM LEPTON NUMBER VIOLATING PROCESSES

1999 ◽  
Vol 14 (08n09) ◽  
pp. 629-629 ◽  
Author(s):  
H. Nishiura ◽  
K. Matsuda ◽  
T. Fukuyama
1999 ◽  
Vol 14 (06) ◽  
pp. 433-445 ◽  
Author(s):  
HIROYUKI NISHIURA ◽  
KOUICHI MATSUDA ◽  
TAKESHI FUKUYAMA

We discuss the constraints of lepton mixing angles from lepton number violating processes such as neutrinoless double beta decay, μ--e+ conversion and K decay, K-→π+μ-μ- which are allowed only if neutrinos are Majorana particles. The rates of these processes are proportional to the averaged neutrino mass defined by [Formula: see text] in the absence of right-handed weak coupling. Here a, b(j) are flavor(mass) eigenstates and Uaj is the left-handed lepton mixing matrix. We give general conditions imposed on <mν>ab in terms of mi, lepton mixing angles and CP violating phases (three phases in Majorana neutrinos). These conditions are reduced to the constraints among mi, lepton mixing angles and <mν>ab which are irrelevant to the concrete values of CP phases. Given a <mν>ab experimentally, these conditions constrain mi and the lepton mixing angles. Though these constraints are still loose except for neutrinoless double beta decay, they will become helpful through rapid improvements of experiments. By using these constraints we also derive the limits on averaged neutrino masses for μ--e+ conversion and K decay, K-→π+μ-μ-, respectively. We also present the bounds for CP phases in terms of mi, mixing angles and <mν>ab.


2001 ◽  
Vol 16 (09) ◽  
pp. 603-613 ◽  
Author(s):  
YONG LIU ◽  
UTPAL SARKAR

The CP violation required in leptogenesis may have different origin, but in an effective theory they are all related to the rephasing invariant CP violating measures in the mixing matrix of the leptonic sector. We point out that with our present knowledge of the mixing angles it is possible to estimate the maximum allowed value for all the rephasing invariant measures of CP violation in the leptonic sector. In the effective three-generation scenario there are three CP violating rephasing invariant measures. We show that only one rephasing invariant measure enters the lepton number conserving processes while the other two enter the lepton number violating processes. In the bimaximal mixing case, the lepton number conserving measure of CP violation vanishes while the two lepton number violating rephasing invariant measures of CP violation remain nonzero, which could contribute to the lepton asymmetry of the universe.


2013 ◽  
Vol 22 (12) ◽  
pp. 1330030 ◽  
Author(s):  
GAETANO LAMBIASE ◽  
SUBHENDRA MOHANTY ◽  
ARAGAM R. PRASANNA

In this paper, we review the theories of origin of matter–antimatter asymmetry in the universe. The general conditions for achieving baryogenesis and leptogenesis in a CPT conserving field theory have been laid down by Sakharov. In this review, we discuss scenarios where a background scalar or gravitational field spontaneously breaks the CPT symmetry and splits the energy levels between particles and antiparticles. Baryon or Lepton number violating processes in proceeding at thermal equilibrium in such backgrounds gives rise to Baryon or Lepton number asymmetry.


1994 ◽  
Vol 49 (4) ◽  
pp. 2118-2121 ◽  
Author(s):  
Patrick J. O'Donnell ◽  
Utpal Sarkar

2014 ◽  
Vol 89 (9) ◽  
Author(s):  
Gorazd Cvetič ◽  
C. S. Kim ◽  
Jilberto Zamora-Saá

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Rome Samanta ◽  
Satyabrata Datta

Abstract Within the Type-I seesaw mechanism, quantum effects of the right-handed (RH) neutrinos in the gravitational background lead to an asymmetric propagation of lepton and anti-leptons which induces a Ricci scalar and neutrino Dirac-Yukawa coupling dependent chemical potential and therefore a lepton asymmetry in equilibrium. At high temperature, lepton number violating scattering processes try to maintain a dynamically generated lepton asymmetry in equilibrium. However, when the temperature drops down, the interactions become weaker, and the asymmetry freezes out. The frozen out asymmetry can act as a pre-existing asymmetry prior to the standard Fukugita-Yanagida leptogenesis phase (Ti ∼ Mi, where Mi is the mass of ith RH neutrino). It is then natural to consider the viability of gravitational leptogenesis for a given RH mass spectrum which is not consistent with successful leptogenesis from decays. Primary threat to this gravity-induced lepton asymmetry to be able to successfully reproduce the observed baryon-to-photon ratio is the lepton number violating washout processes at Ti ∼ Mi. In a minimal seesaw set up with two RH neutrinos, these washout processes are strong enough to erase a pre-existing asymmetry of significant magnitude. We show that when effects of flavour on the washout processes are taken into account, the mechanism opens up the possibility of successful leptogenesis (gravitational) for a mass spectrum M2 » 109GeV » M1 with M1 ≳ 6.3 × 106 GeV. We then briefly discuss how, in general, the mechanism leaves its imprints on the low energy CP phases and absolute light neutrino mass scale.


2013 ◽  
Vol 60 ◽  
pp. 17002 ◽  
Author(s):  
Francisco del Aguila ◽  
Mikael Chala ◽  
Arcadi Santamaria ◽  
Jose Wudka

2013 ◽  
Vol 719 (4-5) ◽  
pp. 373-377 ◽  
Author(s):  
Shinya Kanemura ◽  
Yoshitaka Kuno ◽  
Toshihiko Ota

2008 ◽  
Author(s):  
Steve C. H. Kom ◽  
Pyungwon Ko ◽  
Deog Ki Hong

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