Weak radiative decays and CP violation in a Gauge model

1978 ◽  
Vol 47 (2) ◽  
pp. 251-277 ◽  
Author(s):  
M. A. Ahmed
1978 ◽  
Vol 76 (5) ◽  
pp. 602-604 ◽  
Author(s):  
T. Hagiwara ◽  
T. Kitazoe ◽  
G.B. Mainland ◽  
K. Tanaka
Keyword(s):  

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Zhi-zhong Xing ◽  
Di Zhang

AbstractWe calculate the rates of radiative $$\beta ^- \rightarrow \alpha ^- + \gamma $$ β - → α - + γ decays for $$(\alpha , \beta ) = (e, \mu )$$ ( α , β ) = ( e , μ ) , $$(e, \tau )$$ ( e , τ ) and $$(\mu , \tau )$$ ( μ , τ ) by taking the unitary gauge in the $$(3+n)$$ ( 3 + n ) active-sterile neutrino mixing scheme, and make it clear that constraints on the unitarity of the $$3\times 3$$ 3 × 3 Pontecorvo–Maki–Nakagawa–Sakata (PMNS) matrix U extracted from $$\beta ^- \rightarrow \alpha ^- + \gamma $$ β - → α - + γ decays in the minimal unitarity violation scheme differ from those obtained in the canonical seesaw mechanism with n heavy Majorana neutrinos by a factor 5/3. In such a natural seesaw case we show that the rates of $$\beta ^- \rightarrow \alpha ^- + \gamma $$ β - → α - + γ can be used to cleanly and strongly constrain the effective apex of a unitarity polygon, and compare its geometry with the geometry of its three sub-triangles formed by two vectors $$U^{}_{\alpha i} U^*_{\beta i}$$ U α i U β i ∗ and $$U^{}_{\alpha j} U^*_{\beta j}$$ U α j U β j ∗ (for $$i \ne j$$ i ≠ j ) in the complex plane. We find that the areas of such sub-triangles can be described in terms of the Jarlskog-like invariants of CP violation $${{\mathcal {J}}}^{ij}_{\alpha \beta }$$ J α β ij , and their small differences signify slight unitarity violation of the PMNS matrix U.


1991 ◽  
Vol 06 (26) ◽  
pp. 4753-4762
Author(s):  
KRISHNANATH BANDYOPADHYAY ◽  
DEBASIS BHOWMICK ◽  
MURARI MOHAN KUNDU ◽  
ASIM K. RAY

We have studied the quark-mass matrices, Cabibbo mixing and CP violation in the two-generation SU(2)L × SU(2)R × U(I)B−L × U(1)H model. It is shown that the model leads to phenomenologically consistent quark-mass matrices but cannot accommodate CP violation in spite of the right-handed and horizontal gauge interactions. The absence of Cabibbo mixing for leptons is explained, but for the quark sector it is shown to be ≃0.21.


1977 ◽  
Author(s):  
T. Hagiwara ◽  
T. Kitazoe ◽  
G.B. Mainland ◽  
K. Tanaka
Keyword(s):  

1979 ◽  
Vol 24 (12) ◽  
pp. 443-448 ◽  
Author(s):  
M. D’Anna ◽  
A. Masiero

Author(s):  
I. I. Bigi ◽  
A. I. Sanda
Keyword(s):  

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