Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

XING Zhi-Zhong; ZHOU Shun

Chinese Physics C> 2006, Vol. 30> Issue(9) : 828-832

Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

XING Zhi-Zhong ,
ZHOU Shun ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

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A simple extension of the standard model is to introduce n heavy right-handed Majorana neutrinos and preserve its SU(2)_L \times U(1)_Y gauge symmetry. Diagonalizing the (3+n)×(3+n) neutrino mass matrix, we obtain an exact analytical expression for the effective mass matrix of ν_e, ν_μand ν_τ. It turns out that the 3×3 neutrino mixing matrix V, which appears in the leptonic charged-current weak interactions, must not be exactly unitary. The unitarity violation of V is negligibly tiny, however, if the canonical seesaw mechanism works to reproduce the correct mass scale of light Majorana neutrinos. A similar conclusion can be drawn in the realistic Type-Ⅱ seesaw models.

References

[1]

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XING Zhi-Zhong and ZHOU Shun. Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?[J]. Chinese Physics C, 2006, 30(9): 828-832.

XING Zhi-Zhong and ZHOU Shun. Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?[J]. Chinese Physics C, 2006, 30(9): 828-832. shu

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Received: 2006-03-23
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

Corresponding author: ZHOU Shun,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2006-03-23

Accepted Date: 1900-01-01

Available Online: 2006-09-05

Abstract: A simple extension of the standard model is to introduce n heavy right-handed Majorana neutrinos and preserve its SU(2)_L \times U(1)_Y gauge symmetry. Diagonalizing the (3+n)×(3+n) neutrino mass matrix, we obtain an exact analytical expression for the effective mass matrix of ν_e, ν_μand ν_τ. It turns out that the 3×3 neutrino mixing matrix V, which appears in the leptonic charged-current weak interactions, must not be exactly unitary. The unitarity violation of V is negligibly tiny, however, if the canonical seesaw mechanism works to reproduce the correct mass scale of light Majorana neutrinos. A similar conclusion can be drawn in the realistic Type-Ⅱ seesaw models.

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Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?

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