Quark mixing sum rules and the right unitarity triangle

• In analogy with the recently proposed lepton mixing sum rules, we derive quark mixing sum rules for the case of hierarchical quark mass matrices with 1-3 texture zeros, in which the separate up and down-type 1-3 mixing angles are approximately zero, and V-ub is generated from V-cb as a result of 1-2 up-type quark mixing. Using the sum rules, we discuss the phenomenological viability of such textures, including up to four texture zeros, and show how the right-angled unitarity triangle, i.e., alpha approximate to 90 degrees, can be accounted for by a remarkably simple scheme involving real mass matrices apart from a single element being purely imaginary. In the framework of grand unified theories, we show how the quark and lepton mixing sum rules may combine to yield an accurate prediction for the reactor angle.

Ämnesord

NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

Nyckelord

SU(3) FAMILY SYMMETRY

U(2) FLAVOR SYMMETRY

SEE-SAW MODELS

FERMION MASSES

YUKAWA TEXTURES

PHENOMENOLOGICAL CONSEQUENCES

NEUTRINO MIXINGS

PRECISION TEST

CP VIOLATION

ANGLES

Physics

Fysik

Publikations- och innehållstyp

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