Quark mixings as a test of a new symmetry of quark Yukawa couplings

H. González; W. S.R. Juárez; P. Kielanowski; G. López Castro

doi:10.1016/S0370-2693(98)01077-6

Quark mixings as a test of a new symmetry of quark Yukawa couplings

H. González, W. S.R. Juárez, P. Kielanowski, G. López Castro

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We assume that Yukawa couplings of up and down quarks are related by Y_u ∝ Y²_d at grand unification (GU) scale. Using the specific ansatz for Y_d we obtain the CKM matrix that is symmetrical at the GU scale and two relations between the quark masses. Using three specific models as illustrative examples for the evolution down to low energies, we obtain a non-symmetric CKM matrix whose entries are in good agreement with their measured values and two quark mass relations at the m_t scale: (m_u/m_c) = (m_d/m_s)² and (m_c/m_t) = k(m^s/m^b)² with the coefficient k fixed from the renormalization group (RG) evolution.

Original language	English
Pages (from-to)	94-100
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	440
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)01077-6
State	Published - 12 Nov 1998

Keywords

Flavor symmetry
Mass matrices
Mixing angles

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10.1016/S0370-2693(98)01077-6

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title = "Quark mixings as a test of a new symmetry of quark Yukawa couplings",

abstract = "We assume that Yukawa couplings of up and down quarks are related by Yu ∝ Y2d at grand unification (GU) scale. Using the specific ansatz for Yd we obtain the CKM matrix that is symmetrical at the GU scale and two relations between the quark masses. Using three specific models as illustrative examples for the evolution down to low energies, we obtain a non-symmetric CKM matrix whose entries are in good agreement with their measured values and two quark mass relations at the mt scale: (mu/mc) = (md/ms)2 and (mc/mt) = k(ms/mb)2 with the coefficient k fixed from the renormalization group (RG) evolution.",

keywords = "Flavor symmetry, Mass matrices, Mixing angles",

author = "H. Gonz{\'a}lez and Ju{\'a}rez, {W. S.R.} and P. Kielanowski and {L{\'o}pez Castro}, G.",

note = "Funding Information: We are grateful to A. Garc{\'ı}a, J.-M. G{\'e}rard. We are specially indebted to J. Pestieau for a careful reading of the manuscript. S.R.J.W. gratefully acknowledges partial support by Comisi{\'o}n de Operaci{\'o}n y Fomento de Actividades Acad{\'e}micas (Instituto Polit{\'e}cnico Nacional).",

year = "1998",

month = nov,

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doi = "10.1016/S0370-2693(98)01077-6",

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T1 - Quark mixings as a test of a new symmetry of quark Yukawa couplings

AU - González, H.

AU - Juárez, W. S.R.

AU - Kielanowski, P.

AU - López Castro, G.

N1 - Funding Information: We are grateful to A. Garcı́a, J.-M. Gérard. We are specially indebted to J. Pestieau for a careful reading of the manuscript. S.R.J.W. gratefully acknowledges partial support by Comisión de Operación y Fomento de Actividades Académicas (Instituto Politécnico Nacional).

PY - 1998/11/12

Y1 - 1998/11/12

N2 - We assume that Yukawa couplings of up and down quarks are related by Yu ∝ Y2d at grand unification (GU) scale. Using the specific ansatz for Yd we obtain the CKM matrix that is symmetrical at the GU scale and two relations between the quark masses. Using three specific models as illustrative examples for the evolution down to low energies, we obtain a non-symmetric CKM matrix whose entries are in good agreement with their measured values and two quark mass relations at the mt scale: (mu/mc) = (md/ms)2 and (mc/mt) = k(ms/mb)2 with the coefficient k fixed from the renormalization group (RG) evolution.

AB - We assume that Yukawa couplings of up and down quarks are related by Yu ∝ Y2d at grand unification (GU) scale. Using the specific ansatz for Yd we obtain the CKM matrix that is symmetrical at the GU scale and two relations between the quark masses. Using three specific models as illustrative examples for the evolution down to low energies, we obtain a non-symmetric CKM matrix whose entries are in good agreement with their measured values and two quark mass relations at the mt scale: (mu/mc) = (md/ms)2 and (mc/mt) = k(ms/mb)2 with the coefficient k fixed from the renormalization group (RG) evolution.

KW - Flavor symmetry

KW - Mass matrices

KW - Mixing angles

UR - http://www.scopus.com/inward/record.url?scp=0346309126&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(98)01077-6

DO - 10.1016/S0370-2693(98)01077-6

M3 - Artículo

SN - 0370-2693

VL - 440

SP - 94

EP - 100

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

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

IS - 1-2

ER -

Quark mixings as a test of a new symmetry of quark Yukawa couplings

Abstract

Keywords

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