scholarly journals A Note on Koide’s Doubly Special Parametrization of Quark Masses

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 427-429
Author(s):  
Piotr Żenczykowski

Abstract Three charged lepton masses may be expressed in terms of a Z3-symmetric parametrization relevant for the discussion of Koide’s formula. After disregarding the overall scale parameter, the observed pattern of lepton masses can be described extremely well if the remaining two parameters acquire the unexpectedly simple values of 1 and 2/9. We argue that an analogue of this doubly special feature of the parametrization can also be seen in the quark sector provided that the mass of the strange quark is taken to be around 160 MeV, as might be expected in the low-energy regime.

2009 ◽  
Vol 24 (31) ◽  
pp. 5831-5844 ◽  
Author(s):  
TAKESHI ARAKI ◽  
JISUKE KUBO

The Cabibbo–Kobayashi–Maskawa (CKM) parameters are investigated in detail in recent predictive models which are based on low-energy non-Abelian discrete family symmetries. Some of the models can already be excluded at the present precision of the determination of the CKM parameters, while some of them seem to survive. We find that to make the uncertainties of the theoretical values comparable with the assumed uncertainties of ~1° and ~2° in ϕ2(α) and ϕ3(γ), respectively, at about 50 inverse atto barn achieved at a future B factory, it is necessary to reduce the uncertainties in the quark masses, especially that of the strange quark mass by more than 60%.


2014 ◽  
Vol 29 (18) ◽  
pp. 1430032 ◽  
Author(s):  
S. Heinemeyer ◽  
M. Mondragón ◽  
G. Zoupanos

Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories (GUTs) which can be made finite to all-loop orders, based on the principle of reduction of couplings, and therefore are provided with a large predictive power. We confront the predictions of an SU(5) FUT with the top and bottom quark masses and other low-energy experimental constraints, resulting in a relatively heavy SUSY spectrum, naturally consistent with the nonobservation of those particles at the LHC. The light Higgs boson mass is automatically predicted in the range compatible with the Higgs discovery at the LHC. Requiring a light Higgs boson mass in the precise range of Mh= 125.6 ±2.1 GeV favors the lower part of the allowed spectrum, resulting in clear predictions for the discovery potential at current and future pp, as well as future e+e-colliders.


2020 ◽  
Vol 80 (8) ◽  
Author(s):  
V. V. Vien ◽  
H. N. Long ◽  
A. E. Cárcamo Hernández

Abstract We propose a renormalizable $$B-L$$B-L Standard Model (SM) extension based on $$S_3$$S3 symmetry which successfully accommodates the observed fermion mass spectra and flavor mixing patterns as well as the CP violating phases. The small masses for the light active neutrinos are generated through a type I seesaw mechanism. The obtained physical parameters in the lepton sector are well consistent with the global fit of neutrino oscillations (Esteban et al. in J High Energy Phys 01:106, 2019) for both normal and inverted neutrino mass orderings. The model also predicts effective neutrino mass parameters of $${\langle m_{ee}\rangle }= {1.02\times 10^{-2}}\,{\mathrm {eV}},\, m_{\beta }= {1.25}\times 10^{-2}\,{\mathrm {eV}}$$⟨mee⟩=1.02×10-2eV,mβ=1.25×10-2eV for normal hierarchy (NH) and $${\langle m_{ee}\rangle } ={5.03}\times 10^{-2}\, {\mathrm {eV}},\, m_{\beta } ={5.05}\times 10^{-2}\, {\mathrm {eV}}$$⟨mee⟩=5.03×10-2eV,mβ=5.05×10-2eV for inverted hierarchy (IH) which are all well consistent with the future large and ultra-low background liquid scintillator detectors which has been discussed in Ref. (Zhao et al. in Chin Phys C 41(5):053001, 2017) or the limit of the effective neutrino mass can be reached by the planning of future experiments. The model results are consistent with and successfully accommodate the recent experimental values of the physical observables of the quark sector, including the six quark masses, the quark mixing angles and the CP violating phase in the quark sector.


1985 ◽  
Vol 90 (4) ◽  
pp. 378-387
Author(s):  
P. Loverre ◽  
G. Penso ◽  
C. Verzegnassi
Keyword(s):  

2010 ◽  
Vol 25 (29) ◽  
pp. 5223-5234 ◽  
Author(s):  
C. A. DOMINGUEZ

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function is the pseudoscalar correlator which involves the quark masses as an overall multiplicative factor. For the past thirty years this method has been affected by systematic uncertainties originating in the hadronic resonance sector, thus limiting the accuracy of the results. Recently, a major breakthrough has been made allowing for a considerable reduction of these systematic uncertainties and leading to light quark masses accurate to better than 8%. This procedure will be described in this talk for the up-, down-, strange-quark masses, after a general introduction to the method of QCD sum rules.


2013 ◽  
Vol 28 (26) ◽  
pp. 1360016 ◽  
Author(s):  
KARL SCHILCHER

Recent QCD sum rule determinations of the light quark masses are reviewed. In the case of the strange quark mass, possible uncertainties are discussed in the framework of finite energy sum rules.


2011 ◽  
Vol 199 (1-3) ◽  
pp. 71-83 ◽  
Author(s):  
D. A. Glazov ◽  
Y. S. Kozhedub ◽  
A. V. Maiorova ◽  
V. M. Shabaev ◽  
I. I. Tupitsyn ◽  
...  
Keyword(s):  

2007 ◽  
Vol 34 (8) ◽  
pp. S627-S630 ◽  
Author(s):  
Frithjof Karsch ◽  
the RBC-Bielefeld Collaboration

Sign in / Sign up

Export Citation Format

Share Document