2011
DOI: 10.1103/physrevd.84.073002
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Geometrical model for non-zeroθ13

Abstract: Based on Friedberg and Lee's geometric picture by which the tribimaximal Pontecorvo-MakiNakawaga-Sakata leptonic mixing matrix is constructed, namely, corresponding mixing angles correspond to the geometric angles among the sides of a cube. We suggest that the three realistic mixing angles, which slightly deviate from the values determined for the cube, are due to a viable deformation from the perfectly cubic shape. Taking the best-fitted results of θ 12 and θ 23 as inputs, we determine the central value of si… Show more

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Cited by 20 publications
(33 citation statements)
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“…Achieving an inverse design of 3D curved graphene with a targeted shape is a very challenging task, as we need to search for the number, type and location of corresponding topological defects. The first challenge comes from highly nonlinear interactions between the topological defects and 3D shapes of graphene in the forward analysis for a given defect distribution [13,98]. The second challenge is due to the multiple time scales involved in directly optimizing the carbon atom positions, which is generally at the level of seconds, which far exceeds the current capability of molecular dynamics (nanoseconds) [99,100].…”
Section: Topological Design For 3d Shapes Of Graphenementioning
confidence: 99%
See 1 more Smart Citation
“…Achieving an inverse design of 3D curved graphene with a targeted shape is a very challenging task, as we need to search for the number, type and location of corresponding topological defects. The first challenge comes from highly nonlinear interactions between the topological defects and 3D shapes of graphene in the forward analysis for a given defect distribution [13,98]. The second challenge is due to the multiple time scales involved in directly optimizing the carbon atom positions, which is generally at the level of seconds, which far exceeds the current capability of molecular dynamics (nanoseconds) [99,100].…”
Section: Topological Design For 3d Shapes Of Graphenementioning
confidence: 99%
“…Zubov [108][109][110] conducted a series of studies on thin shells and plates with topological defects and showed that the problem of a thin shell with defects can be linked to its dual problem of a thin shell with external loading [110]. Chen and Chrzan [98] formulated a continuum theory for dislocations in graphene by modeling dislocations as topological constraints and minimizing the total strain energy in the Fourier space, which was shown to accurately capture the self- [13] successfully captured the global wrinkling profiles and atomic scale wrinkles near disclination/dislocation cores, with much higher efficiency compared to full atom MD simulations [13].…”
Section: Topological Design For 3d Shapes Of Graphenementioning
confidence: 99%
“…A slightly less rigorous approach, which may be acceptable for narrow resonances, is to ignore the hadronic decay of the states by excluding meson-meson-like operators from the basis used to determine the spectrum of statesa first round of calculations of this simplified type may be justified to aid our phenomenological intuition of the vector spectrum, extending the limited calculations presented in [28,[34][35][36][37][38], using the excited state technology presented in [29].…”
Section: Compute Decay Constants For Exotic Statesmentioning
confidence: 99%
“…[37], the power-suppressed three-parton contribution to the pion electromagnetic form factor in the k T factorization theorem can only provide ∼ 5% correction to the LO form factor in the whole range of experimentally accessible momentum transfer squared. This sub-leading piece amount only up to few percents of the B → π transition form factor at large recoil of the pion in k T factorization theorem.…”
Section: Kinetics and Input Wave Functionsmentioning
confidence: 99%
“…Due to it's clear advantages, such as no end-point singularity and can provide a large strong phase to generate the sizable CP violation for B meson decays, the PQCD factorization approach based on the k T factorization theorem has been widely used to study the two-body hadronic decays of B/B s /B C mesons for example in Refs. [35][36][37][38][39][40][41][42][43][44]. Recently, the next-to-leading-order (NLO) corrections to some important hadron form factors have been calculated [15,[45][46][47].…”
Section: Introductionmentioning
confidence: 99%