10,366 research outputs found
Renormalization Invariants and Quark Flavor Mixings
A set of renormalization invariants is constructed using approximate,
two-flavor, analytic solutions for RGEs. These invariants exhibit explicitly
the correlation between quark flavor mixings and mass ratios in the context of
the SM, DHM and MSSM of electroweak interaction. The well known empirical
relations , can
thus be understood as the result of renormalization evolution toward the
infrared point. The validity of this approximation is evaluated by comparing
the numerical solutions with the analytical approach. It is found that the
scale dependence of these quantities for general three flavoring mixing follows
closely these invariants up to the GUT scale.Comment: 23 pages, 7 figure
Evolution of the CKM Matrix in the Universal Extra Dimension Model
The evolution of the Cabibbo-Kobayashi-Maskawa matrix and the quark Yukawa
couplings is performed for the one-loop renormalization group equations in the
universal extra dimension model. It is found that the evolution of mixing
angles and the CP violation measure J may rapidly vary in the presence of the
Kaluza-Klein modes, and this variation becomes dramatic as the energy
approaches the unification scale.Comment: 10 pages, 4 figure
Gradient flow approach to an exponential thin film equation: global existence and latent singularity
In this work, we study a fourth order exponential equation, derived from thin film growth on crystal surface in multiple
space dimensions. We use the gradient flow method in metric space to
characterize the latent singularity in global strong solution, which is
intrinsic due to high degeneration. We define a suitable functional, which
reveals where the singularity happens, and then prove the variational
inequality solution under very weak assumptions for initial data. Moreover, the
existence of global strong solution is established with regular initial data.Comment: latent singularity, curve of maximal slope. arXiv admin note: text
overlap with arXiv:1711.07405 by other author
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