26,733 research outputs found
Charged lepton flavor violating Higgs decays at future colliders
After the discovery of the Higgs boson, several future experiments have been
proposed to study the Higgs boson properties, including two circular lepton
colliders, the CEPC and the FCC-ee, and one linear lepton collider, the ILC. We
evaluate the precision reach of these colliders in measuring the branching
ratios of the charged lepton flavor violating Higgs decays ,
and . The expected upper bounds on the
branching ratios given by the circular (linear) colliders are found to be
, and at 95\% CL, which are improved by
one to two orders compared to the current experimental bounds. We also discuss
the constraints that these upper bounds set on certain theory parameters,
including the charged lepton flavor violating Higgs couplings, the
corresponding parameters in the type-III 2HDM, and the new physics cut-off
scales in the SMEFT, in RS models and in models with heavy neutrinos.Comment: 20 pages, 2 figures (extend the CEPC study to the FCC-ee and the ILC,
and to match the published version
Discrete stochastic maximal -regularity and convergence of a spatial semidiscretization for a stochastic parabolic equation
We prove that the discrete Laplace operator has a bounded -calculus,independent of the spatial mesh size. As an application, we
obtain the discrete stochastic maximal -regularity estimate for a
spatial semidiscretization of a stochastic parabolic equation. In addition, we
derive some (nearly) sharp error estimates for this spatial semidiscretization
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation
This paper analyzes the discretization of a Neumann boundary control problem
with a stochastic parabolic equation, where an additive noise occurs in the
Neumann boundary condition. The convergence is established for general
filtrations, and the convergence rate is derived for the natural filtration of the Q-Wiener
process
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