2,124 research outputs found
Applications of degree estimate for subalgebras
Let be a field of positive characteristic and be the free
algebra of rank two over . Based on the degree estimate done by Y.-C. Li and
J.-T. Yu, we extend the results of S.J. Gong and J.T. Yu's results: (1) An
element is a test element if and only if does not
belong to any proper retract of ; (2) Every endomorphism preserving the
automorphic orbit of a nonconstant element of is an automorphism; (3)
If there exists some injective endomorphism of such that
where , then is a coordinate. And
we reprove that all the automorphisms of are tame. Moreover, we also
give counterexamples for two conjectures established by Leonid Makar-Limanov,
V. Drensky and J.-T. Yu in the positive characteristic case.Comment: 12 page
Higgs boson decays to meson in the fragmentation-function approach
In the paper, we present a calculation of the decay widths for the Higgs
boson decays to the , , and mesons
using the fragmentation-function approach. In the calculation, the
fragmentation functions up to order based on the nonrelativistic
QCD factorization theory are used, and the decay widths for and at the partonic level are calculated up to order . The large
logarithms of are resummed up to next-to-leading logarithmic
accuracy by solving the evolution equations for the running quark masses and
the fragmentation functions. Compared to the leading-order decay widths based
on the nonrelativistic QCD approach, the decay widths based on the
fragmentation-function approach that include the higher-order QCD corrections
are reduced significantly. Our numerical results show that there are about
events via the Higgs decays to be produced at the HL-LHC
with , and about events via the Higgs decays
to be produced at the HE-LHC with .Comment: 12 pages, 9 figure
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