In the standard model QCD Lagrangian,a term of CP violating gluon density is theoretically expected to have a physical coefficientθ¯,which is typically on the order of unity.However,the upper bound on the electr...In the standard model QCD Lagrangian,a term of CP violating gluon density is theoretically expected to have a physical coefficientθ¯,which is typically on the order of unity.However,the upper bound on the electric dipole moment of the neutron enforces the value ofθ¯to be extremely small.The significant discrepancy between theoretical expectations and experimental results in this context is widely recognized as the strong CP problem.To solve this puzzle in an appealing context of two Higgs doublets,we propose aθ¯-characterized mirror symmetry between two Higgs singlets with respective discrete symmetries.In our scenario,the parameterθ¯can completely disappear from the full Lagrangian after the standard model fermions take a proper phase rotation as well as the Higgs doublets and singlets.Moreover,all of new physics for solving the strong CP problem can be allowed near the TeV scale.展开更多
Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character （i.e., irreducibleπ-partial character） of N . We obtain a necessary and sufficient condition for the n...Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character （i.e., irreducibleπ-partial character） of N . We obtain a necessary and sufficient condition for the number of Iπ-characters of G overθ to take the possible maximum ｜G：N｜π. Some applications are given.展开更多
In 1984, Isaacs proposed the theories of Bπ-character and Iπ-character in π-separated group. This paper gives some new extension conditions of Iπ characters.
基金Supported in part by the National Natural Science Foundation of China (12175038)and in part by the Fundamental Research Funds for the Central Universities。
文摘In the standard model QCD Lagrangian,a term of CP violating gluon density is theoretically expected to have a physical coefficientθ¯,which is typically on the order of unity.However,the upper bound on the electric dipole moment of the neutron enforces the value ofθ¯to be extremely small.The significant discrepancy between theoretical expectations and experimental results in this context is widely recognized as the strong CP problem.To solve this puzzle in an appealing context of two Higgs doublets,we propose aθ¯-characterized mirror symmetry between two Higgs singlets with respective discrete symmetries.In our scenario,the parameterθ¯can completely disappear from the full Lagrangian after the standard model fermions take a proper phase rotation as well as the Higgs doublets and singlets.Moreover,all of new physics for solving the strong CP problem can be allowed near the TeV scale.
基金Supported by the NSF of Shanxi Province(2013011001-3)
文摘Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character （i.e., irreducibleπ-partial character） of N . We obtain a necessary and sufficient condition for the number of Iπ-characters of G overθ to take the possible maximum ｜G：N｜π. Some applications are given.
基金Supported by the Education Hall Foundation of Zhejiang Province(20051313)
文摘In 1984, Isaacs proposed the theories of Bπ-character and Iπ-character in π-separated group. This paper gives some new extension conditions of Iπ characters.
