In space-based gravitational wave detection, the estimation of far-field wavefront error of the distorted beam is the precondition for the noise reduction. Zernike polynomials are used to describe the wavefront error ...In space-based gravitational wave detection, the estimation of far-field wavefront error of the distorted beam is the precondition for the noise reduction. Zernike polynomials are used to describe the wavefront error of the transmitted distorted beam. The propagation of a laser beam between two telescope apertures is calculated numerically. Far-field wavefront error is estimated with the absolute height of the peak-to-valley phase deviation between the distorted Gaussian beam and a reference distortion-free Gaussian beam. The results show that the pointing jitter is strongly related to the wavefront error. Furthermore, when the jitter decreases 10 times from 100 nrad to 10 nrad, the wavefront error reduces for more than an order of magnitude. In the analysis of multi-parameter minimization, the minimum of wavefront error tends to Z[5,3] Zernike in some parameter ranges. Some Zernikes have a strong correlation with the wavefront error of the received beam. When the aperture diameter increases at Z[5,3] Zernike, the wavefront error is not monotonic and has oscillation.Nevertheless, the wavefront error almost remains constant with the arm length increasing from 10-1Mkm to 10~3Mkm.When the arm length decreases for three orders of magnitude from 10-1Mkm to 10-4Mkm, the wavefront error has only an order of magnitude increasing. In the range of 10-4Mkm to 10~3Mkm, the lowest limit of the wavefront error is from 0.5 fm to 0.015 fm at Z[5,3] Zernike and 10 nrad jitter.展开更多
When new CP-violating interactions are dominated by flavor changing neutral particle exchanges,which may occur in many extensions of the standard model,we examine a type-3 two-Higgs-doublet model and find that direct ...When new CP-violating interactions are dominated by flavor changing neutral particle exchanges,which may occur in many extensions of the standard model,we examine a type-3 two-Higgs-doublet model and find that direct CP asymmetries can be as large as about 25%.Time-dependent and time-integrated mixing-induced CP asymmetries up to 85 and 40%,respectively,are possible without conflict with other constraints.It mainly requirs an enhanced chromo-magnetic dipole b→sg decay to be close to the present experimental bound.展开更多
Gravitational contributions to the running of gauge couplings are calculated by using different regularizationschemes.As the β function concerns counter-terms of dimension four, only quadratic divergences from the gr...Gravitational contributions to the running of gauge couplings are calculated by using different regularizationschemes.As the β function concerns counter-terms of dimension four, only quadratic divergences from the gravitationalcontributions need to be investigated.A consistent result is obtained by using a symmetry-preserving loop regularizationwith string-mode regulators which can appropriately treat the quadratic divergences and preserve non-abelian gaugesymmetry.The harmonic gauge condition for gravity is used in both diagrammatical and background field calculations,the resulting gravitational corrections to the β function are found to be nonzero, which is different from previous resultspresented in the existing literatures.展开更多
CP violation in the standard model with four generations of quarks in examined using rephasing invariants of the mixing matrix.A condition for CP invariance is presented and proved.CP violations in different sections ...CP violation in the standard model with four generations of quarks in examined using rephasing invariants of the mixing matrix.A condition for CP invariance is presented and proved.CP violations in different sections are connected by orthogonal conditions.展开更多
基金supported in part by the National Key Research and Development Program of China (Grant No. 2020YFC2201501)the National Natural Science Foundation of China (Grant No. 12147103, special fund to the center for quanta-to-cosmos theoretical physics) (Grant No. 11821505)+1 种基金the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB23030100)the Chinese Academy of Sciences (CAS)。
文摘In space-based gravitational wave detection, the estimation of far-field wavefront error of the distorted beam is the precondition for the noise reduction. Zernike polynomials are used to describe the wavefront error of the transmitted distorted beam. The propagation of a laser beam between two telescope apertures is calculated numerically. Far-field wavefront error is estimated with the absolute height of the peak-to-valley phase deviation between the distorted Gaussian beam and a reference distortion-free Gaussian beam. The results show that the pointing jitter is strongly related to the wavefront error. Furthermore, when the jitter decreases 10 times from 100 nrad to 10 nrad, the wavefront error reduces for more than an order of magnitude. In the analysis of multi-parameter minimization, the minimum of wavefront error tends to Z[5,3] Zernike in some parameter ranges. Some Zernikes have a strong correlation with the wavefront error of the received beam. When the aperture diameter increases at Z[5,3] Zernike, the wavefront error is not monotonic and has oscillation.Nevertheless, the wavefront error almost remains constant with the arm length increasing from 10-1Mkm to 10~3Mkm.When the arm length decreases for three orders of magnitude from 10-1Mkm to 10-4Mkm, the wavefront error has only an order of magnitude increasing. In the range of 10-4Mkm to 10~3Mkm, the lowest limit of the wavefront error is from 0.5 fm to 0.015 fm at Z[5,3] Zernike and 10 nrad jitter.
基金Supported in part by the National Natural Science Foundation of China under Grant No.19625514.
文摘When new CP-violating interactions are dominated by flavor changing neutral particle exchanges,which may occur in many extensions of the standard model,we examine a type-3 two-Higgs-doublet model and find that direct CP asymmetries can be as large as about 25%.Time-dependent and time-integrated mixing-induced CP asymmetries up to 85 and 40%,respectively,are possible without conflict with other constraints.It mainly requirs an enhanced chromo-magnetic dipole b→sg decay to be close to the present experimental bound.
基金Supported by the National Natural Science Foundation of China under Grant Nos.10425521,10675007,10935001the Major State Basic Research Development Program under Grant No.G2007CB815000the Financial Support from China Postdoctoral Science Foundation No.20090460534
基金Supported by the National Natural Science Foundation of China under Grant Nos.10821504,10491306,10975170 the Project of Knowledge Innovation Program of Chinese Academy of Science
文摘Gravitational contributions to the running of gauge couplings are calculated by using different regularizationschemes.As the β function concerns counter-terms of dimension four, only quadratic divergences from the gravitationalcontributions need to be investigated.A consistent result is obtained by using a symmetry-preserving loop regularizationwith string-mode regulators which can appropriately treat the quadratic divergences and preserve non-abelian gaugesymmetry.The harmonic gauge condition for gravity is used in both diagrammatical and background field calculations,the resulting gravitational corrections to the β function are found to be nonzero, which is different from previous resultspresented in the existing literatures.
文摘CP violation in the standard model with four generations of quarks in examined using rephasing invariants of the mixing matrix.A condition for CP invariance is presented and proved.CP violations in different sections are connected by orthogonal conditions.