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Register a new userThe two-loop corrections to lepton MDMs and EDMs in the EBLMSSM
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Extending BLMSSM with exotic Higgs superfields $(Phi_{NL},varphi_{NL})$ and superfields ($Y,Y^prime$), one obtains the new model called as EBLMSSM, where exotic leptons are heavy and have tree level couplings with SM lepton. In this model, some new parameters with CP-violating phases are considered, so there are new contributions to lepton anomalous magnetic dipole moments (MDMs) and electric dipole moments (EDMs). Therefore, we study the one-loop, two-loop Barr-Zee and two-loop Rainbow type corrections to lepton MDMs and EDMs in the EBLMSSM. Considering the constraints from the lightest CP-even Higgs mass and decays, we calculate the corresponding numerical results. In our used parameter space, the new physics contributions to lepton MDMs are large, which can remedy the deviation between the SM prediction and experimental result well. New introduced CP-violating phases also affect the lepton EDMs in a certain degree.
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The experimental data of the magnetic dipole moment(MDM) of lepton($e$, $mu$) is very exact. The deviation between the experimental data and the standard model prediction maybe come from new physics contribution. In the supersymmetric models, there are very many two loop diagrams contributing to the lepton MDM. In supersymmetric models, we suppose two mass scales $M_{SH}$ and $M$ with $M_{SH}gg M$ for supersymmetric particles. Squarks belong to $M_{SH}$ and the other supersymmetric particles belong to $M$. We analyze the order of the contributions from the two loop diagrams. The two loop triangle diagrams corresponding to the two loop self-energy diagram satisfy Ward-identity, and their contributions possess particular factors. This work can help to distinguish the important two loop diagrams giving corrections to lepton MDM.
We have calculated the two-loop strong interaction corrections to the chargino pole masses in the DRbar-scheme in the Minimal Supersymmetric Standard Model (MSSM) with complex parameters. We have performed a detailed numerical analysis for a particular point in the parameter space and found corrections of a few tenths of a percent. We provide a computer program which calculates chargino and neutralino masses with complex parameters including the one-loop corrections and all two-loop SQCD effects.
We have calculated the two-loop strong interaction corrections to the neutralino pole masses in the DRbar-scheme in the Minimal Supersymmetric Standard Model (MSSM). We have performed a detailed numerical analysis for a particular point in the parameter space and found corrections of a few tenths of a percent. We agree with previously derived analytic formulae for two-loop corrections to fermion masses.
Higgs inflation and $R^2$-inflation (Starobinsky model) are two limits of the same quantum model, hereafter called Starobinsky-Higgs. We analyse the two-loop action of the Higgs-like scalar $phi$ in the presence of: 1) non-minimal coupling ($xi$) and 2) quadratic curvature terms. The latter are generated at the quantum level with $phi$-dependent couplings ($tildealpha$) even if their tree-level couplings ($alpha$) are tuned to zero. Therefore, the potential always depends on both Higgs field $phi$ and scalaron $rho$, hence multi-field inflation is a quantum consequence. The effects of the quantum (one- and two-loop) corrections on the potential $hat W(phi,rho)$ and on the spectral index are discussed, showing that the Starobinsky-Higgs model is in general stable in their presence. Two special cases are also considered: first, for a large $xi$ in the quantum action one can integrate $phi$ and generate a refined Starobinsky model which contains additional terms $xi^2 R^2ln^p (xi vert Rvert/mu^2)$, $p=1,2$ ($mu$ is the subtraction scale). These generate corrections linear in the scalaron to the usual Starobinsky potential and a running scalaron mass. Second, for a small fixed Higgs field $phi^2 ll M_p^2/xi$ and a vanishing classical coefficient of the $R^2$-term, we show that the usual Starobinsky inflation is generated by the quantum corrections alone, for a suitable non-minimal coupling ($xi$).
In this paper we present the complete two-loop vertex corrections to scalar and pseudo-scalar Higgs boson production for general colour factors for the gauge group ${rm SU(N)}$ in the limit where the top quark mass gets infinite. We derive a general formula for the vertex correction which holds for conserved and non conserved operators. For the conserved operator we take the electromagnetic vertex correction as an example whereas for the non conserved operators we take the two vertex corrections above. Our observations for the structure of the pole terms $1/epsilon^4$, $1/epsilon^3$ and $1/epsilon^2$ in two loop order are the same as made earlier in the literature for electromagnetism. However we also elucidate the origin of the second order single pole term which is equal to the second order singular part of the anomalous dimension plus a universal function which is the same for the quark and the gluon. [3mm]
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