Abstract
The searching for the electric dipole moments (EDMs) of neutron (dn), b quark (db) and c quark (dc) gives strict upper bounds on these quantities. And recently, new up- per bounds on db, dc are obtained by the strict limit on dn. The models of new physics (NP) with additional CP-violating (CPV) sources are constrained strictly by these EDMs. In this work, we focus on the CPV effects on these EDMs in the minimal supersymmetric extension (MSSM) of the SM with local B − L gauge symmetry (B-LSSM). The contributions from one-loop and some two-loop diagrams to the quark EDM are given in general form, which can also be used in the calculation of quark EDM in other models of NP. Considering the constrains from updated experimental data, the numerical results show that the two-loop corrections can make important contributions to these EDMs. Compared with the MSSM, the effects of new CPV phases and new parameters in the B-LSSM on these EDMs are also explored.
Highlights
JHEP04(2020)013 where dγq, dgq, C5 denote the quark electric dipole moments (EDMs) of q from the electroweak interaction, the CEDM of q and the coefficient of Weinberg operator at the chirality scale respectively
We focus on the CPV effects on these EDMs in the minimal supersymmetric extension (MSSM) of the SM with local B − L gauge symmetry (B-LSSM)
We explore the EDMs of neutron dn and heavy quarks db, dc in the B-LSSM
Summary
Besides the superfields of the MSSM, two chiral singlet superfields η1 ∼ (1, 1, 0, −1), η2 ∼ (1, 1, 0, 1) and three generations of right-handed neutrinos are introduced in the B-LSSM. It can be noted that there are two Abelian groups in the B-LSSM, which gives rise to a new effect absent in the MSSM or other SUSY models with just one Abelian gauge group: the gauge kinetic mixing. Additional D-terms contribute to the mass matrices of the squarks and sleptons which affects the theoretical predictions of various observations of the model. Squarks play an important role in the theoretical predictions of EDMs. Comparing with the MSSM, it can be noted in eq (A.2), eq (A.4) that new gauge coupling constants gB , gY B and VEVs u1, u2 can affect the mass matrixes of both up and down type squarks. New neutralinos which can make contributions to EDMs are introduced in the B-LSSM, and the corresponding mass matrix is collected in appendix A
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