Solving the muon g-2 anomaly in CMSSM extension with non-universal gaugino masses

We propose to generate non-universal gaugino masses in SU(5) GUT with the generalized Planck-scale mediation SUSY breaking mechanism, in which the non-universality arises from proper wavefunction normalization with lowest component VEVs of various high dimensional representations of the Higgs fields of SU(5) and an unique F-term VEV by the singlet. Different predictions on gaugino mass ratios with respect to widely studied scenarios are given. The gluino-SUGRA-like scenario, where gluinos are much heavier than winos, bino and universal scalar masses, can be easily realized with appropriate combinations of such high-representation Higgs fields. With 6 GUT-scale parameters in our scenario, we can solve elegantly the tension between mSUGRA and the present experimental results, including the muon g-2, the dark matter (DM) relic density and the direct sparticle search bounds from the LHC. Taking into account the current constraints in our numerical scan, we have the following observations: (i) The large-$\tan\beta$ samples with a moderate $M_3$ a small $|A_0/M_3|$ and a small $m_A$ are favored to generate a 125 GeV SM-like Higgs and predict a large muon g-2, while the stop mass and \mu parameter, mainly determined by $|M_3|(\gg M_0,|M_1|,|M_2|)$, can be about 6 TeV; (ii) The moderate-$\tan\beta$(35~40) samples with a negative $M_3$ can have a light smuon but a heavy stau, which predict a large muon g-2 but a small $Br(B_s\to\mu^+\mu^-)$; (iii) To obtain the right DM relic density, the annihilation mechanisms should be stau exchange, stau coannihilation, chargino coannihilation, slepton annihilation and the combination of two or three of them; (iv) To obtain the right DM relic density, the spin-independent DM-nucleon cross section is typically much smaller than the present limits of XENON1T 2018 and also an order of magnitude lower than the future detection sensitivity of LZ and XENONnT.