Affleck-Dine leptogenesis after thermal inflation along the $LH_u$ direction requires $m_L^2+m_{H_u}^2 < 0$ up to the AD scale ($|L|\simeq |H_u|\sim 10^9$ GeV). We renormalised this condition from the AD scale to the soft supersymmetry breaking scale by solving the renormalisation group equations perturbatively in the Yukawa couplings to obtain a semi-analytic constraint on the soft supersymmetry breaking parameters. We also used a fully numerical method to renormalise the baryogenesis condition and constrained the Minimal Supersymmetric Cosmological Model using the resulting baryogenesis condition and other constraints, specifically, electroweak symmetry breaking, the observed Higgs mass, and the axino dark matter abundance.

中文翻译：

---

热膨胀后限制 Affleck-Dine 瘦素发生

沿 $LH_u$ 方向热膨胀后的 Affleck-Dine 瘦素生成需要 $m_L^2+m_{H_u}^2 < 0$ 直到 AD 尺度 ($|L|\simeq |H_u|\sim 10^9$ GeV ）。我们通过在 Yukawa 耦合中微扰求解重整化群方程，将这一条件从 AD 尺度重整化为软超对称破缺尺度，以获得对软超对称破缺参数的半解析约束。我们还使用全数值方法重新规范化重子生成条件，并使用由此产生的重子生成条件和其他约束条件约束最小超对称宇宙模型，特别是电弱对称性破缺、观察到的希格斯质量和轴突暗物质丰度。