baryogenesis约束与参数界限在f(T,T_G)修正引力中
Baryogenesis constraints and parameter bounds in $f(T,T_{G})$ modified gravity
AI总结：
研究通过f(T,T_G)修正引力模型探讨质子不对称性生成，推导参数界限并验证模型在不引入额外场的情况下能解释观测结果。
摘要：
我们研究了在f(T,T_G)引力框架内宇宙观测质子不对称性的生成，其中T是扭量标量，T_G表示其Teleparallel高斯-博内特对应项。两个示例模型，f(T,T_G)=αT+β√(T_G)和f(T,T_G)=-T+δ T_G ln(T_G)，在幂律背景a(t)=a0 t^m中进行研究。对于这两种模型，我们推导了使用标准和广义质子-熵比η_B/s的解析表达式，采用高能解耦条件，g_b=1，g_s=106，T_D=2×10^16 GeV，M_*=2×10^12 GeV。宇宙动力学的一致性要求m>1，对于参数α、β、δ和m的受限区间，获得观测值η_B/s≈9.42×10^-11。数值结果证实，这两种模型在不引入额外场或奇异物质源的情况下重现测量的质子不对称性。这些发现表明，带有高斯-博内特扭量项的Teleparallel引力提供了一种自然且可行的质子不对称性生成机制，为早期宇宙的曲率基描述提供了一个有说服力的替代方案。
英文摘要：
We investigate the generation of the observed baryon asymmetry of the Universe within the framework of $f(T,T_{G})$ gravity, where $T$ is the torsion scalar and $T_{G}$ denotes its teleparallel Gauss--Bonnet counterpart. Two illustrative models, $f(T,T_{G})=αT+β\sqrt{T_{G}}$ and $f(T,T_{G})=-T+δ\, T_{G}\ln(T_{G})$, are examined in a power-law background $a(t)=a_{0} t^{m}$. For both models, we derive analytic expressions for the baryon-to-entropy ratio $η_{B}/s$ using the standard and generalized baryogenesis formalisms, adopting high-energy decoupling conditions with $g_{b}=1$, $g_{s}=106$, $T_{D}=2\times10^{16}\,\mathrm{GeV}$, and $M_{\star}=2\times10^{12}\,\mathrm{GeV}$. Consistency of the cosmological dynamics requires $m>1$, and the observed value $η_{B}/s \simeq 9.42\times10^{-11}$ is obtained for constrained intervals of the parameters $α$, $β$, $δ$, and $m$. Numerical results confirm that both models reproduce the measured baryon asymmetry without invoking extra fields or exotic matter sources. These findings indicate that teleparallel gravity with a Gauss--Bonnet torsion term provides a natural and viable mechanism for baryogenesis, offering a compelling alternative to curvature-based descriptions of the early Universe.
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