arXiv:2512.06009v1 Announce Type: new
Abstract: 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, $f(T,T_{G})=alpha T+beta sqrt{T_{G}}$ and $f(T,T_{G})=-T+delta, T_{G}ln(T_{G})$, 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 $eta_{B}/s$ using the standard and generalized baryogenesis formalisms, adopting high-energy decoupling conditions with $g_{b}=1$, $g_{s}=106$, $T_{D}=2times10^{16},mathrm{GeV}$, and $M_{star}=2times10^{12},mathrm{GeV}$. Consistency of the cosmological dynamics requires $m>1$, and the observed value $eta_{B}/s simeq 9.42times10^{-11}$ is obtained for constrained intervals of the parameters $alpha$, $beta$, $delta$, 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.