The upper bound on the tensor-to-scalar ratio consistent with quantum gravity

Lina Wu,Qing Gao,Yungui Gong,Yiding Jia,Tianjun Li

Table 1. The low bound of inflaton excursion and the parameters for inflation potential. Here e-folding number, the scalar spectral index and the relative running are fixed to the central value, i.e. N = 55, ns = 0.9649, and αs = − 0.0045.

r λ1(10−2) λ2(10−3) λ3(10−3) λ4(10−2) λ5(10−2) Δφ(MPl) 0.01 −3.6188 −10.0437 −9.8543 32.1351 −35.5515 1.313 0.02 −5.1138 −9.03945 −6.64997 16.0928 −12.7293 1.673 0.03 −6.25887 −8.08913 −5.19385 10.7428 −7.0106 1.928 0.04 −7.22116 −7.06825 −4.32425 8.070 43 −4.61105 2.129 0.05 −8.05932 −6.08622 −3.73725 6.479 09 −3.34879 2.297 0.056 −8.51818 −5.47844 −3.4711 5.799 87 −2.85268 2.385 0.0012 −1.25467 −11.007 −29.7032 267.333 −844.752 0.632 0.0046 −2.45598 −10.6889 −1.49114 69.7688 −113.004 1.000 0.0335 −7.5746 −5.6969 −4.1581 7.1323 −3.8853 2.000