Feng, CJ (reprint author), Shanghai Normal Univ, Shanghai United Ctr Astrophys, 100 Guilin Rd, Shanghai 200234, Peoples R China.
; Li, Xin-Zhou] Shanghai Normal Univ, Shanghai United Ctr Astrophys, Shanghai 200234, Peoples R China
; [Feng, Chao-Jun] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
The measurement of the tensor-to-scalar ratio r shows a very powerful constraint to theoretical inflation models through the detection of B-mode. In this paper, we propose a single inflation model with infinity power series potential called the Infinity Power Series (IPS) inflation model, which is well consistent with latest observations from Planck and BICEP2. Furthermore, it is found that in the IPS model, the absolute value running of the spectral index increases while the tensor-to-scalar ratio becomes large, namely both large r approximate to 0.20 and vertical bar n(s)'vertical bar greater than or similar to O(10(-2)) are realized in the IPS model. In the meanwhile, the number of e-folds is also big enough N approximate to 50-60 to solve the problems in Big Bang cosmology.