https://doi.org/10.1140/epjc/s10052-017-4741-9
Regular Article - Theoretical Physics
No-scale 
-term hybrid inflation
1
School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China
2
Key Laboratory of Theoretical Physics, Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
3
Department of Physics, Faculty of Physics and Electronic Sciences, Hubei University, Wuhan, 430062, People’s Republic of China
4
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China
* e-mail: hushan@itp.ac.cn
Received:
14
August
2016
Accepted:
2
March
2017
Published online:
17
March
2017
To solve the fine-tuning problem in -term hybrid inflation, we will realize the supersymmetry scenario with the TeV-scale supersymmetric particles and intermediate-scale gravitino from anomaly mediation, which can be consistent with the WMAP and Planck experiments. Moreover, we for the first time propose the -term hybrid inflation in no-scale supergravity. With four scenarios for the 
model, we show that the correct scalar spectral index 
can be obtained, while the tensor-to-scalar ratio r is predicted to be tiny, about 
–
. Also, the 
symmetry breaking scale is around 
GeV, and all the supersymmetric particles except gravitino are around the TeV scale, while the gravitino mass is around 
–
GeV. Considering the complete potential terms linear in S, we for the first time show that the tadpole term, which is the key for such kind of inflationary models to be consistent with the observed scalar spectral index, vanishes after inflation. Thus, to obtain the term, we need to generate the supersymmetry breaking soft term 
due to 
in no-scale supergravity, where 
and 
are vector-like Higgs fields at high energy. We show that the proper term can be obtained in the M-theory inspired no-scale supergravity. We also point out that 
around 700 GeV can be generated via the renormalization group equation running from string scale. We briefly comment on the supersymmetry phenomenological consequences as well.
© The Author(s), 2017
