https://doi.org/10.1140/epjc/s10052-018-6111-7
Regular Article - Theoretical Physics
Gravitino and Polonyi production in supergravity
1
Department of Physics, Fudan University, 220 Handan Road, 200433, Shanghai, China
2
Department of Physics, Tokyo Metropolitan University, Minami-ohsawa 1-1, Hachioji-shi, Tokyo, 192-0397, Japan
3
Research School for High Energy Physics, Tomsk Polytechnic University, 2a Lenin Ave, Tomsk, 634050, Russia
4
International Centre for Theoretical Physics and South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz, 271 Barra Funda, Sao Paulo, CEP, 01140-070, Brazil
5
Kavli Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, Chiba, 277-8568, Japan
6
Centre for Cosmoparticle Physics Cosmion, National Research Nuclear University MEPHI (Moscow Engineering Physics Institute), Kashirskoe Sh., 31, Moscow, 115409, Russia
7
APC Laboratory 10, rue Alice Domon et Léonie Duquet, 75205, Paris, Cedex 13, France
* e-mail: 3209728351@qq.com
Received:
2
March
2018
Accepted:
27
July
2018
Published online:
11
August
2018
We study production of gravitino and Polonyi particles in the minimal Starobinsky-Polonyi 
supergravity with inflaton belonging to a massive vector supermultiplet. Our model has only one free parameter given by the scale of spontaneous SUSY breaking triggered by Polonyi chiral superfield. The vector supermultiplet generically enters the action non-minimally, via an arbitrary real function. This function is chosen to generate the inflaton scalar potential of the Starobinsky model. Our supergravity model can be reformulated as an abelian supersymmetric gauge theory with the vector gauge superfield coupled to two (Higgs and Polonyi) chiral superfields interacting with supergravity, where the U(1) gauge symmetry is spontaneously broken. We find that Polonyi and gravitino particles are efficiently produced during inflation, and estimate their masses and the reheating temperature. After inflation, perturbative decay of inflaton also produces Polonyi particles that rapidly decay into gravitinos. As a result, a coherent picture of inflation and dark matter emerges, where the abundance of produced gravitinos after inflation fits the CMB constraints as a Super Heavy Dark Matter (SHDM) candidate. Our scenario avoids the notorous gravitino and Polonyi problems with the Big Bang Nucleosynthesis (BBN) and DM overproduction.
© The Author(s), 2018
