×

Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-Dilaton inflations. (English) Zbl 1405.83079

Summary: We show that introducing an \(R^2\)-term makes the Higgs-inflation and Higgs-dilaton inflation consistent models: the strong coupling energy scales in scalar, gauge and gravity sectors all are lifted up to the Planck scale.

MSC:

83F05 Relativistic cosmology
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C47 Methods of quantum field theory in general relativity and gravitational theory

References:

[1] Bezrukov, F. L.; Shaposhnikov, M., Phys. Lett. B, 659, 703 (2008)
[2] Ade, P. A.R., Astron. Astrophys., 594, A20 (2016)
[3] Burgess, C. P.; Lee, H. M.; Trott, M., J. High Energy Phys., 0909, Article 103 pp. (2009)
[4] Barbon, J. L.F.; Espinosa, J. R., Phys. Rev. D, 79, Article 081302 pp. (2009)
[5] Bezrukov, F.; Gorbunov, D.; Shaposhnikov, M., J. Cosmol. Astropart. Phys., 1110, Article 001 pp. (2011)
[6] Bezrukov, F.; Magnin, A.; Shaposhnikov, M.; Sibiryakov, S., J. High Energy Phys., 1101, Article 016 pp. (2011)
[7] Bezrukov, F.; Gorbunov, D.; Shaposhnikov, M., J. Cosmol. Astropart. Phys., 0906, Article 029 pp. (2009)
[8] Garcia-Bellido, J.; Figueroa, D. G.; Rubio, J., Phys. Rev. D, 79, Article 063531 pp. (2009)
[9] DeCross, M. P.; Kaiser, D. I.; Prabhu, A.; Prescod-Weinstein, C.; Sfakianakis, E. I., Phys. Rev. D, 97, 2, Article 023528 pp. (2018)
[10] Ema, Y.; Jinno, R.; Mukaida, K.; Nakayama, K., J. Cosmol. Astropart. Phys., 1702, 02, Article 045 pp. (2017)
[11] Bezrukov, F., Class. Quantum Gravity, 30, Article 214001 pp. (2013) · Zbl 1277.83003
[12] Avramidi, I. G., Covariant methods for the calculation of the effective action in quantum field theory and investigation of higher derivative quantum gravity
[13] Bezrukov, F.; Shaposhnikov, M., J. High Energy Phys., 0907, Article 089 pp. (2009)
[14] Stelle, K. S., Gen. Relativ. Gravit., 9, 353 (1978)
[15] Ema, Y., Phys. Lett. B, 770, 403 (2017) · Zbl 1403.83059
[16] Starobinsky, A. A., Phys. Lett. B, 91, 99 (1980); Starobinsky, A. A., Nonsingular model of the Universe with the quantum-gravitational de Sitter stage and its observational consequences, (Markov, M. A.; West, P. C., Proc. of the Second Seminar “Quantum Theory of Gravity”. Proc. of the Second Seminar “Quantum Theory of Gravity”, Moscow, 13-15 October 1981 (1982), INR Press: INR Press Moscow). (Quantum Gravity (1984), Plenum Publ. Co.: Plenum Publ. Co. New York), 103-128, reprinted in:
[17] Bezrukov, F. L.; Gorbunov, D. S., Phys. Lett. B, 713, 365 (2012)
[18] Gorbunov, D.; Tokareva, A., J. Cosmol. Astropart. Phys., 1312, Article 021 pp. (2013)
[19] Wang, Y. C.; Wang, T., Phys. Rev. D, 96, 12, Article 123506 pp. (2017)
[20] Giudice, G. F.; Lee, H. M., Phys. Lett. B, 694, 294 (2011)
[21] Lee, H. M., Phys. Lett. B, 722, 198 (2013) · Zbl 1311.83073
[22] Lee, H. M.
[23] He, M.; Starobinsky, A. A.; Yokoyama, J., J. Cosmol. Astropart. Phys., 1805, 05, Article 064 pp. (2018)
[24] Bezrukov, F.; Karananas, G. K.; Rubio, J.; Shaposhnikov, M., Phys. Rev. D, 87, 9, Article 096001 pp. (2013)
[25] Garcia-Bellido, J.; Rubio, J.; Shaposhnikov, M.; Zenhausern, D., Phys. Rev. D, 84, Article 123504 pp. (2011)
[26] Gorbunov, D.; Tokareva, A., Phys. Lett. B, 739, 50 (2014)
[27] Bednyakov, A. V.; Kniehl, B. A.; Pikelner, A. F.; Veretin, O. L., Phys. Rev. Lett., 115, 20, Article 201802 pp. (2015)
[28] Bezrukov, F.; Pauly, M.; Rubio, J., J. Cosmol. Astropart. Phys., 1802, 02, Article 040 pp. (2018)
[29] Bezrukov, F.; Rubio, J.; Shaposhnikov, M., Phys. Rev. D, 92, 8, Article 083512 pp. (2015)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.