Exploring primordial black holes and gravitational waves with R-symmetric GUT Higgs inflation
Abstract: This study investigates the realization of R-symmetric Higgs inflation within the framework of no-scale-like supergravity, aiming to elucidate the formation of primordial black holes and observable gravitational waves within a class of GUT models. We explore the possibility of an ultra-slow-roll phase in a hybrid inflation framework, where the GUT Higgs field primarily takes on the role of the inflaton. The amplification of the scalar power spectrum gives rise to scalar-induced gravitational waves and the generation of primordial black holes. The predicted stochastic gravitational wave background falls within the sensitivity range of existing and upcoming gravitational wave detectors, while primordial black holes hold the potential to explain the abundance of dark matter. Furthermore, we highlight the significance of the leading-order nonrenormalizable term in the superpotential of achieving inflationary observables consistent with the latest experimental data. Additionally, the predicted range of the tensor-to-scalar ratio, a key measure of primordial gravitational waves, lies within the observational window of future experiments searching for B-mode polarization patterns in cosmic microwave background data.
- B. P. Abbott et al. (LIGO Scientific, Virgo), GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence, Phys. Rev. Lett. 116, 241103 (2016a), arXiv:1606.04855 [gr-qc] .
- B. P. Abbott et al. (LIGO Scientific, Virgo), GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence, Phys. Rev. Lett. 119, 141101 (2017a), arXiv:1709.09660 [gr-qc] .
- B. P. Abbott et al. (LIGO Scientific, Virgo), GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence, Astrophys. J. Lett. 851, L35 (2017b), arXiv:1711.05578 [astro-ph.HE] .
- B. P. Abbott et al. (LIGO Scientific, Virgo), Observation of Gravitational Waves from a Binary Black Hole Merger, Phys. Rev. Lett. 116, 061102 (2016b), arXiv:1602.03837 [gr-qc] .
- Y. B. Zel’dovich and I. D. Novikov, The Hypothesis of Cores Retarded during Expansion and the Hot Cosmological Model, Soviet Astron. AJ (Engl. Transl. ), 10, 602 (1967).
- S. Hawking, Gravitationally Collapsed Objects of Very Low Mass, Monthly Notices of the Royal Astronomical Society 152, 75 (1971).
- B. J. Carr and S. W. Hawking, Black Holes in the Early Universe, Monthly Notices of the Royal Astronomical Society 168, 399 (1974).
- B. J. Carr, The primordial black hole mass spectrum., Astrophys. J. 201, 1 (1975).
- M. I. Khlopov, B. A. Malomed, and I. B. Zeldovich, Gravitational instability of scalar fields and formation of primordial black holes, Mon. Not. Roy. Astron. Soc. 215, 575 (1985).
- G. Agazie et al. (NANOGrav), The NANOGrav 15 yr Data Set: Evidence for a Gravitational-wave Background, Astrophys. J. Lett. 951, L8 (2023), arXiv:2306.16213 [astro-ph.HE] .
- A. Afzal et al., The nanograv 15 yr data set: Search for signals from new physics, The Astrophysical Journal Letters 951, L11 (2023a).
- P. Amaro-Seoane et al., Laser interferometer space antenna (2017), arXiv:1702.00786 [astro-ph.IM] .
- K. Yagi and N. Seto, Detector configuration of DECIGO/BBO and identification of cosmological neutron-star binaries, Phys. Rev. D 83, 044011 (2011), [Erratum: Phys.Rev.D 95, 109901 (2017)], arXiv:1101.3940 [astro-ph.CO] .
- B. Carr and F. Kühnel, Primordial black holes as dark matter: Recent developments, Annual Review of Nuclear and Particle Science 70, 355–394 (2020).
- A. M. Green and B. J. Kavanagh, Primordial black holes as a dark matter candidate, Journal of Physics G: Nuclear and Particle Physics 48, 043001 (2021).
- A. Escrivà, F. Kuhnel, and Y. Tada, Primordial black holes (2023), arXiv:2211.05767 [astro-ph.CO] .
- O. Özsoy and G. Tasinato, Inflation and primordial black holes, Universe 9, 203 (2023).
- P. Villanueva-Domingo, O. Mena, and S. Palomares-Ruiz, A brief review on primordial black holes as dark matter, Frontiers in Astronomy and Space Sciences 8, 10.3389/fspas.2021.681084 (2021).
- H. Di and Y. Gong, Primordial black holes and second order gravitational waves from ultra-slow-roll inflation, Journal of Cosmology and Astroparticle Physics 2018 (07), 007.
- S. Clesse, J. García-Bellido, and S. Orani, Detecting the stochastic gravitational wave background from primordial black hole formation (2018), arXiv:1812.11011 [astro-ph.CO] .
- F. Hajkarim and J. Schaffner-Bielich, Thermal history of the early universe and primordial gravitational waves from induced scalar perturbations, Physical Review D 101, 10.1103/physrevd.101.043522 (2020).
- J. Liu, Z.-K. Guo, and R.-G. Cai, Analytical approximation of the scalar spectrum in the ultraslow-roll inflationary models, Physical Review D 101, 10.1103/physrevd.101.083535 (2020).
- S. Kawai and J. Kim, Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation, Physical Review D 107, 10.1103/physrevd.107.043523 (2023).
- Y. Aldabergenov, A. Addazi, and S. V. Ketov, Primordial black holes from modified supergravity, Eur. Phys. J. C 80, 917 (2020), arXiv:2006.16641 [hep-th] .
- S. Balaji, G. Domènech, and G. Franciolini, Scalar-induced gravitational wave interpretation of PTA data: the role of scalar fluctuation propagation speed, JCAP 10, 041, arXiv:2307.08552 [gr-qc] .
- A. Ghoshal, A. Moursy, and Q. Shafi, Cosmological probes of grand unification: Primordial black holes and scalar-induced gravitational waves, Phys. Rev. D 108, 055039 (2023), arXiv:2306.04002 [hep-ph] .
- A. Ghoshal and A. Strumia, Traversing a kinetic pole during inflation: primordial black holes and gravitational waves, (2023), arXiv:2311.16236 [hep-ph] .
- N. Ijaz, M. Mehmood, and M. U. Rehman, The Stochastic Gravitational-Wave Background from Primordial Black Holes in R-Symmetric SU(5)𝑆𝑈5SU(5)italic_S italic_U ( 5 ) Inflation, (2023), arXiv:2308.14908 [astro-ph.CO] .
- G. R. Dvali, Q. Shafi, and R. K. Schaefer, Large scale structure and supersymmetric inflation without fine tuning, Phys. Rev. Lett. 73, 1886 (1994), arXiv:hep-ph/9406319 .
- A. D. Linde and A. Riotto, Hybrid inflation in supergravity, Phys. Rev. D 56, R1841 (1997), arXiv:hep-ph/9703209 .
- V. N. Senoguz and Q. Shafi, Reheat temperature in supersymmetric hybrid inflation models, Phys. Rev. D 71, 043514 (2005), arXiv:hep-ph/0412102 .
- W. Buchmuller, L. Covi, and D. Delepine, Inflation and supersymmetry breaking, Phys. Lett. B 491, 183 (2000), arXiv:hep-ph/0006168 .
- M. U. Rehman, Q. Shafi, and J. R. Wickman, Supersymmetric Hybrid Inflation Redux, Phys. Lett. B 683, 191 (2010a), arXiv:0908.3896 [hep-ph] .
- V. N. Senoguz and Q. Shafi, Testing supersymmetric grand unified models of inflation, Phys. Lett. B 567, 79 (2003), arXiv:hep-ph/0305089 .
- V. C. Spanos and I. D. Stamou, Gravitational waves and primordial black holes from supersymmetric hybrid inflation, Phys. Rev. D 104, 123537 (2021), arXiv:2108.05671 [astro-ph.CO] .
- M. U. Rehman, M. M. A. Abid, and A. Ejaz, New Inflation in Supersymmetric SU(5) and Flipped SU(5) GUT Models, JCAP 11, 019, arXiv:1804.07619 [hep-ph] .
- A. Pal and Q. Shafi, Supersymmetric SU(5)×U(1)χ𝑆𝑈5𝑈subscript1𝜒SU(5)\times U(1)_{\chi}italic_S italic_U ( 5 ) × italic_U ( 1 ) start_POSTSUBSCRIPT italic_χ end_POSTSUBSCRIPT and the weak gravity conjecture, Phys. Rev. D 100, 043526 (2019), arXiv:1903.05703 [hep-ph] .
- W. Ahmed, M. U. Rehman, and U. Zubair, Probing stochastic gravitational wave background from su(5)×u(1)χ𝑠𝑢5𝑢subscript1𝜒su(5)\times u(1)_{\chi}italic_s italic_u ( 5 ) × italic_u ( 1 ) start_POSTSUBSCRIPT italic_χ end_POSTSUBSCRIPT strings in light of nanograv 15-year data (2023), arXiv:2308.09125 [hep-ph] .
- B. Kyae and Q. Shafi, Inflation with realistic supersymmetric SO(10), Phys. Rev. D 72, 063515 (2005), arXiv:hep-ph/0504044 .
- G. R. Dvali, G. Lazarides, and Q. Shafi, Mu problem and hybrid inflation in supersymmetric SU(2)-L x SU(2)-R x U(1)-(B-L), Phys. Lett. B 424, 259 (1998), arXiv:hep-ph/9710314 .
- M. U. Rehman, Q. Shafi, and U. Zubair, Gravity waves and proton decay in a flipped SU(5) hybrid inflation model, Phys. Rev. D 97, 123522 (2018), arXiv:1804.02493 [hep-ph] .
- M. U. Rehman, Q. Shafi, and F. K. Vardag, μ𝜇\muitalic_μ-Hybrid Inflation with Low Reheat Temperature and Observable Gravity Waves, Phys. Rev. D 96, 063527 (2017), arXiv:1705.03693 [hep-ph] .
- H. M. Lee, Chaotic inflation in jordan frame supergravity, Journal of Cosmology and Astroparticle Physics 2010 (08), 003–003.
- D. I. Kaiser, Conformal transformations with multiple scalar fields, Physical Review D 81, 10.1103/physrevd.81.084044 (2010).
- D. I. Kaiser, E. A. Mazenc, and E. I. Sfakianakis, Primordial bispectrum from multifield inflation with nonminimal couplings, Physical Review D 87, 10.1103/physrevd.87.064004 (2013).
- C. M. Peterson and M. Tegmark, Testing two-field inflation, Physical Review D 83, 10.1103/physrevd.83.023522 (2011).
- T. T. Nakamura and E. D. Stewart, The spectrum of cosmological perturbations produced by a multi-component inflaton to second order in the slow-roll approximation, Physics Letters B 381, 413 (1996).
- J.-O. Gong and T. Tanaka, A covariant approach to general field space metric in multi-field inflation, Journal of Cosmology and Astroparticle Physics 2011 (03), 015.
- M. A. Masoud, M. U. Rehman, and M. M. A. Abid, Nonminimal inflation in supersymmetric GUTs with U(1)R×Zn𝑈subscript1𝑅subscript𝑍𝑛U(1)_{R}\times Z_{n}italic_U ( 1 ) start_POSTSUBSCRIPT italic_R end_POSTSUBSCRIPT × italic_Z start_POSTSUBSCRIPT italic_n end_POSTSUBSCRIPT symmetry, Int. J. Mod. Phys. D 28, 2040015 (2019), arXiv:1910.10519 [hep-ph] .
- Y. Akrami et al., Planck2018 results: X. constraints on inflation, Astron. Astrophys. 641, A10 (2020).
- M. Dias, J. Frazer, and D. Seery, Computing observables in curved multifield models of inflation—A guide (with code) to the transport method, JCAP 12, 030, arXiv:1502.03125 [astro-ph.CO] .
- D. J. Mulryne, D. Seery, and D. Wesley, Moment transport equations for non-gaussianity, Journal of Cosmology and Astroparticle Physics 2010 (01), 024–024.
- D. J. Mulryne, D. Seery, and D. Wesley, Moment transport equations for the primordial curvature perturbation, Journal of Cosmology and Astroparticle Physics 2011 (04), 030–030.
- R. Laureijs et al. (EUCLID), Euclid Definition Study Report, (2011), arXiv:1110.3193 [astro-ph.CO] .
- P. Ade et al. (Simons Observatory), The Simons Observatory: Science goals and forecasts, JCAP 02, 056, arXiv:1808.07445 [astro-ph.CO] .
- M. Hazumi et al. (LiteBIRD), LiteBIRD: JAXA’s new strategic L-class mission for all-sky surveys of cosmic microwave background polarization, Proc. SPIE Int. Soc. Opt. Eng. 11443, 114432F (2020), arXiv:2101.12449 [astro-ph.IM] .
- S. Y. Khlebnikov and M. E. Shaposhnikov, The Statistical Theory of Anomalous Fermion Number Nonconservation, Nucl. Phys. B 308, 885 (1988).
- J. A. Harvey and M. S. Turner, Cosmological baryon and lepton number in the presence of electroweak fermion number violation, Phys. Rev. D 42, 3344 (1990).
- B. J. Carr, The Primordial black hole mass spectrum (1975).
- S. Young, C. T. Byrnes, and M. Sasaki, Calculating the mass fraction of primordial black holes, Journal of Cosmology and Astroparticle Physics 2014 (07), 045.
- T. Harada, C.-M. Yoo, and K. Kohri, Threshold of primordial black hole formation, Physical Review D 88, 10.1103/physrevd.88.084051 (2013).
- I. Musco, J. C. Miller, and A. G. Polnarev, Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse, Classical and Quantum Gravity 26, 235001 (2009).
- I. Musco, J. C. Miller, and L. Rezzolla, Computations of primordial black-hole formation, Classical and Quantum Gravity 22, 1405 (2005).
- A. Escrivà , C. Germani, and R. K. Sheth, Universal threshold for primordial black hole formation, Physical Review D 101, 10.1103/physrevd.101.044022 (2020).
- A. Escrivà , C. Germani, and R. K. Sheth, Analytical thresholds for black hole formation in general cosmological backgrounds, Journal of Cosmology and Astroparticle Physics 2021 (01), 030.
- L. Badurina et al., Aion: an atom interferometer observatory and network, Journal of Cosmology and Astroparticle Physics 2020 (05), 011–011.
- Y. A. El-Neaj et al., Aedge: Atomic experiment for dark matter and gravity exploration in space, EPJ Quantum Technology 7, 10.1140/epjqt/s40507-020-0080-0 (2020).
- S. Kawamura et al., Current status of space gravitational wave antenna decigo and b-decigo (2020), arXiv:2006.13545 [gr-qc] .
- A. Sesana et al., Unveiling the gravitational universe at μ𝜇\muitalic_μ-hz frequencies, Experimental Astronomy 51, 1333–1383 (2021).
- G. Janssen et al., Gravitational Wave Astronomy with the SKA, PoS AASKA14, 037 (2015).
- M. Maggiore, Gravitational wave experiments and early universe cosmology, Physics Reports 331, 283 (2000).
- K. Kohri and T. Terada, Semianalytic calculation of gravitational wave spectrum nonlinearly induced from primordial curvature perturbations, Physical Review D 97, 10.1103/physrevd.97.123532 (2018).
- K. Ando, K. Inomata, and M. Kawasaki, Primordial black holes and uncertainties in the choice of the window function, Physical Review D 97, 10.1103/physrevd.97.103528 (2018).
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