Abstract
In the quest for unification of the Standard Model with gravity, classical scale invariance can be utilized to dynamically generate the Planck mass MPl. However, the relation of Planck scale physics to the scale of electroweak symmetry breaking μH requires further explanation. In this paper, we propose a model that uses the spontaneous breaking of scale invariance in the scalar sector as a unified origin for dynamical generation of both scales. Using the Gildener-Weinberg approximation, only one scalar acquires a vacuum expectation value of υS ∼ (1016−17) GeV, thus radiatively generating \( {M}_{\mathrm{P}1}\approx {\beta}_S^{1/2}{\upsilon}_S \) and μH via the neutrino option with right handed neutrino masses mN = yMυS ∼ 107 GeV. Consequently, active SM neutrinos are given a mass with the inclusion of a type-I seesaw mechanism. Furthermore, we adopt an unbroken Z2 symmetry and a Z2-odd set of right-handed Majorana neutrinos χ that do not take part in the neutrino option and are able to produce the correct dark matter relic abundance (dominantly) via inflaton decay. The model also describes cosmic inflation and the inflationary CMB observables are predicted to interpolate between those of R2 and linear chaotic inflationary model and are thus well within the strongest experimental constraints.
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References
Y. Fujii, Scalar-tensor theory of gravitation and spontaneous breakdown of scale invariance, Phys. Rev. D 9 (1974) 874 [INSPIRE].
P. Minkowski, On the spontaneous origin of Newton’s constant, Phys. Lett. B 71 (1977) 419 [INSPIRE].
A. Zee, A broken symmetric theory of gravity, Phys. Rev. Lett. 42 (1979) 417 [INSPIRE].
H. Terazawa, Cosmological origin of mass scales, Phys. Lett. B 101 (1981) 43 [INSPIRE].
A. Salvio and A. Strumia, Agravity, JHEP 06 (2014) 080 [arXiv:1403.4226] [INSPIRE].
K. Kannike et al., Dynamically induced Planck scale and inflation, JHEP 05 (2015) 065 [arXiv:1502.01334] [INSPIRE].
K. Kannike, M. Raidal, C. Spethmann and H. Veermäe, The evolving Planck mass in classically scale-invariant theories, JHEP 04 (2017) 026 [arXiv:1610.06571] [INSPIRE].
M. B. Einhorn and D. R. T. Jones, Naturalness and dimensional transmutation in classically scale-invariant gravity, JHEP 03 (2015) 047 [arXiv:1410.8513] [INSPIRE].
J. F. Donoghue and G. Menezes, Gauge assisted quadratic gravity: a framework for UV complete quantum gravity, Phys. Rev. D 97 (2018) 126005 [arXiv:1804.04980] [INSPIRE].
J. F. Donoghue and G. Menezes, Inducing the Einstein action in QCD-like theories, Phys. Rev. D 97 (2018) 056022 [arXiv:1712.04468] [INSPIRE].
B. Holdom and J. Ren, QCD analogy for quantum gravity, Phys. Rev. D 93 (2016) 124030 [arXiv:1512.05305] [INSPIRE].
C. T. Hill, Inertial symmetry breaking, in Collider physics and the cosmos: a Galileo Galilei institute conference, (2018) [arXiv:1803.06994] [INSPIRE].
P. G. Ferreira, C. T. Hill and G. G. Ross, Weyl current, scale-invariant inflation and Planck scale generation, Phys. Rev. D 95 (2017) 043507 [arXiv:1610.09243] [INSPIRE].
S. Vicentini, L. Vanzo and M. Rinaldi, Scale-invariant inflation with one-loop quantum corrections, Phys. Rev. D 99 (2019) 103516 [arXiv:1902.04434] [INSPIRE].
F. Englert, E. Gunzig, C. Truffin and P. Windey, Conformal invariant general relativity with dynamical symmetry breakdown, Phys. Lett. B 57 (1975) 73 [INSPIRE].
F. Englert, C. Truffin and R. Gastmans, Conformal invariance in quantum gravity, Nucl. Phys. B 117 (1976) 407 [INSPIRE].
E. M. Chudnovsky, The spontaneous conformal symmetry breaking and Higgs model, Theor. Math. Phys. 35 (1978) 538 [Teor. Mat. Fiz. 35 (1978) 398] [INSPIRE].
E. S. Fradkin and G. A. Vilkovisky, Conformal off mass shell extension and elimination of conformal anomalies in quantum gravity, Phys. Lett. B 73 (1978) 209 [INSPIRE].
L. Smolin, Towards a theory of space-time structure at very short distances, Nucl. Phys. B 160 (1979) 253 [INSPIRE].
A. Zee, The horizon problem and the broken symmetric theory of gravity, Phys. Rev. Lett. 44 (1980) 703 [INSPIRE].
H. T. Nieh, A spontaneously broken conformal gauge theory of gravitation, Phys. Lett. A 88 (1982) 388 [INSPIRE].
H. Terazawa, Y. Chikashige, K. Akama and T. Matsuki, Simple relation between the fine structure and gravitational constants, Phys. Rev. D 15 (1977) 1181 [INSPIRE].
K. Akama, Y. Chikashige and T. Matsuki, Unified model of the Nambu-Jona-Lasinio type for the gravitational and electromagnetic forces, Prog. Theor. Phys. 59 (1978) 653 [INSPIRE].
K. Akama, Y. Chikashige, T. Matsuki and H. Terazawa, Gravity and electromagnetism as collective phenomena: a derivation of Einstein’s general relativity, Prog. Theor. Phys. 60 (1978) 868 [INSPIRE].
S. L. Adler, Order R vacuum action functional in scalar free unified theories with spontaneous scale breaking, Phys. Rev. Lett. 44 (1980) 1567 [INSPIRE].
S. L. Adler, A formula for the induced gravitational constant, Phys. Lett. B 95 (1980) 241 [INSPIRE].
A. Zee, Spontaneously generated gravity, Phys. Rev. D 23 (1981) 858 [INSPIRE].
S. L. Adler, Einstein gravity as a symmetry-breaking effect in quantum field theory, Rev. Mod. Phys. 54 (1982) 729 [Erratum ibid. 55 (1983) 837] [INSPIRE].
P. D. Mannheim, Making the case for conformal gravity, Found. Phys. 42 (2012) 388 [arXiv:1101.2186] [INSPIRE].
D. M. Ghilencea, Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential, JHEP 03 (2019) 049 [arXiv:1812.08613] [INSPIRE].
I. Oda, Planck and electroweak scales emerging from conformal gravity, PoS CORFU2018 (2019) 057 [arXiv:1903.09309] [INSPIRE].
A. Barnaveli, S. Lucat and T. Prokopec, Inflation as a spontaneous symmetry breaking of Weyl symmetry, JCAP 01 (2019) 022 [arXiv:1809.10586] [INSPIRE].
S. R. Coleman and E. J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [arXiv:1807.06209] [INSPIRE].
Planck collaboration, Planck 2018 results. X. Constraints on inflation, Astron. Astrophys. 641 (2020) A10 [arXiv:1807.06211] [INSPIRE].
A. D. Linde, A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems, Phys. Lett. B 108 (1982) 389 [INSPIRE].
A. D. Linde, Coleman-Weinberg theory and a new inflationary universe scenario, Phys. Lett. B 114 (1982) 431 [INSPIRE].
A. Albrecht and P. J. Steinhardt, Cosmology for grand unified theories with radiatively induced symmetry breaking, Phys. Rev. Lett. 48 (1982) 1220 [INSPIRE].
A. A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. B 91 (1980) 99 [INSPIRE].
V. F. Mukhanov and G. V. Chibisov, Quantum fluctuations and a nonsingular universe, JETP Lett. 33 (1981) 532 [Pisma Zh. Eksp. Teor. Fiz. 33 (1981) 549] [INSPIRE].
A. A. Starobinsky, The perturbation spectrum evolving from a nonsingular initially de-Sitter cosmology and the microwave background anisotropy, Sov. Astron. Lett. 9 (1983) 302 [INSPIRE].
F. L. Bezrukov and M. Shaposhnikov, The Standard Model Higgs boson as the inflaton, Phys. Lett. B 659 (2008) 703 [arXiv:0710.3755] [INSPIRE].
M. B. Mijic, M. S. Morris and W.-M. Suen, The R2 cosmology: inflation without a phase transition, Phys. Rev. D 34 (1986) 2934 [INSPIRE].
J.-C. Hwang and H. Noh, f (R) gravity theory and CMBR constraints, Phys. Lett. B 506 (2001) 13 [astro-ph/0102423] [INSPIRE].
G. ’t Hooft, A class of elementary particle models without any adjustable real parameters, Found. Phys. 41 (2011) 1829 [arXiv:1104.4543] [INSPIRE].
K. S. Stelle, Renormalization of higher derivative quantum gravity, Phys. Rev. D 16 (1977) 953 [INSPIRE].
C. M. Bender and P. D. Mannheim, No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model, Phys. Rev. Lett. 100 (2008) 110402 [arXiv:0706.0207] [INSPIRE].
J. F. Donoghue and G. Menezes, Unitarity, stability and loops of unstable ghosts, Phys. Rev. D 100 (2019) 105006 [arXiv:1908.02416] [INSPIRE].
D. Anselmi and M. Piva, The ultraviolet behavior of quantum gravity, JHEP 05 (2018) 027 [arXiv:1803.07777] [INSPIRE].
D. A. Eliezer and R. P. Woodard, The problem of nonlocality in string theory, Nucl. Phys. B 325 (1989) 389 [INSPIRE].
X. Jaen, J. Llosa and A. Molina, A reduction of order two for infinite order lagrangians, Phys. Rev. D 34 (1986) 2302 [INSPIRE].
J. Z. Simon, Higher derivative Lagrangians, nonlocality, problems and solutions, Phys. Rev. D 41 (1990) 3720 [INSPIRE].
T. Biswas, E. Gerwick, T. Koivisto and A. Mazumdar, Towards singularity and ghost free theories of gravity, Phys. Rev. Lett. 108 (2012) 031101 [arXiv:1110.5249] [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
M. Holthausen, K. S. Lim and M. Lindner, Planck scale boundary conditions and the Higgs mass, JHEP 02 (2012) 037 [arXiv:1112.2415] [INSPIRE].
F. Bezrukov, M. Y. Kalmykov, B. A. Kniehl and M. Shaposhnikov, Higgs boson mass and new physics, JHEP 10 (2012) 140 [arXiv:1205.2893] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
W. A. Bardeen, On naturalness in the Standard Model, in Ontake summer institute on particle physics, (1995).
M. Lindner, Conformal extensions of the Standard Model, in Particle Astrophysics and Cosmology Including Fundamental Interactions, (PACIFIC 2019), Moore, French Polynesia, 1–6 September 2019.
R. Hempfling, The next-to-minimal Coleman-Weinberg model, Phys. Lett. B 379 (1996) 153 [hep-ph/9604278] [INSPIRE].
K. A. Meissner and H. Nicolai, Conformal symmetry and the Standard Model, Phys. Lett. B 648 (2007) 312 [hep-th/0612165] [INSPIRE].
C. G. Callan, Jr., Broken scale invariance in scalar field theory, Phys. Rev. D 2 (1970) 1541 [INSPIRE].
K. Symanzik, Small distance behavior in field theory and power counting, Commun. Math. Phys. 18 (1970) 227 [INSPIRE].
F. Vissani, Do experiments suggest a hierarchy problem?, Phys. Rev. D 57 (1998) 7027 [hep-ph/9709409] [INSPIRE].
J. A. Casas, V. Di Clemente, A. Ibarra and M. Quirós, Massive neutrinos and the Higgs mass window, Phys. Rev. D 62 (2000) 053005 [hep-ph/9904295] [INSPIRE].
J. D. Clarke, R. Foot and R. R. Volkas, Electroweak naturalness in the three-flavor type-I seesaw model and implications for leptogenesis, Phys. Rev. D 91 (2015) 073009 [arXiv:1502.01352] [INSPIRE].
G. Bambhaniya, P. S. Bhupal Dev, S. Goswami, S. Khan and W. Rodejohann, Naturalness, vacuum stability and leptogenesis in the minimal seesaw model, Phys. Rev. D 95 (2017) 095016 [arXiv:1611.03827] [INSPIRE].
I. Brivio and M. Trott, Radiatively generating the Higgs potential and electroweak scale via the seesaw mechanism, Phys. Rev. Lett. 119 (2017) 141801 [arXiv:1703.10924] [INSPIRE].
P. Minkowski, μ → eγ at a rate of one out of 109 muon decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
R. N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
V. Brdar, Y. Emonds, A. J. Helmboldt and M. Lindner, Conformal realization of the neutrino option, Phys. Rev. D 99 (2019) 055014 [arXiv:1807.11490] [INSPIRE].
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking, NATO Sci. Ser. B 59 (1980) 135 [INSPIRE].
E. Gildener and S. Weinberg, Symmetry breaking and scalar bosons, Phys. Rev. D 13 (1976) 3333 [INSPIRE].
D. J. H. Chung, E. W. Kolb and A. Riotto, Production of massive particles during reheating, Phys. Rev. D 60 (1999) 063504 [hep-ph/9809453] [INSPIRE].
R. Allahverdi and M. Drees, Production of massive stable particles in inflaton decay, Phys. Rev. Lett. 89 (2002) 091302 [hep-ph/0203118] [INSPIRE].
L. J. Hall, K. Jedamzik, J. March-Russell and S. M. West, Freeze-in production of FIMP dark matter, JHEP 03 (2010) 080 [arXiv:0911.1120] [INSPIRE].
D. A. Kirzhnits and A. D. Linde, Macroscopic consequences of the Weinberg model, Phys. Lett. B 42 (1972) 471 [INSPIRE].
R. Foot, A. Kobakhidze, K. L. McDonald and R. R. Volkas, Poincaré protection for a natural electroweak scale, Phys. Rev. D 89 (2014) 115018 [arXiv:1310.0223] [INSPIRE].
L. Casarin, H. Godazgar and H. Nicolai, Conformal anomaly for non-conformal scalar fields, Phys. Lett. B 787 (2018) 94 [arXiv:1809.06681] [INSPIRE].
C. F. Steinwachs and A. Y. Kamenshchik, One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results, Phys. Rev. D 84 (2011) 024026 [arXiv:1101.5047] [INSPIRE].
T. Markkanen, S. Nurmi, A. Rajantie and S. Stopyra, The 1-loop effective potential for the Standard Model in curved spacetime, JHEP 06 (2018) 040 [arXiv:1804.02020] [INSPIRE].
A. H. Guth, The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D 23 (1981) 347 [INSPIRE].
J. García-Bellido, J. Rubio, M. Shaposhnikov and D. Zenhausern, Higgs-dilaton cosmology: from the early to the late universe, Phys. Rev. D 84 (2011) 123504 [arXiv:1107.2163] [INSPIRE].
M. Rinaldi and L. Vanzo, Inflation and reheating in theories with spontaneous scale invariance symmetry breaking, Phys. Rev. D 94 (2016) 024009 [arXiv:1512.07186] [INSPIRE].
D. Benisty and E. I. Guendelman, Two scalar fields inflation from scale-invariant gravity with modified measure, Class. Quant. Grav. 36 (2019) 095001 [arXiv:1809.09866] [INSPIRE].
D. M. Ghilencea and H. M. Lee, Weyl gauge symmetry and its spontaneous breaking in the Standard Model and inflation, Phys. Rev. D 99 (2019) 115007 [arXiv:1809.09174] [INSPIRE].
J. Kubo, M. Lindner, K. Schmitz and M. Yamada, Planck mass and inflation as consequences of dynamically broken scale invariance, Phys. Rev. D 100 (2019) 015037 [arXiv:1811.05950] [INSPIRE].
H. Ishida and S. Matsuzaki, A walking dilaton inflation, Phys. Lett. B 804 (2020) 135390 [arXiv:1912.09740] [INSPIRE].
K. Kannike, A. Racioppi and M. Raidal, Embedding inflation into the Standard Model — more evidence for classical scale invariance, JHEP 06 (2014) 154 [arXiv:1405.3987] [INSPIRE].
N. D. Barrie, A. Kobakhidze and S. Liang, Natural inflation with hidden scale invariance, Phys. Lett. B 756 (2016) 390 [arXiv:1602.04901] [INSPIRE].
A. Farzinnia and S. Kouwn, Classically scale invariant inflation, supermassive WIMPs, and adimensional gravity, Phys. Rev. D 93 (2016) 063528 [arXiv:1512.05890] [INSPIRE].
A. Karam, T. Pappas and K. Tamvakis, Nonminimal Coleman-Weinberg inflation with an R2 term, JCAP 02 (2019) 006 [arXiv:1810.12884] [INSPIRE].
I. D. Gialamas, A. Karam and A. Racioppi, Dynamically induced Planck scale and inflation in the Palatini formulation, JCAP 11 (2020) 014 [arXiv:2006.09124] [INSPIRE].
A. Karam, L. Marzola, T. Pappas, A. Racioppi and K. Tamvakis, Constant-roll (quasi-)linear inflation, JCAP 05 (2018) 011 [arXiv:1711.09861] [INSPIRE].
D. Burns, S. Karamitsos and A. Pilaftsis, Frame-covariant formulation of inflation in scalar-curvature theories, Nucl. Phys. B 907 (2016) 785 [arXiv:1603.03730] [INSPIRE].
L. Järv et al., Frame-independent classification of single-field inflationary models, Phys. Rev. Lett. 118 (2017) 151302 [arXiv:1612.06863] [INSPIRE].
A. Y. Kamenshchik and C. F. Steinwachs, Question of quantum equivalence between Jordan frame and Einstein frame, Phys. Rev. D 91 (2015) 084033 [arXiv:1408.5769] [INSPIRE].
K. Falls and M. Herrero-Valea, Frame (in)equivalence in quantum field theory and cosmology, Eur. Phys. J. C 79 (2019) 595 [arXiv:1812.08187] [INSPIRE].
S. Kaneda and S. V. Ketov, Starobinsky-like two-field inflation, Eur. Phys. J. C 76 (2016) 26 [arXiv:1510.03524] [INSPIRE].
D. D. Canko, I. D. Gialamas and G. P. Kodaxis, A simple F(ℛ, ϕ) deformation of Starobinsky inflationary model, Eur. Phys. J. C 80 (2020) 458 [arXiv:1901.06296] [INSPIRE].
A. Gundhi and C. F. Steinwachs, Scalaron-Higgs inflation, Nucl. Phys. B 954 (2020) 114989 [arXiv:1810.10546] [INSPIRE].
A. Gundhi, S. V. Ketov and C. F. Steinwachs, Primordial black hole dark matter in dilaton-extended two-field Starobinsky inflation, Phys. Rev. D 103 (2021) 083518 [arXiv:2011.05999] [INSPIRE].
A. Gundhi and C. F. Steinwachs, Scalaron-Higgs inflation reloaded: Higgs-dependent scalaron mass and primordial black hole dark matter, Eur. Phys. J. C 81 (2021) 460 [arXiv:2011.09485] [INSPIRE].
J. Kubo, K. S. Lim and M. Lindner, Electroweak symmetry breaking via QCD, Phys. Rev. Lett. 113 (2014) 091604 [arXiv:1403.4262] [INSPIRE].
J. Kubo and M. Yamada, Genesis of electroweak and dark matter scales from a bilinear scalar condensate, Phys. Rev. D 93 (2016) 075016 [arXiv:1505.05971] [INSPIRE].
J. D. Barrow and S. Cotsakis, Inflation and the conformal structure of higher order gravity theories, Phys. Lett. B 214 (1988) 515 [INSPIRE].
K.-I. Maeda, Towards the Einstein-Hilbert action via conformal transformation, Phys. Rev. D 39 (1989) 3159 [INSPIRE].
D. Wands, Multiple field inflation, Lect. Notes Phys. 738 (2008) 275 [astro-ph/0702187] [INSPIRE].
A. D. Linde, Chaotic inflation, Phys. Lett. B 129 (1983) 177 [INSPIRE].
K. Kannike, A. Racioppi and M. Raidal, Linear inflation from quartic potential, JHEP 01 (2016) 035 [arXiv:1509.05423] [INSPIRE].
A. Racioppi, New universal attractor in nonminimally coupled gravity: linear inflation, Phys. Rev. D 97 (2018) 123514 [arXiv:1801.08810] [INSPIRE].
E. W. Kolb and M. S. Turner, The early universe, Front. Phys. 69 (1990) 1 [INSPIRE].
B. A. Bassett, S. Tsujikawa and D. Wands, Inflation dynamics and reheating, Rev. Mod. Phys. 78 (2006) 537 [astro-ph/0507632] [INSPIRE].
A. R. Liddle and S. M. Leach, How long before the end of inflation were observable perturbations produced?, Phys. Rev. D 68 (2003) 103503 [astro-ph/0305263] [INSPIRE].
J. Martin and C. Ringeval, First CMB constraints on the inflationary reheating temperature, Phys. Rev. D 82 (2010) 023511 [arXiv:1004.5525] [INSPIRE].
J. Martin, C. Ringeval and V. Vennin, Encyclopædia inflationaris, Phys. Dark Univ. 5-6 (2014) 75 [arXiv:1303.3787] [INSPIRE].
K. D. Lozanov and M. A. Amin, Self-resonance after inflation: oscillons, transients and radiation domination, Phys. Rev. D 97 (2018) 023533 [arXiv:1710.06851] [INSPIRE].
M. S. Turner, Coherent scalar field oscillations in an expanding universe, Phys. Rev. D 28 (1983) 1243 [INSPIRE].
M. A. G. Garcia, K. Kaneta, Y. Mambrini and K. A. Olive, Reheating and post-inflationary production of dark matter, Phys. Rev. D 101 (2020) 123507 [arXiv:2004.08404] [INSPIRE].
G. F. Giudice, A. Notari, M. Raidal, A. Riotto and A. Strumia, Towards a complete theory of thermal leptogenesis in the SM and MSSM, Nucl. Phys. B 685 (2004) 89 [hep-ph/0310123] [INSPIRE].
I. Brivio and M. Trott, Examining the neutrino option, JHEP 02 (2019) 107 [arXiv:1809.03450] [INSPIRE].
H. Davoudiasl and I. M. Lewis, Right-handed neutrinos as the origin of the electroweak scale, Phys. Rev. D 90 (2014) 033003 [arXiv:1404.6260] [INSPIRE].
V. Brdar, A. J. Helmboldt and J. Kubo, Gravitational waves from first-order phase transitions: LIGO as a window to unexplored seesaw scales, JCAP 02 (2019) 021 [arXiv:1810.12306] [INSPIRE].
M. Aoki, V. Brdar and J. Kubo, Heavy dark matter, neutrino masses, and Higgs naturalness from a strongly interacting hidden sector, Phys. Rev. D 102 (2020) 035026 [arXiv:2007.04367] [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys. 315 (2005) 305 [hep-ph/0401240] [INSPIRE].
V. Brdar, A. J. Helmboldt, S. Iwamoto and K. Schmitz, Type-I seesaw as the common origin of neutrino mass, baryon asymmetry, and the electroweak scale, Phys. Rev. D 100 (2019) 075029 [arXiv:1905.12634] [INSPIRE].
I. Brivio, K. Moffat, S. Pascoli, S. T. Petcov and J. Turner, Leptogenesis in the neutrino option, JHEP 10 (2019) 059 [Erratum ibid. 02 (2020) 148] [arXiv:1905.12642] [INSPIRE].
D. Anselmi, E. Bianchi and M. Piva, Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term, JHEP 07 (2020) 211 [arXiv:2005.10293] [INSPIRE].
L. F. Abbott and M. B. Wise, Wormholes and global symmetries, Nucl. Phys. B 325 (1989) 687 [INSPIRE].
R. Kallosh, A. D. Linde, D. A. Linde and L. Susskind, Gravity and global symmetries, Phys. Rev. D 52 (1995) 912 [hep-th/9502069] [INSPIRE].
D. Harlow and H. Ooguri, Symmetries in quantum field theory and quantum gravity, Commun. Math. Phys. 383 (2021) 1669 [arXiv:1810.05338] [INSPIRE].
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Kubo, J., Kuntz, J., Lindner, M. et al. Unified emergence of energy scales and cosmic inflation. J. High Energ. Phys. 2021, 16 (2021). https://doi.org/10.1007/JHEP08(2021)016
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DOI: https://doi.org/10.1007/JHEP08(2021)016