Abstract
We consider the question of whether Q-balls can exist in a chiral Lagrangian truncated at leading order when, in addition, the Standard Model Higgs boson couples to the pseudo-Nambu-Golstone bosons (pNGBs). In particular, we consider the so-called thin-wall limit where volume energy dominates over surface energy. It is known that the leading order chiral Lagrangian alone does not support such multi-field solutions. Augmented by the Higgs, however, we do indeed find that such solutions exist. We then study their properties numerically and, in various limits, analytically. Furthermore, since we consider a mirror-world-like model where the pNGBs are composite states of fundamental fermions, the question of Fermi repulsion in the high density bulk of the Q-ball plays a central role in determining its properties. The main effect is that when the parameter controlling the Fermi repulsion increases beyond a critical value, the radius of the Q-ball increases and continues to increase while the Q-ball becomes more weakly bound. As a result, there are Q-ball solutions with radii well exceeding a femtometer which would interact with nuclei in direct detection experiments via momentum-dependent form factors making their signatures striking. We leave the question of the production and direct detection of these Q-balls to a future study.
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References
T.D. Lee and Y. Pang, Nontopological solitons, Phys. Rept. 221 (1992) 251 [INSPIRE].
S.R. Coleman, Q-balls, Nucl. Phys. B 262 (1985) 263 [Erratum ibid. 269 (1986) 744] [INSPIRE].
A. Kusenko, Solitons in the supersymmetric extensions of the standard model, Phys. Lett. B 405 (1997) 108 [hep-ph/9704273] [INSPIRE].
A.M. Safian, S.R. Coleman and M. Axenides, Some non-Abelian Q balls, Nucl. Phys. B 297 (1988) 498 [INSPIRE].
K.-M. Lee, J.A. Stein-Schabes, R. Watkins and L.M. Widrow, Gauged q balls, Phys. Rev. D 39 (1989) 1665 [INSPIRE].
J. Heeck, A. Rajaraman, R. Riley and C.B. Verhaaren, Mapping gauged Q balls, Phys. Rev. D 103 (2021) 116004 [arXiv:2103.06905] [INSPIRE].
A. Kusenko and M.E. Shaposhnikov, Supersymmetric Q balls as dark matter, Phys. Lett. B 418 (1998) 46 [hep-ph/9709492] [INSPIRE].
A. Kusenko, Small Q balls, Phys. Lett. B 404 (1997) 285 [hep-th/9704073] [INSPIRE].
J. Heeck, A. Rajaraman, R. Riley and C.B. Verhaaren, Understanding Q balls beyond the thin-wall limit, Phys. Rev. D 103 (2021) 045008 [arXiv:2009.08462] [INSPIRE].
J. Distler, B.R. Hill and D. Spector, K balls in the chiral Lagrangian, Phys. Lett. B 182 (1986) 71 [INSPIRE].
F. Bishara, G. Johnson, O. Lennon and J. March-Russell, Higgs assisted Q balls from pseudo-Nambu-Goldstone bosons, JHEP 11 (2017) 179 [arXiv:1708.04620] [INSPIRE].
D.A. Demir, Stable Q balls from extra dimensions, Phys. Lett. B 495 (2000) 357 [hep-ph/0006344] [INSPIRE].
S. Abel and A. Kehagias, Q-branes, JHEP 11 (2015) 096 [arXiv:1507.04557] [INSPIRE].
A. Kusenko and P.J. Steinhardt, Q ball candidates for selfinteracting dark matter, Phys. Rev. Lett. 87 (2001) 141301 [astro-ph/0106008] [INSPIRE].
P.W. Graham, S. Rajendran and J. Varela, Dark matter triggers of supernovae, Phys. Rev. D 92 (2015) 063007 [arXiv:1505.04444] [INSPIRE].
E. Pontón, Y. Bai and B. Jain, Electroweak symmetric dark matter balls, JHEP 09 (2019) 011 [arXiv:1906.10739] [INSPIRE].
E. Krylov, A. Levin and V. Rubakov, Cosmological phase transition, baryon asymmetry and dark matter Q balls, Phys. Rev. D 87 (2013) 083528 [arXiv:1301.0354] [INSPIRE].
G. Gelmini, A. Kusenko and S. Nussinov, Experimental identification of nonpointlike dark matter candidates, Phys. Rev. Lett. 89 (2002) 101302 [hep-ph/0203179] [INSPIRE].
A. Kusenko, V. Kuzmin, M.E. Shaposhnikov and P.G. Tinyakov, Experimental signatures of supersymmetric dark matter Q balls, Phys. Rev. Lett. 80 (1998) 3185 [hep-ph/9712212] [INSPIRE].
D. Croon, A. Kusenko, A. Mazumdar and G. White, Solitosynthesis and gravitational waves, Phys. Rev. D 101 (2020) 085010 [arXiv:1910.09562] [INSPIRE].
G. White, L. Pearce, D. Vagie and A. Kusenko, Detectable gravitational wave signals from Affleck-Dine baryogenesis, Phys. Rev. Lett. 127 (2021) 181601 [arXiv:2105.11655] [INSPIRE].
I.Y. Kobzarev, L.B. Okun and I.Y. Pomeranchuk, On the possibility of experimental observation of mirror particles, Sov. J. Nucl. Phys. 3 (1966) 837 [Yad. Fiz. 3 (1966) 1154] [INSPIRE].
R. Foot, H. Lew and R.R. Volkas, A model with fundamental improper space-time symmetries, Phys. Lett. B 272 (1991) 67 [INSPIRE].
R. Foot, Mirror dark matter: cosmology, galaxy structure and direct detection, Int. J. Mod. Phys. A 29 (2014) 1430013 [arXiv:1401.3965] [INSPIRE].
S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1, Phys. Rev. 177 (1969) 2239 [INSPIRE].
C.G. Callan, Jr., S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 2, Phys. Rev. 177 (1969) 2247 [INSPIRE].
M.B. Voloshin and V.I. Zakharov, Measuring QCD anomalies in hadronic transitions between onium states, Phys. Rev. Lett. 45 (1980) 688 [INSPIRE].
M.B. Voloshin, Once again about the role of gluonic mechanism in interaction of light Higgs boson with hadrons, Sov. J. Nucl. Phys. 44 (1986) 478 [Yad. Fiz. 44 (1986) 738] [INSPIRE].
R.S. Chivukula, A.G. Cohen, H. Georgi, B. Grinstein and A.V. Manohar, Higgs decay into Goldstone bosons, Annals Phys. 192 (1989) 93 [INSPIRE].
Z. Chacko, H.-S. Goh and R. Harnik, The twin Higgs: natural electroweak breaking from mirror symmetry, Phys. Rev. Lett. 96 (2006) 231802 [hep-ph/0506256] [INSPIRE].
Z. Chacko, Y. Nomura, M. Papucci and G. Perez, Natural little hierarchy from a partially Goldstone twin Higgs, JHEP 01 (2006) 126 [hep-ph/0510273] [INSPIRE].
Z. Chacko, H.-S. Goh and R. Harnik, A twin Higgs model from left-right symmetry, JHEP 01 (2006) 108 [hep-ph/0512088] [INSPIRE].
N. Craig, A. Katz, M. Strassler and R. Sundrum, Naturalness in the dark at the LHC, JHEP 07 (2015) 105 [arXiv:1501.05310] [INSPIRE].
I. Garcia Garcia, R. Lasenby and J. March-Russell, Twin Higgs WIMP dark matter, Phys. Rev. D 92 (2015) 055034 [arXiv:1505.07109] [INSPIRE].
I. Garcia Garcia, R. Lasenby and J. March-Russell, Twin Higgs asymmetric dark matter, Phys. Rev. Lett. 115 (2015) 121801 [arXiv:1505.07410] [INSPIRE].
N. Craig and A. Katz, The fraternal WIMP miracle, JCAP 10 (2015) 054 [arXiv:1505.07113] [INSPIRE].
M. Farina, A. Monteux and C.S. Shin, Twin mechanism for baryon and dark matter asymmetries, Phys. Rev. D 94 (2016) 035017 [arXiv:1604.08211] [INSPIRE].
V. Barger, P. Langacker, M. McCaskey, M. Ramsey-Musolf and G. Shaughnessy, Complex singlet extension of the Standard Model, Phys. Rev. D 79 (2009) 015018 [arXiv:0811.0393] [INSPIRE].
S.R. Coleman, The fate of the false vacuum. 1. Semiclassical theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. 16 (1977) 1248] [INSPIRE].
C.G. Callan, Jr. and S.R. Coleman, The fate of the false vacuum. 2. First quantum corrections, Phys. Rev. D 16 (1977) 1762 [INSPIRE].
S.R. Coleman, V. Glaser and A. Martin, Action minima among solutions to a class of Euclidean scalar field equations, Commun. Math. Phys. 58 (1978) 211 [INSPIRE].
D. Spector, First order phase transitions in a sector of fixed charge, Phys. Lett. B 194 (1987) 103 [INSPIRE].
T. Tamaki and N. Sakai, How does gravity save or kill Q-balls?, Phys. Rev. D 83 (2011) 044027 [arXiv:1105.2932] [INSPIRE].
N. Sakai and T. Tamaki, What happens to Q balls if Q is so large?, Phys. Rev. D 85 (2012) 104008 [arXiv:1112.5559] [INSPIRE].
T. Tamaki and N. Sakai, What are universal features of gravitating Q balls?, Phys. Rev. D 84 (2011) 044054 [arXiv:1108.3902] [INSPIRE].
J.A. Frieman, A.V. Olinto, M. Gleiser and C. Alcock, Cosmic evolution of nontopological solitons. 1, Phys. Rev. D 40 (1989) 3241 [INSPIRE].
K. Griest and E.W. Kolb, Solitosynthesis: cosmological evolution of nontopological solitons, Phys. Rev. D 40 (1989) 3231 [INSPIRE].
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Bishara, F., Lennon, O. Thin-walled Higgs assisted Q-balls from pseudo-Nambu-Goldstone bosons. J. High Energ. Phys. 2022, 79 (2022). https://doi.org/10.1007/JHEP10(2022)079
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DOI: https://doi.org/10.1007/JHEP10(2022)079