- Letter
- Open Access
Precision unification and the scale of supersymmetry
Phys. Rev. D 109, L011704 – Published 25 January, 2024
DOI: https://doi.org/10.1103/PhysRevD.109.L011704
Abstract
In this paper, we study the implications of precise gauge coupling unification on supersymmetric particle masses. We argue that precise unification favors the superpartner masses that are in the range of several TeV and well beyond. We demonstrate this in the minimal supersymmetric theory with a common sparticle mass threshold, and two simple high-scale scenarios; minimal supergravity and minimal anomaly-mediated supersymmetry. We also identify candidate models with a Higgsino or a wino dark matter candidate. Finally, the analysis shows unambiguously that unless one takes foggy naturalness notions too seriously, the lack of direct superpartner discoveries at the LHC has not diminished the viability of supersymmetric unified theories in general nor even precision unification in particular.
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References (42)
- S. Dimopoulos and H. Georgi, Softly broken supersymmetry and SU(5), Nucl. Phys. B193, 150 (1981).
- S. Dimopoulos, S. Raby, and F. Wilczek, Supersymmetry and the scale of unification, Phys. Rev. D 24, 1681 (1981).
- H. Goldberg, Constraint on the photino mass from cosmology, Phys. Rev. Lett. 50, 1419 (1983); 103, 099905(E) (2009).
- J. R. Ellis, J. S. Hagelin, D. V. Nanopoulos, K. A. Olive, and M. Srednicki, Supersymmetric relics from the big bang, Nucl. Phys. B238, 453 (1984).
- J. D. Wells, Implications of supersymmetry breaking with a little hierarchy between gauginos and scalars, in Proceedings of the 11th International Conference on Supersymmetry and the Unification of Fundamental Interactions (2003), arXiv:hep-ph/0306127.
- N. Arkani-Hamed, S. Dimopoulos, G. F. Giudice, and A. Romanino, Aspects of split supersymmetry, Nucl. Phys. B709, 3 (2005).
- J. D. Wells, PeV-scale supersymmetry, Phys. Rev. D 71, 015013 (2005).
- A. Arvanitaki, N. Craig, S. Dimopoulos, and G. Villadoro, Mini-split, J. High Energy Phys. 02 (2013) 126.
- S. A. R. Ellis and J. D. Wells, Visualizing gauge unification with high-scale thresholds, Phys. Rev. D 91, 075016 (2015).
- S. A. R. Ellis and J. D. Wells, High-scale supersymmetry, the Higgs boson mass, and gauge unification, Phys. Rev. D 96, 055024 (2017).
- A. Hebecker and M. Trapletti, Gauge unification in highly anisotropic string compactifications, Nucl. Phys. B713, 173 (2005).
- S. Raby, M. Ratz, and K. Schmidt-Hoberg, Precision gauge unification in the MSSM, Phys. Lett. B 687, 342 (2010).
- S. Krippendorf, H. P. Nilles, M. Ratz, and M. W. Winkler, Hidden SUSY from precision gauge unification, Phys. Rev. D 88, 035022 (2013).
- S. P. Martin, A supersymmetry primer, Adv. Ser. Dir. High Energy Phys. 18, 1 (1998), updated 27 January 2016.
- G. F. Giudice, M. A. Luty, H. Murayama, and R. Rattazzi, Gaugino mass without singlets, J. High Energy Phys. 12 (1998) 027.
- L. Randall and R. Sundrum, Out of this world supersymmetry breaking, Nucl. Phys. B557, 79 (1999).
- T. Gherghetta, G. F. Giudice, and J. D. Wells, Phenomenological consequences of supersymmetry with anomaly induced masses, Nucl. Phys. B559, 27 (1999).
- M. Luty and R. Sundrum, Anomaly mediated supersymmetry breaking in four-dimensions, naturally, Phys. Rev. D 67, 045007 (2003).
- R. Harnik, H. Murayama, and A. Pierce, Purely four-dimensional viable anomaly mediation, J. High Energy Phys. 08 (2002) 034.
- S. Profumo and C. E. Yaguna, A statistical analysis of supersymmetric dark matter in the MSSM after WMAP, Phys. Rev. D 70, 095004 (2004).
- G. F. Giudice and A. Romanino, Split supersymmetry, Nucl. Phys. B699, 65 (2004); B706, 487(E) (2005).
- A. Pierce, Dark matter in the finely tuned minimal supersymmetric standard model, Phys. Rev. D 70, 075006 (2004).
- N. Arkani-Hamed, A. Delgado, and G. F. Giudice, The Well-tempered neutralino, Nucl. Phys. B741, 108 (2006).
- J. Hisano, S. Matsumoto, M. Nagai, O. Saito, and M. Senami, Non-perturbative effect on thermal relic abundance of dark matter, Phys. Lett. B 646, 34 (2007).
- M. Cirelli, A. Strumia, and M. Tamburini, Cosmology and astrophysics of minimal dark matter, Nucl. Phys. B787, 152 (2007).
- A. Hryczuk, R. Iengo, and P. Ullio, Relic densities including sommerfeld enhancements in the MSSM, J. High Energy Phys. 03 (2002) 069.
- H. Baer, V. Barger, and P. Huang, Hidden SUSY at the LHC: The light higgsino-world scenario and the role of a lepton collider, J. High Energy Phys. 11 (2011) 031.
- T. Cohen, M. Lisanti, A. Pierce, and T. R. Slatyer, Wino dark matter under siege, J. Cosmol. Astropart. Phys. 10 (2013) 061.
- J. Fan and M. Reece, In Wino Veritas? Indirect searches shed light on neutralino dark matter, J. High Energy Phys. 10 (2013) 124.
- H. Baer, V. Barger, and H. Serce, SUSY under siege from direct and indirect WIMP detection experiments, Phys. Rev. D 94, 115019 (2016).
- K. Kowalska and E. M. Sessolo, The discreet charm of higgsino dark matter—a pocket review, Adv. High Energy Phys. 2018, 6828560 (2018).
- R. T. Co, B. Sheff, and J. D. Wells, Race to find split Higgsino dark matter, Phys. Rev. D 105, 035012 (2022).
- R. T. Co, A. Pierce, B. Sheff, and J. D. Wells, Discovery potential for split supersymmetry with thermal dark matter, Phys. Rev. D 106, 095001 (2022).
- L. J. Hall, Grand unification of effective gauge theories, Nucl. Phys. B178, 75 (1981).
- S. Raby, Supersymmetric Grand Unified Theories: From Quarks to Strings via SUSY GUTs (Springer, New York, 2017), Vol. 939, 10.1007/978-3-319-55255-2.
- S. P. Martin and M. T. Vaughn, Two loop renormalization group equations for soft supersymmetry breaking couplings, Phys. Rev. D 50, 2282 (1994); 78, 039903(E) (2008).
- W. Porod and F. Staub, SPheno 3.1: Extensions including flavour, -phases and models beyond the MSSM, Comput. Phys. Commun. 183, 2458 (2012).
- W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at colliders, Comput. Phys. Commun. 153, 275 (2003).
- F. Staub and W. Porod, Improved predictions for intermediate and heavy Supersymmetry in the MSSM and beyond, Eur. Phys. J. C 77, 338 (2017).
- T. Moroi, H. Murayama, and M. Yamaguchi, Cosmological constraints on the light stable gravitino, Phys. Lett. B 303, 289 (1993).
- S. P. Martin, Status and future of supersymmetry, Proceedings of the 30th International Conference on Supersymmetry and Unification of Fundamental Interactions (2023), https://indico.cern.ch/event/1214022/contributions/5461067/.
- J. D. Wells, Naturalness, extra-empirical theory assessments, and the implications of skepticism, Found. Phys. 49, 991 (2019).