- Open Access
Gauge coupling unification and doublet-triplet splitting via GUT dynamical breaking
Phys. Rev. D 113, 115023 – Published 9 June, 2026
DOI: https://doi.org/10.1103/nmlg-cmd1
Abstract
An interesting framework to achieve gauge coupling unification consists in adding to the Standard Model Lagrangian nonrenormalizable operators of , which affect the kinetic term of gauge fields. We first review the phenomenology related to this framework in the context of , identifying which are the most interesting representations for the sake of achieving coupling unification. Second, we point out that in the case of a dynamical breaking pattern, it is possible to relate gauge coupling unification with the doublet-triplet splitting problem. We show that condensates of fermions in the 5 representation do not lead to viable models because of proton decay constraints. At difference, we point out that successful models can be obtained by considering condensates of fermions in the 10, as well as in the 24 representations.
Physics Subject Headings (PhySH)
Article Text
References (29)
- I. Masina and M. Quirós, Standard model partial unification scale as a guide to new physics model building, Phys. Rev. D 113, 095026 (2026).
- K. R. Dienes, String theory and the path to unification: A review of recent developments, Phys. Rep. 287, 447 (1997).
- G.-C. Cho and K. Hagiwara, String unification scale and the hypercharge Kac-Moody level in the nonsupersymmetric standard model, Phys. Lett. B 419, 199 (1998).
- C. T. Hill, Are there significant gravitational corrections to the unification scale?, Phys. Lett. 135B, 47 (1984).
- Q. Shafi and C. Wetterich, Modification of GUT predictions in the presence of spontaneous compactification, Phys. Rev. Lett. 52, 875 (1984).
- C. Panagiotakopoulos and Q. Shafi, Dimension five interactions, fermion masses and Higgs mediated proton decay in , Phys. Rev. Lett. 52, 2336 (1984).
- L. J. Hall and U. Sarid, Gravitational smearing of minimal supersymmetric unification predictions, Phys. Rev. Lett. 70, 2673 (1993).
- H. Georgi and S. L. Glashow, Unity of all elementary particle forces, Phys. Rev. Lett. 32, 438 (1974).
- L. Di Luzio and L. Mihaila, Unification scale vs. electroweak-triplet mass in the model at three loops, Phys. Rev. D 87, 115025 (2013).
- N. Haba, K. Nagano, Y. Shimizu, and T. Yamada, Gauge coupling unification and proton decay via 45 Higgs boson in GUT, Prog. Theor. Exp. Phys. 2024, 053B05 (2024).
- X. Calmet, S. D. H. Hsu, and D. Reeb, Grand unification and enhanced quantum gravitational effects, Phys. Rev. Lett. 101, 171802 (2008).
- J. R. Bhatt, S. Patra, and U. Sarkar, Gravitational correction to gauge coupling unification, Mod. Phys. Lett. A 25, 283 (2010).
- J. Chakrabortty and A. Raychaudhuri, A note on dimension-5 operators in GUTs and their impact, Phys. Lett. B 673, 57 (2009).
- X. Calmet, S. D. H. Hsu, and D. Reeb, Grand unification through gravitational effects, Phys. Rev. D 81, 035007 (2010).
- S. Navas et al., Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- J.-S. Yoo, Y. Aoki, P. Boyle, T. Izubuchi, A. Soni, and S. Syritsyn, Proton decay matrix elements on the lattice at physical pion mass, Phys. Rev. D 105, 074501 (2022).
- J. Hisano, D. Kobayashi, and N. Nagata, Enhancement of proton decay rates in supersymmetric grand unified models, Phys. Lett. B 716, 406 (2012).
- A. Masiero, D. V. Nanopoulos, K. Tamvakis, and T. Yanagida, Naturally massless Higgs doublets in supersymmetric , Phys. Lett. 115B, 380 (1982).
- B. Grinstein, A supersymmetric gauge theory with no gauge hierarchy problem, Nucl. Phys. B206, 387 (1982).
- G. Altarelli, F. Feruglio, and I. Masina, From minimal to realistic supersymmetric grand unification, J. High Energy Phys. 11 (2000) 040.
- I. Masina, The problem of neutrino masses in extensions of the standard model, Int. J. Mod. Phys. A 16, 5101 (2001).
- T. Kugo and J. Sato, Dynamical symmetry breaking in an E(6) GUT model, Prog. Theor. Phys. 91, 1217 (1994).
- R. Kitano and N. Okada, Dynamical doublet—triplet Higgs mass splitting, Phys. Rev. D 64, 055010 (2001).
- R. Kitano, Dynamical GUT breaking and mu-term driven supersymmetry breaking, Phys. Rev. D 74, 115002 (2006).
- A. B. Lahanas and D. V. Nanopoulos, The road to no scale supergravity, Phys. Rep. 145, 1 (1987).
- S. Raby, S. Dimopoulos, and L. Susskind, Tumbling gauge theories, Nucl. Phys. B169, 373 (1980).
- S. Bolognesi, K. Konishi, and A. Luzio, Anomalies and phases of strongly coupled chiral gauge theories: Recent developments, Int. J. Mod. Phys. A 37, 2230014 (2022).
- Y. Bai and D. Stolarski, Phases of confining chiral gauge theory with three generations, J. High Energy Phys. 03 (2022) 113.
- M. A. Shifman, A. I. Vainshtein, M. B. Voloshin, and V. I. Zakharov, Low-energy theorems for Higgs boson couplings to photons, Sov. J. Nucl. Phys. 30, 711 (1979), https://inspirehep.net/literature/141287.