Abstract
We present a general formalism for analyzing supersymmetric models where the Higgs sector directly couples to the messengers of supersymmetry breaking. Such Higgs-messenger interactions are strongly motivated by the discovery of a Higgs boson near 125 GeV, but they also raise the specter of the μ/B μ and \( {A \left/ {{m_H^2}} \right.} \) problems. Using our formalism, we identify new avenues to solving these problems through strong dynamics in the messenger sector or hidden sector. Although our formalism is entirely general, we show how it reproduces familiar results in two simplifying limits: one where the hidden sector consists of a single spurion, and the other where it is approximately superconformal. In the latter limit, our formalism generalizes and clarifies the scenario of hidden sector sequestering, which we show can solve both the μ/B μ and \( {A \left/ {{m_H^2}} \right.} \) problems uniformly.
Similar content being viewed by others
References
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].
L.J. Hall, D. Pinner and J.T. Ruderman, A Natural SUSY Higgs Near 126 GeV, JHEP 04 (2012) 131 [arXiv:1112.2703] [INSPIRE].
S. Heinemeyer, O. Stal and G. Weiglein, Interpreting the LHC Higgs Search Results in the MSSM, Phys. Lett. B 710 (2012) 201 [arXiv:1112.3026] [INSPIRE].
A. Arbey, M. Battaglia, A. Djouadi, F. Mahmoudi and J. Quevillon, Implications of a 125 GeV Higgs for supersymmetric models, Phys. Lett. B 708 (2012) 162 [arXiv:1112.3028] [INSPIRE].
A. Arbey, M. Battaglia and F. Mahmoudi, Constraints on the MSSM from the Higgs Sector: A pMSSM Study of Higgs Searches, \( B_s^0\to {\mu^{+}}{\mu^{-}} \) and Dark Matter Direct Detection, Eur. Phys. J. C 72 (2012) 1906 [arXiv:1112.3032] [INSPIRE].
M. Carena, S. Gori, N.R. Shah and C.E. Wagner, A 125 GeV SM-like Higgs in the MSSM and the γγ rate, JHEP 03 (2012) 014 [arXiv:1112.3336] [INSPIRE].
P. Draper, P. Meade, M. Reece and D. Shih, Implications of a 125 GeV Higgs for the MSSM and Low-Scale SUSY Breaking, Phys. Rev. D 85 (2012) 095007 [arXiv:1112.3068] [INSPIRE].
J. Casas, J. Espinosa, M. Quirós and A. Riotto, The lightest Higgs boson mass in the minimal supersymmetric standard model, Nucl. Phys. B 436 (1995) 3 [Erratum ibid. B 439 (1995) 466-468] [hep-ph/9407389] [INSPIRE].
M.S. Carena, J. Espinosa, M. Quirós and C. Wagner, Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM, Phys. Lett. B 355 (1995) 209 [hep-ph/9504316] [INSPIRE].
H.E. Haber, R. Hempfling and A.H. Hoang, Approximating the radiatively corrected Higgs mass in the minimal supersymmetric model, Z. Phys. C 75 (1997) 539 [hep-ph/9609331] [INSPIRE].
F. Brummer, S. Kraml and S. Kulkarni, Anatomy of maximal stop mixing in the MSSM, JHEP 08 (2012) 089 [arXiv:1204.5977] [INSPIRE].
N. Craig, S. Knapen, D. Shih and Y. Zhao, A Complete Model of Low-Scale Gauge Mediation, JHEP 03 (2013) 154 [arXiv:1206.4086] [INSPIRE].
G.F. Giudice, H.D. Kim and R. Rattazzi, Natural μ and Bμ in gauge mediation, Phys. Lett. B 660 (2008) 545 [arXiv:0711.4448] [INSPIRE].
M. Dine and A.E. Nelson, Dynamical supersymmetry breaking at low-energies, Phys. Rev. D 48 (1993) 1277 [hep-ph/9303230] [INSPIRE].
M. Dine, A.E. Nelson and Y. Shirman, Low-energy dynamical supersymmetry breaking simplified, Phys. Rev. D 51 (1995) 1362 [hep-ph/9408384] [INSPIRE].
M. Dine, A.E. Nelson, Y. Nir and Y. Shirman, New tools for low-energy dynamical supersymmetry breaking, Phys. Rev. D 53 (1996) 2658 [hep-ph/9507378] [INSPIRE].
Z. Kang, T. Li, T. Liu, C. Tong and J.M. Yang, A Heavy SM-like Higgs and a Light Stop from Yukawa-Deflected Gauge Mediation, Phys. Rev. D 86 (2012) 095020 [arXiv:1203.2336] [INSPIRE].
P. Meade, N. Seiberg and D. Shih, General Gauge Mediation, Prog. Theor. Phys. Suppl. 177 (2009) 143 [arXiv:0801.3278] [INSPIRE].
M. Buican, P. Meade, N. Seiberg and D. Shih, Exploring General Gauge Mediation, JHEP 03 (2009) 016 [arXiv:0812.3668] [INSPIRE].
Z. Komargodski and N. Seiberg, μ and General Gauge Mediation, JHEP 03 (2009) 072 [arXiv:0812.3900] [INSPIRE].
T.T. Dumitrescu, Z. Komargodski, N. Seiberg and D. Shih, General Messenger Gauge Mediation, JHEP 05 (2010) 096 [arXiv:1003.2661] [INSPIRE].
M. Dine, P. Fox, E. Gorbatov, Y. Shadmi, Y. Shirman and S.D. Thomas, Visible effects of the hidden sector, Phys. Rev. D 70 (2004) 045023 [hep-ph/0405159] [INSPIRE].
H. Murayama, Y. Nomura and D. Poland, More visible effects of the hidden sector, Phys. Rev. D 77 (2008) 015005 [arXiv:0709.0775] [INSPIRE].
T.S. Roy and M. Schmaltz, Hidden solution to the μ/Bμ problem in gauge mediation, Phys. Rev. D 77 (2008) 095008 [arXiv:0708.3593] [INSPIRE].
G. Perez, T.S. Roy and M. Schmaltz, Phenomenology of SUSY with scalar sequestering, Phys. Rev. D 79 (2009) 095016 [arXiv:0811.3206] [INSPIRE].
N.J. Craig and D. Green, On the Phenomenology of Strongly Coupled Hidden Sectors, JHEP 09 (2009) 113 [arXiv:0905.4088] [INSPIRE].
M. Asano, J. Hisano, T. Okada and S. Sugiyama, A Realistic Extension of Gauge-Mediated SUSY-Breaking Model with Superconformal Hidden Sector, Phys. Lett. B 673 (2009) 146 [arXiv:0810.4606] [INSPIRE].
D. Poland, D. Simmons-Duffin and A. Vichi, Carving Out the Space of 4D CFTs, JHEP 05 (2012) 110 [arXiv:1109.5176] [INSPIRE].
G. Giudice and R. Rattazzi, Extracting supersymmetry breaking effects from wave function renormalization, Nucl. Phys. B 511 (1998) 25 [hep-ph/9706540] [INSPIRE].
A. Delgado, G. Giudice and P. Slavich, Dynamical μ term in gauge mediation, Phys. Lett. B 653 (2007) 424 [arXiv:0706.3873] [INSPIRE].
S. Knapen and D. Shih, Mixing the stops with strong hidden sector dynamics, to appear.
D. Green and D. Shih, Bounds on SCFTs from Conformal Perturbation Theory, JHEP 09 (2012) 026 [arXiv:1203.5129] [INSPIRE].
L.M. Carpenter, M. Dine, G. Festuccia and J.D. Mason, Implementing General Gauge Mediation, Phys. Rev. D 79 (2009) 035002 [arXiv:0805.2944] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1302.2642
Rights and permissions
About this article
Cite this article
Craig, N., Knapen, S. & Shih, D. General messenger Higgs mediation. J. High Energ. Phys. 2013, 118 (2013). https://doi.org/10.1007/JHEP08(2013)118
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2013)118