Abstract
When supergravity (SUGRA) is spontaneously broken, it is well known that anomaly mediation generates sparticle soft masses proportional to the gravitino mass. Recently, we showed that one-loop anomaly-mediated gaugino masses should be associated with unbroken supersymmetry (SUSY). This counterintuitive result arises because the underlying symmetry structure of (broken) SUGRA in flat space is in fact (unbroken) SUSY in anti-de Sitter (AdS) space. When quantum corrections are regulated in a way that preserves SUGRA, the underlying AdS curvature (proportional to the gravitino mass) necessarily appears in the regulated action, yielding soft masses without corresponding goldstino couplings. In this paper, we extend our analysis of anomaly mediation to sfermion soft masses. Already at tree-level we encounter a number of surprises, including the fact that zero soft masses correspond to broken (AdS) SUSY. At one-loop, we explain how anomaly mediation appears when regulating SUGRA in a way that preserves super-Weyl invariance. We find that recent claims in the literature about the non-existence of anomaly mediation were based on a Wilsonian effective action with residual gauge dependence, and the gauge-invariant 1PI effective action contains the expected anomaly-mediated spectrum. Finally, we calculate the sfermion spectrum to all orders, and use supertrace relations to derive the familiar two-loop soft masses from minimal anomaly mediation, as well as unfamiliar tree-level and one-loop goldstino couplings consistent with renormalization group invariance.
Similar content being viewed by others
References
L. Randall and R. Sundrum, Out of this world supersymmetry breaking, Nucl. Phys.B 557 (1999) 79 [hep-th/9810155] [INSPIRE].
G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets, JHEP12 (1998) 027 [hep-ph/9810442] [INSPIRE].
F. D’Eramo, J. Thaler and Z. Thomas, The two faces of anomaly mediation, JHEP06 (2012) 151 [arXiv:1202.1280] [INSPIRE].
J.P. Conlon, M. Goodsell and E. Palti, Anomaly mediation in superstring theory, Fortsch. Phys.59 (2011) 5 [arXiv:1008.4361] [INSPIRE].
Z. Chacko, M.A. Luty, I. Maksymyk and E. Ponton, Realistic anomaly mediated supersymmetry breaking, JHEP04 (2000) 001 [hep-ph/9905390] [INSPIRE].
J.A. Bagger, T. Moroi and E. Poppitz, Anomaly mediation in supergravity theories, JHEP04 (2000) 009 [hep-th/9911029] [INSPIRE].
J.A. Bagger, T. Moroi and E. Poppitz, Quantum inconsistency of Einstein supergravity, Nucl. Phys.B 594 (2001) 354 [hep-th/0003282] [INSPIRE].
M. Dine and N. Seiberg, Comments on quantum effects in supergravity theories, JHEP03 (2007) 040 [hep-th/0701023] [INSPIRE].
B. Gripaios, H.D. Kim, R. Rattazzi, M. Redi and C. Scrucca, Gaugino mass in AdS space, JHEP02 (2009) 043 [arXiv:0811.4504] [INSPIRE].
D.-W. Jung and J.Y. Lee, Anomaly-mediated supersymmetry breaking demystified, JHEP03 (2009) 123 [arXiv:0902.0464] [INSPIRE].
D. Sanford and Y. Shirman, Anomaly Mediation from Randall-Sundrum to Dine-Seiberg, Phys. Rev.D 83 (2011) 125020 [arXiv:1012.1860] [INSPIRE].
S. de Alwis, On anomaly mediated SUSY breaking, Phys. Rev.D 77 (2008) 105020 [arXiv:0801.0578] [INSPIRE].
S. de Alwis, AMSB and the logic of spontaneous SUSY breaking, JHEP01 (2013) 006 [arXiv:1206.6775] [INSPIRE].
V. Kaplunovsky and J. Louis, Field dependent gauge couplings in locally supersymmetric effective quantum field theories, Nucl. Phys.B 422 (1994) 57 [hep-th/9402005] [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Annals Phys.144 (1982) 249 [INSPIRE].
G. Giudice and A. Masiero, A natural solution to the mu problem in supergravity theories, Phys. Lett.B 206 (1988) 480 [INSPIRE].
N. Arkani-Hamed, G.F. Giudice, M.A. Luty and R. Rattazzi, Supersymmetry breaking loops from analytic continuation into superspace, Phys. Rev.D 58 (1998) 115005 [hep-ph/9803290] [INSPIRE].
I. Jack, D. Jones and A. Pickering, Renormalization invariance and the soft β-functions, Phys. Lett.B 426 (1998) 73 [hep-ph/9712542] [INSPIRE].
I. Jack and D. Jones, RG invariant solutions for the soft supersymmetry breaking parameters, Phys. Lett.B 465 (1999) 148 [hep-ph/9907255] [INSPIRE].
A. Pomarol and R. Rattazzi, Sparticle masses from the superconformal anomaly, JHEP05 (1999) 013 [hep-ph/9903448] [INSPIRE].
H. Nicolai, Representations of supersymmetry in anti-de Sitter space, CERN-TH-3882.
D. Bertolini, J. Thaler and Z. Thomas, TASI 2012: Super-Tricks for Superspace, arXiv:1302.6229 [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
A. Adams, H. Jockers, V. Kumar and J.M. Lapan, N = 1 σ-models in AdS4, JHEP12 (2011) 042 [arXiv:1104.3155] [INSPIRE].
G. Festuccia and N. Seiberg, Rigid supersymmetric theories in curved superspace, JHEP06 (2011) 114 [arXiv:1105.0689] [INSPIRE].
C. Cheung, Y. Nomura and J. Thaler, Goldstini, JHEP03 (2010) 073 [arXiv:1002.1967] [INSPIRE].
C. Cheung, F. D’Eramo and J. Thaler, The spectrum of goldstini and modulini, JHEP08 (2011) 115 [arXiv:1104.2600] [INSPIRE].
K. Izawa, Y. Nakai and T. Shimomura, Higgs portal to visible supersymmetry breaking, JHEP03 (2011) 007 [arXiv:1101.4633] [INSPIRE].
D. Bertolini, K. Rehermann and J. Thaler, Visible supersymmetry breaking and an invisible Higgs, JHEP04 (2012) 130 [arXiv:1111.0628] [INSPIRE].
M.A. Luty and R. Sundrum, Supersymmetry breaking and composite extra dimensions, Phys. Rev.D 65 (2002) 066004 [hep-th/0105137] [INSPIRE].
M. Luty and R. Sundrum, Anomaly mediated supersymmetry breaking in four-dimensions, naturally, Phys. Rev.D 67 (2003) 045007 [hep-th/0111231] [INSPIRE].
M. Schmaltz and R. Sundrum, Conformal sequestering simplified, JHEP11 (2006) 011 [hep-th/0608051] [INSPIRE].
M. Roček, Linearizing the Volkov-Akulov model, Phys. Rev. Lett.41 (1978) 451 [INSPIRE].
U. Lindström and M. Roček, Constrained local superfields, Phys. Rev.D 19 (1979) 2300 [INSPIRE].
Z. Komargodski and N. Seiberg, From linear SUSY to constrained superfields, JHEP09 (2009) 066 [arXiv:0907.2441] [INSPIRE].
M.K. Gaillard and V. Jain, Supergravity coupled to chiral matter at one loop, Phys. Rev.D 49 (1994) 1951 [hep-th/9308090] [INSPIRE].
M.K. Gaillard, V. Jain and K. Saririan, Supergravity at one loop. 2: Chiral and Yang-Mills matter, Phys. Rev.D 55 (1997) 883 [hep-th/9606052] [INSPIRE].
W. Siegel and S.J. Gates Jr., Superfield supergravity, Nucl. Phys.B 147 (1979) 77 [INSPIRE].
T. Kugo and S. Uehara, Conformal and Poincaré Tensor Calculi in N = 1 Supergravity, Nucl. Phys.B 226 (1983) 49 [INSPIRE].
S. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace or one thousand and one lessons in supersymmetry, Front. Phys.58 (1983) 1 [hep-th/0108200] [INSPIRE].
P.S. Howe and R. Tucker, Scale invariance in superspace, Phys. Lett.B 80 (1978) 138 [INSPIRE].
B.J. Warr, Renormalization of gauge theories using effective Lagrangians. 1., Annals Phys.183 (1988) 1 [INSPIRE].
B.J. Warr, Renormalization of gauge theories using effective Lagrangians. 2., Annals Phys.183 (1988) 59 [INSPIRE].
K. Konishi, Anomalous supersymmetry transformation of some composite operators in SQCD, Phys. Lett.B 135 (1984) 439 [INSPIRE].
T. Clark, O. Piguet and K. Sibold, The Absence of Radiative Corrections to the Axial Current Anomaly in Supersymmetric QED, Nucl. Phys.B 159 (1979) 1 [INSPIRE].
M.K. Gaillard, Pauli-Villars regularization of globally supersymmetric theories, Phys. Lett.B 347 (1995) 284 [hep-th/9412125] [INSPIRE].
C. Cheung, F. D’Eramo and J. Thaler, Supergravity computations without gravity complications, Phys. Rev.D 84 (2011) 085012 [arXiv:1104.2598] [INSPIRE].
D. Baumann and D. Green, Supergravity for effective theories, JHEP03 (2012) 001 [arXiv:1109.0293] [INSPIRE].
B. de Wit and I. Herger, Anti-de Sitter supersymmetry, Lect. Notes Phys.541 (2000) 79 [hep-th/9908005] [INSPIRE].
B. Keck, An alternative class of supersymmetries, J. Phys.A 8 (1975) 1819 [INSPIRE].
B. Zumino, Nonlinear realization of supersymmetry in de Sitter space, Nucl. Phys.B 127 (1977) 189 [INSPIRE].
E. Ivanov and A.S. Sorin, Superfield formulation of OSP(1, 4) supersymmetry, J. Phys.A 13 (1980) 1159 [INSPIRE].
A. Lahanas and D.V. Nanopoulos, The road to no scale supergravity, Phys. Rept.145 (1987) 1 [INSPIRE].
M.A. Luty and N. Okada, Almost no scale supergravity, JHEP04 (2003) 050 [hep-th/0209178] [INSPIRE].
M. Kaku, P. Townsend and P. van Nieuwenhuizen, Gauge theory of the conformal and superconformal group, Phys. Lett.B 69 (1977) 304 [INSPIRE].
M. Kaku and P. Townsend, Poincaré supergravity as broken superconformal gravity, Phys. Lett.B 76 (1978) 54 [INSPIRE].
M. Kaku, P. Townsend and P. van Nieuwenhuizen, Properties of conformal supergravity, Phys. Rev.D 17 (1978) 3179 [INSPIRE].
P. Townsend and P. van Nieuwenhuizen, Simplifications of Conformal Supergravity, Phys. Rev.D 19 (1979) 3166 [INSPIRE].
T. Kugo and S. Uehara, Improved Superconformal Gauge Conditions in the N = 1 Supergravity Yang-Mills Matter System, Nucl. Phys.B 222 (1983) 125 [INSPIRE].
H.K. Dreiner, H.E. Haber and S.P. Martin, Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry, Phys. Rept.494 (2010) 1 [arXiv:0812.1594] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1307.3251
Rights and permissions
About this article
Cite this article
D’Eramo, F., Thaler, J. & Thomas, Z. Anomaly mediation from unbroken supergravity. J. High Energ. Phys. 2013, 125 (2013). https://doi.org/10.1007/JHEP09(2013)125
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2013)125