Abstract
Measurements of the Higgs-boson production cross section at the LHC are an important tool for studying electroweak symmetry breaking at the quantum level, since the main production mechanism gg → h is loop-suppressed in the Standard Model (SM). Higgs production in extra-dimensional extensions of the SM is sensitive to the Kaluza-Klein (KK) excitations of the quarks, which can be exchanged as virtual particles in the loop. In the context of the minimal Randall-Sundrum (RS) model with bulk fields and a brane-localized Higgs sector, we derive closed analytical expressions for the gluon-gluon fusion process, finding that the effect of the infinite tower of virtual KK states can be described in terms of a simple function of the fundamental (5D) Yukawa matrices. Given a specific RS model, this will allow one to easily constrain the parameter space, once a Higgs signal has been established. We explain that discrepancies between existing calculations of Higgs production in RS models are related to the non-commutativity of two limits: taking the number of KK states to infinity and removing the regulator on the Higgs-boson profile, which is required in an intermediate step to make the relevant overlap integrals well defined. Even though the one-loop gg → h amplitude is finite in RS scenarios with a brane-localized Higgs sector, it is important to introduce a consistent ultraviolet regulator in order to obtain the correct result.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
Y. Grossman and M. Neubert, Neutrino masses and mixings in non-factorizable geometry, Phys. Lett. B 474 (2000) 361 [hep-ph/9912408] [INSPIRE].
T. Gherghetta and A. Pomarol, Bulk fields and supersymmetry in a slice of AdS, Nucl. Phys. B 586 (2000) 141 [hep-ph/0003129] [INSPIRE].
S.J. Huber and Q. Shafi, Fermion masses, mixings and proton decay in a Randall-Sundrum model, Phys. Lett. B 498 (2001) 256 [hep-ph/0010195] [INSPIRE].
K. Agashe, G. Perez and A. Soni, B-factory signals for a warped extra dimension, Phys. Rev. Lett. 93 (2004) 201804 [hep-ph/0406101] [INSPIRE].
K. Agashe, G. Perez and A. Soni, Flavor structure of warped extra dimension models, Phys. Rev. D 71 (2005) 016002 [hep-ph/0408134] [INSPIRE].
H. Davoudiasl, J. Hewett and T. Rizzo, Brane localized kinetic terms in the Randall-Sundrum model, Phys. Rev. D 68 (2003) 045002 [hep-ph/0212279] [INSPIRE].
M.S. Carena, E. Ponton, T.M. Tait and C. Wagner, Opaque branes in warped backgrounds, Phys. Rev. D 67 (2003) 096006 [hep-ph/0212307] [INSPIRE].
K. Agashe, A. Delgado, M.J. May and R. Sundrum, RS1, custodial isospin and precision tests, JHEP 08 (2003) 050 [hep-ph/0308036] [INSPIRE].
K. Agashe, R. Contino, L. Da Rold and A. Pomarol, A custodial symmetry for \( Zb\overline b \), Phys. Lett. B 641 (2006) 62 [hep-ph/0605341] [INSPIRE].
M. Bauer, R. Malm and M. Neubert, A solution to the flavor problem of warped extra-dimension models, Phys. Rev. Lett. 108 (2012) 081603 [arXiv:1110.0471] [INSPIRE].
R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudo-goldstone boson, Nucl. Phys. B 671 (2003) 148 [hep-ph/0306259] [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
S. Casagrande, F. Goertz, U. Haisch, M. Neubert and T. Pfoh, The custodial Randall-Sundrum model: from precision tests to Higgs physics, JHEP 09 (2010) 014 [arXiv:1005.4315] [INSPIRE].
A. Azatov, M. Toharia and L. Zhu, Higgs production from gluon fusion in warped extra dimensions, Phys. Rev. D 82 (2010) 056004 [arXiv:1006.5939] [INSPIRE].
H. Davoudiasl, J. Hewett and T. Rizzo, Bulk gauge fields in the Randall-Sundrum model, Phys. Lett. B 473 (2000) 43 [hep-ph/9911262] [INSPIRE].
S.J. Huber, Flavor violation and warped geometry, Nucl. Phys. B 666 (2003) 269 [hep-ph/0303183] [INSPIRE].
C. Csáki, A. Falkowski and A. Weiler, The flavor of the composite pseudo-Goldstone Higgs, JHEP 09 (2008) 008 [arXiv:0804.1954] [INSPIRE].
S. Casagrande, F. Goertz, U. Haisch, M. Neubert and T. Pfoh, Flavor physics in the Randall-Sundrum model: I. Theoretical setup and electroweak precision tests, JHEP 10 (2008) 094 [arXiv:0807.4937] [INSPIRE].
M. Blanke, A.J. Buras, B. Duling, S. Gori and A. Weiler, ΔF = 2 observables and fine-tuning in a warped extra dimension with custodial protection, JHEP 03 (2009) 001 [arXiv:0809.1073] [INSPIRE].
A. Azatov, M. Toharia and L. Zhu, Higgs mediated FCNCS in warped extra dimensions, Phys. Rev. D 80 (2009) 035016 [arXiv:0906.1990] [INSPIRE].
C. Bouchart and G. Moreau, Higgs boson phenomenology and VEV shift in the RS scenario, Phys. Rev. D 80 (2009) 095022 [arXiv:0909.4812] [INSPIRE].
M. Beneke and M. Neubert, Flavor singlet B decay amplitudes in QCD factorization, Nucl. Phys. B 651 (2003) 225 [hep-ph/0210085] [INSPIRE].
A. Djouadi, The anatomy of electro-weak symmetry breaking. II. The Higgs bosons in the minimal supersymmetric model, Phys. Rept. 459 (2008) 1 [hep-ph/0503173] [INSPIRE].
F. Goertz, U. Haisch and M. Neubert, Bounds on warped extra dimensions from a standard model-like Higgs boson, Phys. Lett. B 713 (2012) 23 [arXiv:1112.5099] [INSPIRE].
T. Inami, T. Kubota and Y. Okada, Effective gauge theory and the effect of heavy quarks in Higgs boson decays, Z. Phys. C 18 (1983) 69 [INSPIRE].
V. Ahrens, T. Becher, M. Neubert and L.L. Yang, Renormalization-group improved prediction for Higgs production at hadron colliders, Eur. Phys. J. C 62 (2009) 333 [arXiv:0809.4283] [INSPIRE].
M. Puchwein and Z. Kunszt, Radiative corrections with 5D mixed position/momentum space propagators, Annals Phys. 311 (2004) 288 [hep-th/0309069] [INSPIRE].
M.S. Carena, A. Delgado, E. Ponton, T.M. Tait and C. Wagner, Warped fermions and precision tests, Phys. Rev. D 71 (2005) 015010 [hep-ph/0410344] [INSPIRE].
A. Falkowski, Pseudo-goldstone Higgs production via gluon fusion, Phys. Rev. D 77 (2008) 055018 [arXiv:0711.0828] [INSPIRE].
L. Randall and M.D. Schwartz, Quantum field theory and unification in AdS5, JHEP 11 (2001) 003 [hep-th/0108114] [INSPIRE].
A. Pomarol, Grand unified theories without the desert, Phys. Rev. Lett. 85 (2000) 4004 [hep-ph/0005293] [INSPIRE].
K.-w. Choi, H.D. Kim and I.-W. Kim, Gauge coupling renormalization in orbifold field theories, JHEP 11 (2002) 033 [hep-ph/0202257] [INSPIRE].
W.D. Goldberger and I.Z. Rothstein, High-energy field theory in truncated AdS backgrounds, Phys. Rev. Lett. 89 (2002) 131601 [hep-th/0204160] [INSPIRE].
K. Agashe, A. Delgado and R. Sundrum, Gauge coupling renormalization in RS1, Nucl. Phys. B 643 (2002) 172 [hep-ph/0206099] [INSPIRE].
F.J. Petriello, Kaluza-Klein effects on Higgs physics in universal extra dimensions, JHEP 05 (2002) 003 [hep-ph/0204067] [INSPIRE].
A. Azatov and J. Galloway, Light custodians and Higgs physics in composite models, Phys. Rev. D 85 (2012) 055013 [arXiv:1110.5646] [INSPIRE].
K. Agashe, A. Azatov and L. Zhu, Flavor violation tests of warped/composite SM in the two-site approach, Phys. Rev. D 79 (2009) 056006 [arXiv:0810.1016] [INSPIRE].
M.S. Carena, A. Delgado, E. Ponton, T.M. Tait and C. Wagner, Precision electroweak data and unification of couplings in warped extra dimensions, Phys. Rev. D 68 (2003) 035010 [hep-ph/0305188] [INSPIRE].
H. Davoudiasl, G. Perez and A. Soni, The little Randall-Sundrum model at the Large Hadron Collider, Phys. Lett. B 665 (2008) 67 [arXiv:0802.0203] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Carena, M., Casagrande, S., Goertz, F. et al. Higgs production in a warped extra dimension. J. High Energ. Phys. 2012, 156 (2012). https://doi.org/10.1007/JHEP08(2012)156
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2012)156