Abstract
We compute the renormalization of dimension six Higgs-gauge boson operators that can modify the h → γγ rate at tree-level. Operator mixing is shown to lead to an important modification of new physics effects which has been neglected in past calculations. We also find that the usual formula for the S oblique parameter contribution of these Higgs-gauge boson operators needs additional terms to be consistent with renormalization group evolution. We study the implications of our results for Higgs phenomenology and for new physics models which attempt to explain a deviation in the h → γγ rate. We derive a new relation between the S parameter and the h → γγ and h → Zγ decay rates.
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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].
B. Grinstein and M.B. Wise, Operator analysis for precision electroweak physics, Phys. Lett. B 265 (1991) 326 [INSPIRE].
K. Hagiwara, S. Ishihara, R. Szalapski and D. Zeppenfeld, Low-energy effects of new interactions in the electroweak boson sector, Phys. Rev. D 48 (1993) 2182 [INSPIRE].
K. Hagiwara, R. Szalapski and D. Zeppenfeld, Anomalous Higgs boson production and decay, Phys. Lett. B 318 (1993) 155 [hep-ph/9308347] [INSPIRE].
S. Alam, S. Dawson and R. Szalapski, Low-energy constraints on new physics revisited, Phys. Rev. D 57 (1998) 1577 [hep-ph/9706542] [INSPIRE].
Z. Han and W. Skiba, Effective theory analysis of precision electroweak data, Phys. Rev. D 71 (2005) 075009 [hep-ph/0412166] [INSPIRE].
W. Buchmüller and D. Wyler, Effective Lagrangian Analysis of New Interactions and Flavor Conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].
B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884] [INSPIRE].
A.V. Manohar and M.B. Wise, Modifications to the properties of the Higgs boson, Phys. Lett. B 636 (2006) 107 [hep-ph/0601212] [INSPIRE].
A.V. Manohar and M.B. Wise, Flavor changing neutral currents, an extended scalar sector and the Higgs production rate at the CERN LHC, Phys. Rev. D 74 (2006) 035009 [hep-ph/0606172] [INSPIRE].
A. Manohar and H. Georgi, Chiral Quarks and the Nonrelativistic Quark Model, Nucl. Phys. B 234 (1984) 189 [INSPIRE].
G. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
C. Grojean, W. Skiba and J. Terning, Disguising the oblique parameters, Phys. Rev. D 73 (2006) 075008 [hep-ph/0602154] [INSPIRE].
C. Arzt, M. Einhorn and J. Wudka, Patterns of deviation from the standard model, Nucl. Phys. B 433 (1995) 41 [hep-ph/9405214] [INSPIRE].
L. Abbott, Introduction to the Background Field Method, Acta Phys. Polon. B 13 (1982) 33 [INSPIRE].
G. Passarino, NLO Inspired Effective Lagrangians for Higgs Physics, Nucl. Phys. B 868 (2013) 416 [arXiv:1209.5538] [INSPIRE].
S.L. Adler, Einstein Gravity as a Symmetry Breaking Effect in Quantum Field Theory, Rev. Mod. Phys. 54 (1982) 729 [Erratum ibid. 55 (1983) 837] [INSPIRE].
D.B. Kaplan and A. Manohar, Strange Matrix Elements in the Proton from Neutral Current Experiments, Nucl. Phys. B 310 (1988) 527 [INSPIRE].
R. Barbieri, B. Bellazzini, V.S. Rychkov and A. Varagnolo, The Higgs boson from an extended symmetry, Phys. Rev. D 76 (2007) 115008 [arXiv:0706.0432] [INSPIRE].
J. Espinosa, C. Grojean, M. Muhlleitner and M. Trott, Fingerprinting Higgs Suspects at the LHC, JHEP 05 (2012) 097 [arXiv:1202.3697] [INSPIRE].
A. Orgogozo and S. Rychkov, The S parameter for a Light Composite Higgs: a Dispersion Relation Approach, arXiv:1211.5543 [INSPIRE].
A. Pich, I. Rosell and J.J. Sanz-Cillero, Viability of strongly-coupled scenarios with a light Higgs-like boson, arXiv:1212.6769 [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The Minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
J. Espinosa, C. Grojean, M. Muhlleitner and M. Trott, First Glimpses at Higgs’ face, JHEP 12 (2012) 045 [arXiv:1207.1717] [INSPIRE].
ATLAS collaboration, Observation and study of the Higgs boson candidate in the two photon decay channel with the ATLAS detector at the LHC, ATLAS-CONF-2012-168 (2012).
CMS collaboration, Evidence for a new state decaying into two photons in the search for the standard model Higgs boson in pp collisions, CMS-PAS-HIG-12-015 (1460419).
N. Arkani-Hamed, K. Blum, R.T. D’Agnolo and J. Fan, 2:1 for Naturalness at the LHC?, JHEP 01 (2013) 149 [arXiv:1207.4482] [INSPIRE].
M. Reece, Vacuum Instabilities with a Wrong-Sign Higgs-Gluon-Gluon Amplitude, arXiv:1208.1765 [INSPIRE].
E. Masso and V. Sanz, Limits on Anomalous Couplings of the Higgs to Electroweak Gauge Bosons from LEP and LHC, arXiv:1211.1320 [INSPIRE].
T. Corbett, O. Eboli, J. Gonzalez-Fraile and M. Gonzalez-Garcia, Robust Determination of the Higgs Couplings: power to the Data, Phys. Rev. D 87 (2013) 015022 [arXiv:1211.4580] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization, Nucl. Phys. B 222 (1983) 83 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings, Nucl. Phys. B 236 (1984) 221 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings, Nucl. Phys. B 249 (1985) 70 [INSPIRE].
H. Arason et al., Renormalization group study of the standard model and its extensions. 1. The Standard model, Phys. Rev. D 46 (1992) 3945 [INSPIRE].
L. Bergstrom and G. Hulth, Induced Higgs couplings to neutral bosons in e + e − collisions, Nucl. Phys. B 259 (1985) 137 [Erratum ibid. B 276 (1986) 744] [INSPIRE].
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ArXiv ePrint: 1301.2588
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Grojean, C., Jenkins, E.E., Manohar, A.V. et al. Renormalization group scaling of Higgs operators and h → γγ decay. J. High Energ. Phys. 2013, 16 (2013). https://doi.org/10.1007/JHEP04(2013)016
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DOI: https://doi.org/10.1007/JHEP04(2013)016