Abstract
New particles entering into self-energies of the Higgs boson would necessarily modify loop-induced couplings of the Higgs, if the new particle carries standard model gauge quantum numbers. For a 1 TeV new particle, deviations in these “Higgs oblique corrections” are generically of the order of v 2 /(1 TeV)2 ~ 5%. We study constraints on masses and couplings of new scalars and fermions that can be derived from 5-10% deviations in the Higgs digluon and diphoton partial widths. To reduce theoretical uncertainties, we present next-to-leading order QCD corrections to the Higgs-to-digluon coupling for scalars and fermions in arbitrary representations of SU(3) c color group, by applying the low-energy Higgs theorems at two-loop order. As a by-product we provide a new value for NLO QCD corrections to the top squark contributions to digluon decays that differs from existing literature. We also emphasize that precise measurements of Higgs couplings to W boson and top quark are prerequisite to precise determinations of Higgs oblique corrections from new particles.
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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].
ALEPH, DELPHI, L3, OPAL, SLD, LEP Electroweak Working Group, SLD Electroweak Group and SLD Heavy Flavour Group collaborations, S. Schael et al., Precision electroweak measurements on the Z resonance, Phys. Rept. 427 (2006) 257 [hep-ex/0509008] [INSPIRE].
ALEPH, CDF, D0, DELPHI, L3, OPAL, SLD, LEP Electroweak Working Group, Tevatron Electroweak Working Group and SLD Electroweak Working Group and Heavy Flavour Group collaborations, Precision electroweak measurements and constraints on the Standard Model, arXiv:0811.4682 [INSPIRE].
ALEPH, CDF, D0, DELPHI, L3, OPAL and SLD collaborations, J. Alcaraz, Precision electroweak measurements and constraints on the Standard Model, arXiv:0911.2604 [INSPIRE].
ALEPH, CDF, D0, DELPHI, L3, OPAL, SLD, LEP Electroweak Working Group, Tevatron Electroweak Working Group and SLD Electroweak and Heavy Flavour Groups collaborations, Precision electroweak measurements and constraints on the Standard Model, arXiv:1012.2367 [INSPIRE].
D. Kennedy and P. Langacker, Precision electroweak experiments and heavy physics: a global analysis, Phys. Rev. Lett. 65 (1990) 2967 [Erratum ibid. 66 (1991) 395] [INSPIRE].
G. Altarelli and R. Barbieri, Vacuum polarization effects of new physics on electroweak processes, Phys. Lett. B 253 (1991) 161 [INSPIRE].
P. Langacker and M.-X. Luo, Implications of precision electroweak experiments for M t , ρ 0 , sin2 θ W and grand unification, Phys. Rev. D 44 (1991) 817 [INSPIRE].
M. Golden and L. Randall, Radiative corrections to electroweak parameters in technicolor theories, Nucl. Phys. B 361 (1991) 3 [INSPIRE].
B. Grinstein and M.B. Wise, Operator analysis for precision electroweak physics, Phys. Lett. B 265 (1991) 326 [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
Z. Han and W. Skiba, Effective theory analysis of precision electroweak data, Phys. Rev. D 71 (2005) 075009 [hep-ph/0412166] [INSPIRE].
A. Strumia, Bounds on Kaluza-Klein excitations of the SM vector bosons from electroweak tests, Phys. Lett. B 466 (1999) 107 [hep-ph/9906266] [INSPIRE].
R. Barbieri, A. Pomarol, R. Rattazzi and A. Strumia, Electroweak symmetry breaking after LEP-1 and LEP-2, Nucl. Phys. B 703 (2004) 127 [hep-ph/0405040] [INSPIRE].
R. Barbieri and A. Strumia, What is the limit on the Higgs mass?, Phys. Lett. B 462 (1999) 144 [hep-ph/9905281] [INSPIRE].
Z. Han and W. Skiba, Effective theory analysis of precision electroweak data, Phys. Rev. D 71 (2005) 075009 [hep-ph/0412166] [INSPIRE].
H.-C. Cheng and I. Low, TeV symmetry and the little hierarchy problem, JHEP 09 (2003) 051 [hep-ph/0308199] [INSPIRE].
I. Low, R. Rattazzi and A. Vichi, Theoretical constraints on the Higgs effective couplings, JHEP 04 (2010) 126 [arXiv:0907.5413] [INSPIRE].
J.R. Ellis, M.K. Gaillard and D.V. Nanopoulos, A phenomenological profile of the Higgs boson, Nucl. Phys. B 106 (1976) 292 [INSPIRE].
M.A. Shifman, A. Vainshtein, M. Voloshin and V.I. Zakharov, Low-energy theorems for Higgs boson couplings to photons, Sov. J. Nucl. Phys. 30 (1979) 711 [Yad. Fiz. 30 (1979) 1368] [INSPIRE].
N. Maru and N. Okada, Gauge-Higgs unification at LHC, Phys. Rev. D 77 (2008) 055010 [arXiv:0711.2589] [INSPIRE].
F. Bonnet, M. Gavela, T. Ota and W. Winter, Anomalous Higgs couplings at the LHC and their theoretical interpretation, Phys. Rev. D 85 (2012) 035016 [arXiv:1105.5140] [INSPIRE].
B. Batell, S. Gori and L.-T. Wang, Exploring the Higgs portal with 10 fb−1 at the LHC, JHEP 06 (2012) 172 [arXiv:1112.5180] [INSPIRE].
B.A. Dobrescu, G.D. Kribs and A. Martin, Higgs underproduction at the LHC, Phys. Rev. D 85 (2012) 074031 [arXiv:1112.2208] [INSPIRE].
A. Arvanitaki and G. Villadoro, A non Standard Model Higgs at the LHC as a sign of naturalness, JHEP 02 (2012) 144 [arXiv:1112.4835] [INSPIRE].
D. Carmi, A. Falkowski, E. Kuflik and T. Volansky, Interpreting LHC Higgs results from natural new physics perspective, JHEP 07 (2012) 136 [arXiv:1202.3144] [INSPIRE].
K. Kumar, R. Vega-Morales and F. Yu, Effects from new colored states and the Higgs portal on gluon fusion and Higgs decays, Phys. Rev. D 86 (2012) 113002 [arXiv:1205.4244] [INSPIRE].
S. Dawson and E. Furlan, A Higgs conundrum with vector fermions, Phys. Rev. D 86 (2012) 015021 [arXiv:1205.4733] [INSPIRE].
R.S. Gupta, H. Rzehak and J.D. Wells, How well do we need to measure Higgs boson couplings?, Phys. Rev. D 86 (2012) 095001 [arXiv:1206.3560] [INSPIRE].
A. Joglekar, P. Schwaller and C.E. Wagner, Dark matter and enhanced Higgs to di-photon rate from vector-like leptons, JHEP 12 (2012) 064 [arXiv:1207.4235] [INSPIRE].
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].
F. Bonnet, T. Ota, M. Rauch and W. Winter, Interpretation of precision tests in the Higgs sector in terms of physics beyond the Standard Model, Phys. Rev. D 86 (2012) 093014 [arXiv:1207.4599] [INSPIRE].
A. Djouadi, Precision Higgs coupling measurements at the LHC through ratios of production cross sections, Eur. Phys. J. C 73 (2013) 2498 [arXiv:1208.3436] [INSPIRE].
L. Wang and X.-F. Han, 130 GeV gamma-ray line and enhancement of h → γγ in the Higgs triplet model plus a scalar dark matter, Phys. Rev. D 87 (2013) 015015 [arXiv:1209.0376] [INSPIRE].
G. Passarino, NLO inspired effective Lagrangians for Higgs physics, Nucl. Phys. B 868 (2013) 416 [arXiv:1209.5538] [INSPIRE].
S. Dawson, E. Furlan and I. Lewis, Unravelling an extended quark sector through multiple Higgs production?, Phys. Rev. D 87 (2013) 014007 [arXiv:1210.6663] [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].
J. Reuter and M. Tonini, Can the 125 GeV Higgs be the little Higgs?, JHEP 02 (2013) 077 [arXiv:1212.5930] [INSPIRE].
X.-F. Han, L. Wang, J.M. Yang and J. Zhu, Little Higgs theory confronted with the LHC Higgs data, Phys. Rev. D 87 (2013) 055004 [arXiv:1301.0090] [INSPIRE].
C. Cheung, S.D. McDermott and K.M. Zurek, Inspecting the Higgs for new weakly interacting particles, JHEP 04 (2013) 074 [arXiv:1302.0314] [INSPIRE].
K. Cheung, J.S. Lee and P.-Y. Tseng, Higgs precision (Higgcision) era begins, JHEP 05 (2013) 134 [arXiv:1302.3794] [INSPIRE].
W.-F. Chang, W.-P. Pan and F. Xu, An effective gauge-Higgs operators analysis of new physics associated with the Higgs, Phys. Rev. D 88 (2013) 033004 [arXiv:1303.7035] [INSPIRE].
C. Englert and M. McCullough, Modified Higgs sectors and NLO associated production, JHEP 07 (2013) 168 [arXiv:1303.1526] [INSPIRE].
A. Joglekar, P. Schwaller and C.E.M. Wagner, A supersymmetric theory of vector-like leptons, JHEP 07 (2013) 046 [arXiv:1303.2969] [INSPIRE].
R. Contino, M. Ghezzi, C. Grojean, M. Muhlleitner and M. Spira, Effective Lagrangian for a light Higgs-like scalar, JHEP 07 (2013) 035 [arXiv:1303.3876] [INSPIRE].
N. Maru and N. Okada, Diphoton decay excess and 125 GeV Higgs boson in gauge-Higgs unification, Phys. Rev. D 87 (2013) 095019 [arXiv:1303.5810] [INSPIRE].
N. Craig, C. Englert and M. McCullough, A new probe of naturalness, arXiv:1305.5251 [INSPIRE].
X.-G. He, Y. Tang and G. Valencia, Interplay between new physics in one-loop Higgs couplings and the top-quark Yukawa coupling, Phys. Rev. D 88 (2013) 033005 [arXiv:1305.5420] [INSPIRE].
M. Farina, M. Perelstein and N. R.-L. Lorier, Higgs couplings and naturalness, arXiv:1305.6068 [INSPIRE].
P. Artoisenet et al., A framework for Higgs characterisation, arXiv:1306.6464 [INSPIRE].
N. Maru and N. Okada, H → Zγ in gauge-Higgs unification, Phys. Rev. D 88 (2013) 037701 [arXiv:1307.0291] [INSPIRE].
J.S. Gainer, W.-Y. Keung, I. Low and P. Schwaller, Looking for a light Higgs boson in the Zγ→ℓℓγ channel,Phys. Rev. D 86 (2012) 033010 [arXiv:1112.1405] [INSPIRE].
M. Carena, I. Low and C.E. Wagner, Implications of a modified Higgs to diphoton decay width, JHEP 08 (2012) 060 [arXiv:1206.1082] [INSPIRE].
S. Weinberg, Baryon and lepton nonconserving processes, Phys. Rev. Lett. 43 (1979) 1566 [INSPIRE].
A. Djouadi, The anatomy of electro-weak symmetry breaking. I: the Higgs boson in the Standard Model, Phys. Rept. 457 (2008) 1 [hep-ph/0503172] [INSPIRE].
A. Djouadi, M. Spira and P. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett. B 264 (1991) 440 [INSPIRE].
S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys. B 359 (1991) 283 [INSPIRE].
M. Spira, A. Djouadi, D. Graudenz and P. Zerwas, Higgs boson production at the LHC, Nucl. Phys. B 453 (1995) 17 [hep-ph/9504378] [INSPIRE].
B.A. Kniehl and M. Spira, Low-energy theorems in Higgs physics, Z. Phys. C 69 (1995) 77 [hep-ph/9505225] [INSPIRE].
F. Wilczek, Decays of heavy vector mesons into Higgs particles, Phys. Rev. Lett. 39 (1977) 1304 [INSPIRE].
H. Georgi, S. Glashow, M. Machacek and D.V. Nanopoulos, Higgs bosons from two gluon annihilation in proton proton collisions, Phys. Rev. Lett. 40 (1978) 692 [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of particle physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].
K. Chetyrkin, B.A. Kniehl and M. Steinhauser, Hadronic Higgs decay to order \( \alpha_s^4 \), Phys. Rev. Lett. 79 (1997) 353 [hep-ph/9705240] [INSPIRE].
K. Chetyrkin, B.A. Kniehl and M. Steinhauser, Decoupling relations to \( O\left( {\alpha_S^3} \right) \) and their connection to low-energy theorems, Nucl. Phys. B 510 (1998) 61 [hep-ph/9708255] [INSPIRE].
V. Ahrens, T. Becher, M. Neubert and L.L. Yang, Origin of the large perturbative corrections to Higgs production at hadron colliders, Phys. Rev. D 79 (2009) 033013 [arXiv:0808.3008] [INSPIRE].
D. Neill, Two-loop matching onto dimension eight operators in the Higgs-glue sector, arXiv:0908.1573 [INSPIRE].
P. Baikov and K. Chetyrkin, Higgs decay into hadrons to order \( \alpha_s^5 \), Phys. Rev. Lett. 97 (2006) 061803 [hep-ph/0604194] [INSPIRE].
U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, Two loop light fermion contribution to Higgs production and decays, Phys. Lett. B 595 (2004) 432 [hep-ph/0404071] [INSPIRE].
G. Degrassi and F. Maltoni, Two-loop electroweak corrections to Higgs production at hadron colliders, Phys. Lett. B 600 (2004) 255 [hep-ph/0407249] [INSPIRE].
R.V. Harlander and M. Steinhauser, Supersymmetric Higgs production in gluon fusion at next-to-leading order, JHEP 09 (2004) 066 [hep-ph/0409010] [INSPIRE].
S.L. Adler and W.A. Bardeen, Quantum electrodynamics without photon selfenergy parts: an application of the Callan-Symanzik scaling equations, Phys. Rev. D 4 (1971) 3045 [Erratum ibid. D 6 (1972) 734] [INSPIRE].
E. Braaten and J. Leveille, Higgs boson decay and the running mass, Phys. Rev. D 22 (1980) 715 [INSPIRE].
D. Jones, The two loop β-function for a G 1 × G 2 gauge theory, Phys. Rev. D 25 (1982) 581 [INSPIRE].
C. Anastasiou, R. Boughezal and E. Furlan, The NNLO gluon fusion Higgs production cross-section with many heavy quarks, JHEP 06 (2010) 101 [arXiv:1003.4677] [INSPIRE].
E. Furlan, Gluon-fusion Higgs production at NNLO for a non-standard Higgs sector, JHEP 10 (2011) 115 [arXiv:1106.4024] [INSPIRE].
S. Dawson, A. Djouadi and M. Spira, QCD corrections to SUSY Higgs production: the role of squark loops, Phys. Rev. Lett. 77 (1996) 16 [hep-ph/9603423] [INSPIRE].
M. Muhlleitner and M. Spira, Higgs boson production via gluon fusion: squark loops at NLO QCD, Nucl. Phys. B 790 (2008) 1 [hep-ph/0612254] [INSPIRE].
C. Anastasiou, S. Beerli, S. Bucherer, A. Daleo and Z. Kunszt, Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop, JHEP 01 (2007) 082 [hep-ph/0611236] [INSPIRE].
R. Boughezal and F. Petriello, Color-octet scalar effects on Higgs boson production in gluon fusion, Phys. Rev. D 81 (2010) 114033 [arXiv:1003.2046] [INSPIRE].
M.E. Peskin and D.V. Schroeder, An introduction to quantum field theory, Addison-Wesley, Reading U.S.A. (1995).
M. Srednicki, Quantum field theory, Cambridge Univ. Pr., Cambridge U.K. (2007).
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].
M. Spira, private communications.
A. Djouadi, Squark effects on Higgs boson production and decay at the LHC, Phys. Lett. B 435 (1998) 101 [hep-ph/9806315] [INSPIRE].
R. Dermisek and I. Low, Probing the stop sector and the sanity of the MSSM with the Higgs boson at the LHC, Phys. Rev. D 77 (2008) 035012 [hep-ph/0701235] [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].
M. Carena, S. Gori, N.R. Shah, C.E. Wagner and L.-T. Wang, Light stau phenomenology and the Higgs γγ rate, JHEP 07 (2012) 175 [arXiv:1205.5842] [INSPIRE].
M. Carena, S. Gori, I. Low, N.R. Shah and C.E. Wagner, Vacuum stability and Higgs diphoton decays in the MSSM, JHEP 02 (2013) 114 [arXiv:1211.6136] [INSPIRE].
M. Carena, S. Gori, N.R. Shah, C.E. Wagner and L.-T. Wang, Light stops, light staus and the 125 GeV Higgs, JHEP 08 (2013) 087 [arXiv:1303.4414] [INSPIRE].
S. Heinemeyer, W. Hollik and G. Weiglein, FeynHiggs: a program for the calculation of the masses of the neutral CP even Higgs bosons in the MSSM, Comput. Phys. Commun. 124 (2000) 76 [hep-ph/9812320] [INSPIRE].
T. Hahn, W. Hollik, S. Heinemeyer and G. Weiglein, Precision Higgs masses with FeynHiggs 2.2, eConf C 050318 (2005) 0106 [hep-ph/0507009] [INSPIRE].
M. Frank et al., The Higgs boson masses and mixings of the complex MSSM in the Feynman-diagrammatic approach, JHEP 02 (2007) 047 [hep-ph/0611326] [INSPIRE].
S. Heinemeyer, W. Hollik, H. Rzehak and G. Weiglein, The Higgs sector of the complex MSSM at two-loop order: QCD contributions, Phys. Lett. B 652 (2007) 300 [arXiv:0705.0746] [INSPIRE].
G. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The strongly-interacting light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
R. Contino, C. Grojean, M. Moretti, F. Piccinini and R. Rattazzi, Strong double Higgs production at the LHC, JHEP 05 (2010) 089 [arXiv:1002.1011] [INSPIRE].
M.E. Peskin, Theoretical summary lecture for Higgs hunting 2012, arXiv:1208.5152 [INSPIRE].
M. Klute, R. Lafaye, T. Plehn, M. Rauch and D. Zerwas, Measuring Higgs couplings at a linear collider, Europhys. Lett. 101 (2013) 51001 [arXiv:1301.1322] [INSPIRE].
D.B. Kaplan and H. Georgi, SU(2) × U(1) breaking by vacuum misalignment, Phys. Lett. B 136 (1984) 183 [INSPIRE].
D.B. Kaplan, H. Georgi and S. Dimopoulos, Composite Higgs scalars, Phys. Lett. B 136 (1984) 187 [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, Electroweak symmetry breaking from dimensional deconstruction, Phys. Lett. B 513 (2001) 232 [hep-ph/0105239] [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].
A. Falkowski, Pseudo-Goldstone Higgs production via gluon fusion, Phys. Rev. D 77 (2008) 055018 [arXiv:0711.0828] [INSPIRE].
I. Low and A. Vichi, On the production of a composite Higgs boson, Phys. Rev. D 84 (2011) 045019 [arXiv:1010.2753] [INSPIRE].
N. Arkani-Hamed, A. Cohen, E. Katz and A. Nelson, The littlest Higgs, JHEP 07 (2002) 034 [hep-ph/0206021] [INSPIRE].
D. Pappadopulo and A. Vichi, T-parity, its problems and their solution, JHEP 03 (2011) 072 [arXiv:1007.4807] [INSPIRE].
S. Chang, A ‘littlest Higgs’ model with custodial SU(2) symmetry, JHEP 12 (2003) 057 [hep-ph/0306034] [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
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Gori, S., Low, I. Precision Higgs measurements: constraints from new oblique corrections. J. High Energ. Phys. 2013, 151 (2013). https://doi.org/10.1007/JHEP09(2013)151
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DOI: https://doi.org/10.1007/JHEP09(2013)151