Abstract
We present the constraints on the trilinear Higgs self coupling that arise from loop effects in the W boson mass and the effective sine predictions. We compute the contributions to these precision observables of two-loop diagrams featuring an anomalous trilinear Higgs self coupling. We explicitly show that the same anomalous contributions are found if the analysis of m W and sin2 θ lepeff is performed in a theory in which the scalar potential in the Standard Model Lagrangian is modified by an (in)finite tower of (Φ†Φ)n terms with Φ the Higgs doublet. We find that the bounds on the trilinear Higgs self coupling from precision observables are competitive with those coming from Higgs pair production.
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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].
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, Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV, Eur. Phys. J. C 75 (2015) 212 [arXiv:1412.8662] [INSPIRE].
ATLAS collaboration, Measurements of the Higgs boson production and decay rates and coupling strengths using pp collision data at \( \sqrt{s}=7 \) and 8 TeV in the ATLAS experiment, Eur. Phys. J. C 76 (2016) 6 [arXiv:1507.04548] [INSPIRE].
ATLAS and CMS collaboration, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
CMS collaboration, Projected performance of an upgraded CMS detector at the LHC and HL-LHC: contribution to the Snowmass process, arXiv:1307.7135 [INSPIRE].
M.E. Peskin, Estimation of LHC and ILC capabilities for precision Higgs boson coupling measurements, talk given at Community Summer Study 2013: Snowmass on the Mississippi (CSS2013), July 29-August 6, Minneapolis, U.S.A. (2013), arXiv:1312.4974 [INSPIRE].
ATLAS collaboration, Searches for Higgs boson pair production in the hh → bbτ τ, γγW W ∗ , γγbb, bbbb channels with the ATLAS detector, Phys. Rev. D 92 (2015) 092004 [arXiv:1509.04670] [INSPIRE].
ATLAS collaboration, Search for Higgs boson pair production in the \( b\overline{b}b\overline{b} \) final state from pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Eur. Phys. J. C 75 (2015) 412 [arXiv:1506.00285] [INSPIRE].
CMS collaboration, Search for two Higgs bosons in final states containing two photons and two bottom quarks in proton-proton collisions at 8 TeV, Phys. Rev. D 94 (2016) 052012 [arXiv:1603.06896] [INSPIRE].
ATLAS collaboration, Search for pair production of Higgs bosons in the \( b\overline{b}b\overline{b} \) final state using proton−proton collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-049 (2016).
E.W.N. Glover and J.J. van der Bij, Higgs boson pair production via gluon fusion, Nucl. Phys. B 309 (1988) 282 [INSPIRE].
T. Plehn, M. Spira and P.M. Zerwas, Pair production of neutral Higgs particles in gluon-gluon collisions, Nucl. Phys. B 479 (1996) 46 [Erratum ibid. B 531 (1998) 655] [hep-ph/9603205] [INSPIRE].
S. Dawson, S. Dittmaier and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections, Phys. Rev. D 58 (1998) 115012 [hep-ph/9805244] [INSPIRE].
J. Grigo, J. Hoff, K. Melnikov and M. Steinhauser, On the Higgs boson pair production at the LHC, Nucl. Phys. B 875 (2013) 1 [arXiv:1305.7340] [INSPIRE].
J. Grigo, K. Melnikov and M. Steinhauser, Virtual corrections to Higgs boson pair production in the large top quark mass limit, Nucl. Phys. B 888 (2014) 17 [arXiv:1408.2422] [INSPIRE].
J. Grigo, J. Hoff and M. Steinhauser, Higgs boson pair production: top quark mass effects at NLO and NNLO, Nucl. Phys. B 900 (2015) 412 [arXiv:1508.00909] [INSPIRE].
G. Degrassi, P.P. Giardino and R. Gröber, On the two-loop virtual QCD corrections to Higgs boson pair production in the Standard Model, Eur. Phys. J. C 76 (2016) 411 [arXiv:1603.00385] [INSPIRE].
D. de Florian and J. Mazzitelli, Higgs boson pair production at next-to-next-to-leading order in QCD, Phys. Rev. Lett. 111 (2013) 201801 [arXiv:1309.6594] [INSPIRE].
F. Maltoni, E. Vryonidou and M. Zaro, Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO, JHEP 11 (2014) 079 [arXiv:1408.6542] [INSPIRE].
S. Borowka et al., Higgs boson pair production in gluon fusion at next-to-leading order with full top-quark mass dependence, Phys. Rev. Lett. 117 (2016) 012001 [arXiv:1604.06447] [INSPIRE].
J. Baglio et al., The measurement of the Higgs self-coupling at the LHC: theoretical status, JHEP 04 (2013) 151 [arXiv:1212.5581] [INSPIRE].
R. Frederix et al., Higgs pair production at the LHC with NLO and parton-shower effects, Phys. Lett. B 732 (2014) 142 [arXiv:1401.7340] [INSPIRE].
ATLAS collaboration, Prospects for measuring Higgs pair production in the channel \( H\left(\to \gamma \gamma \right)H\left(\to b\overline{b}\right) \) using the ATLAS detector at the HL-LHC, ATL-PHYS-PUB-2014-019 (2014).
ATLAS collaboration, Higgs pair production in the \( H\left(\to \tau \tau \right)H\left(\to b\overline{b}\right) \) channel at the high-luminosity LHC, ATL-PHYS-PUB-2015-046 (2015).
T. Plehn and M. Rauch, The quartic Higgs coupling at hadron colliders, Phys. Rev. D 72 (2005)053008 [hep-ph/0507321] [INSPIRE].
T. Binoth, S. Karg, N. Kauer and R. Ruckl, Multi-Higgs boson production in the Standard Model and beyond, Phys. Rev. D 74 (2006) 113008 [hep-ph/0608057] [INSPIRE].
M. McCullough, An indirect model-dependent probe of the Higgs self-coupling, Phys. Rev. D 90 (2014) 015001 [arXiv:1312.3322] [INSPIRE].
G. Degrassi, P.P. Giardino, F. Maltoni and D. Pagani, Probing the Higgs self coupling via single Higgs production at the LHC, JHEP 12 (2016) 080 [arXiv:1607.04251] [INSPIRE].
M. Gorbahn and U. Haisch, Indirect probes of the trilinear Higgs coupling: gg → h and h→γγ, JHEP 10 (2016) 094 [arXiv:1607.03773] [INSPIRE].
W. Bizon, M. Gorbahn, U. Haisch and G. Zanderighi, Constraints on the trilinear Higgs coupling from vector boson fusion and associated Higgs production at the LHC, arXiv:1610.05771 [INSPIRE].
A. Sirlin, Role of sin2 θ W (m Z ) at the Z 0 peak, Phys. Lett. B 232 (1989) 123 [INSPIRE].
S. Fanchiotti and A. Sirlin, Accurate determination of sin2 θ W (m z ), Phys. Rev. D 41 (1990) 319 [INSPIRE].
G. Degrassi, S. Fanchiotti and A. Sirlin, Relations between the on-shell and MS frameworks and the M (W )-M (Z) interdependence, Nucl. Phys. B 351 (1991) 49 [INSPIRE].
G. Degrassi, P. Gambino and P.P. Giardino, The m W -m Z interdependence in the standard model: a new scrutiny, JHEP 05 (2015) 154 [arXiv:1411.7040] [INSPIRE].
P. Gambino and A. Sirlin, Relation between sin2 θ W (m z ) and sin2 θ lepeff , Phys. Rev. D 49 (1994)1160 [hep-ph/9309326] [INSPIRE].
A. Sirlin, Radiative corrections in the SU(2) L × U(1) theory: a simple renormalization framework, Phys. Rev. D 22 (1980) 971 [INSPIRE].
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
R. Mertig, M. Böhm and A. Denner, FEYN CALC: computer algebraic calculation of Feynman amplitudes, Comput. Phys. Commun. 64 (1991) 345 [INSPIRE].
V. Shtabovenko, R. Mertig and F. Orellana, New developments in FeynCalc 9.0, Comput. Phys. Commun. 207 (2016) 432 [arXiv:1601.01167] [INSPIRE].
R. Mertig and R. Scharf, TARCER: a Mathematica program for the reduction of two loop propagator integrals, Comput. Phys. Commun. 111 (1998) 265 [hep-ph/9801383] [INSPIRE].
A.I. Davydychev and J.B. Tausk, Two loop selfenergy diagrams with different masses and the momentum expansion, Nucl. Phys. B 397 (1993) 123 [INSPIRE].
S.P. Martin, Evaluation of two loop selfenergy basis integrals using differential equations, Phys. Rev. D 68 (2003) 075002 [hep-ph/0307101] [INSPIRE].
S.P. Martin and D.G. Robertson, TSIL: a program for the calculation of two-loop self-energy integrals, Comput. Phys. Commun. 174 (2006) 133 [hep-ph/0501132] [INSPIRE].
A. Sirlin and R. Zucchini, Dependence of the quartic coupling H(m) on M (h) and the possible onset of new physics in the Higgs sector of the standard model, Nucl. Phys. B 266 (1986)389 [INSPIRE].
ATLAS collaboration, Measurement of the W -boson mass in pp collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector, arXiv:1701.07240 [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of particle physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
CDF collaboration, T.A. Aaltonen et al., Measurement of sin2 θ lepteff using e + e − pairs from γ ∗ /Z bosons produced in \( p\overline{p} \) collisions at a center-of-momentum energy of 1.96 TeV, Phys. Rev. D 93 (2016) 112016 [arXiv:1605.02719] [INSPIRE].
D0 collaboration, V.M. Abazov et al., Measurement of the effective weak mixing angle in \( p\overline{p}\to Z/{\gamma}^{\ast}\to {e}^{+}{e}^{-} \) events, Phys. Rev. Lett. 115(2015)041801 [arXiv:1408.5016] [INSPIRE].
M. Awramik, M. Czakon and A. Freitas, Bosonic corrections to the effective weak mixing angle at O(α 2), Phys. Lett. B 642 (2006) 563 [hep-ph/0605339] [INSPIRE].
C. Grojean, G. Servant and J.D. Wells, First-order electroweak phase transition in the standard model with a low cutoff, Phys. Rev. D 71 (2005) 036001 [hep-ph/0407019] [INSPIRE].
P. Huang, A. Joglekar, B. Li and C.E.M. Wagner, Probing the electroweak phase transition at the LHC, Phys. Rev. D 93 (2016) 055049 [arXiv:1512.00068] [INSPIRE].
J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Derivation of gauge invariance from high-energy unitarity bounds on the s matrix, Phys. Rev. D 10 (1974) 1145 [Erratum ibid. D 11 (1975) 972] [INSPIRE].
A. Falkowski, Three slides on triple Higgs couplings, talk given at the LHC Higgs Cross Section Working Group, HH subgroup meeting, December 12, Geneva, Switzerland (2016).
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Degrassi, G., Fedele, M. & Giardino, P. Constraints on the trilinear Higgs self coupling from precision observables. J. High Energ. Phys. 2017, 155 (2017). https://doi.org/10.1007/JHEP04(2017)155
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DOI: https://doi.org/10.1007/JHEP04(2017)155