Abstract
We present a complete (non-redundant) basis of CP- and flavour-conserving six-dimensional operators in a two Higgs doublet model (2HDM). We include \( {\mathbb{Z}}_2 \)-violating operators as well. In such a 2HDM effective field theory (2HDMEFT), we estimate how constraining the 2HDM parameter space from experiments can get disturbed due to these operators. Our basis is motivated by the strongly interacting light Higgs (SILH) basis used in the standard model effective field theory (SMEFT). We find out bounds on combinations of Wilson coefficients of such operators from precision observables, signal strengths of Higgs decaying into vector bosons etc. In 2HDMEFT, the 2HDM parameter space can play a significant role while deriving such constraints, by leading to reduced or even enhanced effects compared to SMEFT in certain processes. We also comment on the implications of the SILH suppressions in such considerations.
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References
M. Trodden, Electroweak baryogenesis, Rev. Mod. Phys. 71 (1999) 1463 [hep-ph/9803479] [INSPIRE].
A. Crivellin, C. Greub and A. Kokulu, Explaining B → Dτ ν, B → D ∗ τ ν and B → τ ν in a 2HDM of type-III, Phys. Rev. D 86 (2012) 054014 [arXiv:1206.2634] [INSPIRE].
A. Celis, M. Jung, X.-Q. Li and A. Pich, Sensitivity to charged scalars in B → D (∗) τν τ and B → τν τ decays, JHEP 01 (2013) 054 [arXiv:1210.8443] [INSPIRE].
A. Crivellin, J. Heeck and P. Stoffer, A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model, Phys. Rev. Lett. 116 (2016) 081801 [arXiv:1507.07567] [INSPIRE].
G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
W. Buchmüller and D. Wyler, Effective Lagrangian Analysis of New Interactions and Flavor Conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].
C.N. Leung, S.T. Love and S. Rao, Low-Energy Manifestations of a New Interaction Scale: Operator Analysis, Z. Phys. C 31 (1986) 433 [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].
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].
K. Agashe, R. Contino and A. Pomarol, The minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen, E. Katz and A.E. Nelson, The Littlest Higgs, JHEP 07 (2002) 034 [hep-ph/0206021] [INSPIRE].
A. Falkowski, Effective field theory approach to LHC Higgs data, Pramana 87 (2016) 39 [arXiv:1505.00046] [INSPIRE].
I. Brivio and M. Trott, The Standard Model as an Effective Field Theory, arXiv:1706.08945 [INSPIRE].
J. Mrazek, A. Pomarol, R. Rattazzi, M. Redi, J. Serra and A. Wulzer, The Other Natural Two Higgs Doublet Model, Nucl. Phys. B 853 (2011) 1 [arXiv:1105.5403] [INSPIRE].
S. De Curtis, S. Moretti, K. Yagyu and E. Yildirim, Perturbative unitarity bounds in composite two-Higgs doublet models, Phys. Rev. D 94 (2016) 055017 [arXiv:1602.06437] [INSPIRE].
S. De Curtis, S. Moretti, K. Yagyu and E. Yildirim, Theory and Phenomenology of Composite 2-Higgs Doublet Models, PoS(CHARGED2016)018 [arXiv:1612.05125] [INSPIRE].
S. De Curtis, S. Moretti, K. Yagyu and E. Yildirim, Single and double SM-like Higgs boson production at future electron-positron colliders in composite 2HDMs, Phys. Rev. D 95 (2017) 095026 [arXiv:1702.07260] [INSPIRE].
T. Brown, C. Frugiuele and T. Gregoire, UV friendly T-parity in the SU(6)/Sp(6) little Higgs model, JHEP 06 (2011) 108 [arXiv:1012.2060] [INSPIRE].
S. Gopalakrishna, T.S. Mukherjee and S. Sadhukhan, Status and Prospects of the Two-Higgs-Doublet SU(6)/Sp(6) little-Higgs Model and the Alignment Limit, Phys. Rev. D 94 (2016) 015034 [arXiv:1512.05731] [INSPIRE].
N. Fonseca, R. Zukanovich Funchal, A. Lessa and L. Lopez-Honorez, Dark Matter Constraints on Composite Higgs Models, JHEP 06 (2015) 154 [arXiv:1501.05957] [INSPIRE].
A. Carmona and M. Chala, Composite Dark Sectors, JHEP 06 (2015) 105 [arXiv:1504.00332] [INSPIRE].
M. Chala, G. Durieux, C. Grojean, L. de Lima and O. Matsedonskyi, Minimally extended SILH, JHEP 06 (2017) 088 [arXiv:1703.10624] [INSPIRE].
J.L. Diaz-Cruz, J. Hernandez-Sanchez and J.J. Toscano, An effective Lagrangian description of charged Higgs decays H + → W + γ, W + Z and W + h 0, Phys. Lett. B 512 (2001) 339 [hep-ph/0106001] [INSPIRE].
Y. Kikuta and Y. Yamamoto, Derivative interactions and perturbative UV contributions in N Higgs Doublet Models, Eur. Phys. J. C 76 (2016) 297 [arXiv:1510.05540] [INSPIRE].
Y. Kikuta, Y. Okada and Y. Yamamoto, Structure of dimension-six derivative interactions in pseudo Nambu-Goldstone N Higgs doublet models, Phys. Rev. D 85 (2012) 075021 [arXiv:1111.2120] [INSPIRE].
Y. Kikuta and Y. Yamamoto, Perturbative unitarity of Higgs derivative interactions, PTEP 2013 (2013) 053B05 [arXiv:1210.5674] [INSPIRE].
A. Crivellin, M. Ghezzi and M. Procura, Effective Field Theory with Two Higgs Doublets, JHEP 09 (2016) 160 [arXiv:1608.00975] [INSPIRE].
I.F. Ginzburg and M. Krawczyk, Symmetries of two Higgs doublet model and CP-violation, Phys. Rev. D 72 (2005) 115013 [hep-ph/0408011] [INSPIRE].
I.F. Ginzburg, Necessity of mixed kinetic term in the description of general system with identical scalar fields, Phys. Lett. B 682 (2009) 61 [arXiv:0810.1546] [INSPIRE].
H.D. Politzer, Power Corrections at Short Distances, Nucl. Phys. B 172 (1980) 349 [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].
J. Elias-Miro, J.R. Espinosa, E. Masso and A. Pomarol, Higgs windows to new physics through D = 6 operators: constraints and one-loop anomalous dimensions, JHEP 11 (2013) 066 [arXiv:1308.1879] [INSPIRE].
M. Carena, I. Low, N.R. Shah and C.E.M. Wagner, Impersonating the Standard Model Higgs Boson: Alignment without Decoupling, JHEP 04 (2014) 015 [arXiv:1310.2248] [INSPIRE].
K. Hagiwara, R.D. Peccei, D. Zeppenfeld and K. Hikasa, Probing the Weak Boson Sector in e + e − → W + W −, Nucl. Phys. B 282 (1987) 253 [INSPIRE].
ALEPH, DELPHI, L3, OPAL, and LEP TGC Working Group collaborations, A combination of results on charged triple gauge boson couplings measured by the LEP experiments, LEPEWWG/TGC/2003-01.
A. Falkowski, M. Gonzalez-Alonso, A. Greljo and D. Marzocca, Global constraints on anomalous triple gauge couplings in effective field theory approach, Phys. Rev. Lett. 116 (2016) 011801 [arXiv:1508.00581] [INSPIRE].
I. Maksymyk, C.P. Burgess and D. London, Beyond S, T and U, Phys. Rev. D 50 (1994) 529 [hep-ph/9306267] [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
Gfitter Group collaboration, M. Baak et al., The global electroweak fit at NNLO and prospects for the LHC and ILC, Eur. Phys. J. C 74 (2014) 3046 [arXiv:1407.3792] [INSPIRE].
C.P. Burgess, S. Godfrey, H. Konig, D. London and I. Maksymyk, Model independent global constraints on new physics, Phys. Rev. D 49 (1994) 6115 [hep-ph/9312291] [INSPIRE].
H.E. Haber and D. O’Neil, Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry and the oblique parameters S, T, U, Phys. Rev. D 83 (2011) 055017 [arXiv:1011.6188] [INSPIRE].
D.C. Kennedy and B.W. Lynn, Electroweak Radiative Corrections with an Effective Lagrangian: Four Fermion Processes, Nucl. Phys. B 322 (1989) 1 [INSPIRE].
C.P. Burgess, The effective use of precision electroweak measurements, Pramana 45 (1995) S47 [hep-ph/9411257] [INSPIRE].
M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Models of Yukawa interaction in the two Higgs doublet model and their collider phenomenology, Phys. Rev. D 80 (2009) 015017 [arXiv:0902.4665] [INSPIRE].
O. Eberhardt, U. Nierste and M. Wiebusch, Status of the two-Higgs-doublet model of type-II, JHEP 07 (2013) 118 [arXiv:1305.1649] [INSPIRE].
H.E. Haber and O. Stål, New LHC benchmarks for the \( \mathcal{C}\mathcal{P} \) -conserving two-Higgs-doublet model, Eur. Phys. J. C 75 (2015) 491 [Erratum ibid. C 76 (2016) 312] [arXiv:1507.04281] [INSPIRE].
H. Bélusca-Maïto, A. Falkowski, D. Fontes, J.C. Romão and J.P. Silva, Higgs EFT for 2HDM and beyond, Eur. Phys. J. C 77 (2017) 176 [arXiv:1611.01112] [INSPIRE].
T. Appelquist and J. Carazzone, Infrared Singularities and Massive Fields, Phys. Rev. D 11 (1975) 2856 [INSPIRE].
J.F. Gunion and H.E. Haber, The CP conserving two Higgs doublet model: The approach to the decoupling limit, Phys. Rev. D 67 (2003) 075019 [hep-ph/0207010] [INSPIRE].
P.S. Bhupal Dev and A. Pilaftsis, Maximally Symmetric Two Higgs Doublet Model with Natural Standard Model Alignment, JHEP 12 (2014) 024 [Erratum ibid. 11 (2015) 147] [arXiv:1408.3405] [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].
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].
A. Falkowski, F. Riva and A. Urbano, Higgs at last, JHEP 11 (2013) 111 [arXiv:1303.1812] [INSPIRE].
R.N. Cahn, The Higgs Boson, Rept. Prog. Phys. 52 (1989) 389 [INSPIRE].
L. Altenkamp, S. Dittmaier and H. Rzehak, Renormalization schemes for the Two-Higgs-Doublet Model and applications to h → W W/ZZ → 4 fermions, arXiv:1704.02645 [INSPIRE].
S. Dawson et al., Working Group Report: Higgs Boson, arXiv:1310.8361 [INSPIRE].
M.A. Luty, Naive dimensional analysis and supersymmetry, Phys. Rev. D 57 (1998) 1531 [hep-ph/9706235] [INSPIRE].
A. Pomarol, Higgs Physics, arXiv:1412.4410 [INSPIRE].
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Karmakar, S., Rakshit, S. Higher dimensional operators in 2HDM. J. High Energ. Phys. 2017, 48 (2017). https://doi.org/10.1007/JHEP10(2017)048
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DOI: https://doi.org/10.1007/JHEP10(2017)048