Abstract
We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudo-Nambu-Goldstone bosons describe the SU(4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. The results of our spectroscopic analysis provide new input data for future phenomenological studies in the contexts of composite Higgs models, and of dark matter models with a strongly coupled dynamical origin.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
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].
D.B. Kaplan and H. Georgi, SU(2) × U(1) Breaking by Vacuum Misalignment, Phys. Lett.136B (1984) 183 [INSPIRE].
H. Georgi and D.B. Kaplan, Composite Higgs and Custodial SU(2), Phys. Lett.145B (1984) 216 [INSPIRE].
M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a Composite Higgs Model, Nucl. Phys.B 254 (1985) 299 [INSPIRE].
M.E. Peskin, The Alignment of the Vacuum in Theories of Technicolor, Nucl. Phys.B 175 (1980) 197 [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The Minimal composite Higgs model, Nucl. Phys.B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
R. Contino, L. Da Rold and A. Pomarol, Light custodians in natural composite Higgs models, Phys. Rev.D 75 (2007) 055014 [hep-ph/0612048] [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].
P. Lodone, Vector-like quarks in a ‘composite’ Higgs model, JHEP12 (2008) 029 [arXiv:0806.1472] [INSPIRE].
D. Marzocca, M. Serone and J. Shu, General Composite Higgs Models, JHEP08 (2012) 013 [arXiv:1205.0770] [INSPIRE].
C. Grojean, O. Matsedonskyi and G. Panico, Light top partners and precision physics, JHEP10 (2013) 160 [arXiv:1306.4655] [INSPIRE].
G. Ferretti and D. Karateev, Fermionic UV completions of Composite Higgs models, JHEP03 (2014) 077 [arXiv:1312.5330] [INSPIRE].
G. Cacciapaglia and F. Sannino, Fundamental Composite (Goldstone) Higgs Dynamics, JHEP04 (2014) 111 [arXiv:1402.0233] [INSPIRE].
A. Arbey, G. Cacciapaglia, H. Cai, A. Deandrea, S. Le Corre and F. Sannino, Fundamental Composite Electroweak Dynamics: Status at the LHC, Phys. Rev.D 95 (2017) 015028 [arXiv:1502.04718] [INSPIRE].
L. Vecchi, A dangerous irrelevant UV-completion of the composite Higgs, JHEP02 (2017) 094 [arXiv:1506.00623] [INSPIRE].
G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs, Lect. Notes Phys.913 (2016) 1 [arXiv:1506.01961] [INSPIRE].
G. Ferretti, Gauge theories of Partial Compositeness: Scenarios for Run-II of the LHC, JHEP06 (2016) 107 [arXiv:1604.06467] [INSPIRE].
A. Agugliaro, O. Antipin, D. Becciolini, S. De Curtis and M. Redi, T. Alanne, D. Buarque Franzosi and M.T. Frandsen, A partially composite Goldstone Higgs, Phys. Rev.D 96 (2017) 095012 [arXiv:1709.10473] [INSPIRE].
F. Feruglio, B. Gavela, K. Kanshin, P.A.N. Machado, S. Rigolin and S. Saa, The minimal linear σ-model for the Goldstone Higgs, JHEP06 (2016) 038 [arXiv:1603.05668] [INSPIRE].
S. Fichet, G. von Gersdorff, E. Pontón and R. Rosenfeld, The Excitation of the Global Symmetry-Breaking Vacuum in Composite Higgs Models, JHEP09 (2016) 158 [arXiv:1607.03125] [INSPIRE].
J. Galloway, A.L. Kagan and A. Martin, A UV complete partially composite-PNGB Higgs, Phys. Rev.D 95 (2017) 035038 [arXiv:1609.05883] [INSPIRE].
T. Alanne, D. Buarque Franzosi, M.T. Frandsen, M.L.A. Kristensen, A. Meroni and M. Rosenlyst, Partially composite Higgs models: Phenomenology and RG analysis, JHEP01 (2018) 051 [arXiv:1711.10410] [INSPIRE].
C. Csáki, T. Ma and J. Shu, Maximally Symmetric Composite Higgs Models, Phys. Rev. Lett.119 (2017) 131803 [arXiv:1702.00405] [INSPIRE].
M. Chala, G. Durieux, C. Grojean, L. de Lima and O. Matsedonskyi, Minimally extended SILH, JHEP06 (2017) 088 [arXiv:1703.10624] [INSPIRE].
C. Csáki, T. Ma and J. Shu, Trigonometric Parity for Composite Higgs Models, Phys. Rev. Lett.121 (2018) 231801 [arXiv:1709.08636] [INSPIRE].
V. Ayyar et al., Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations, Phys. Rev.D 97 (2018) 114505 [arXiv:1801.05809] [INSPIRE].
V. Ayyar et al., Finite-temperature phase structure of SU(4) gauge theory with multiple fermion representations, Phys. Rev.D 97 (2018) 114502 [arXiv:1802.09644] [INSPIRE].
C. Cai, G. Cacciapaglia and H.-H. Zhang, Vacuum alignment in a composite 2HDM, JHEP01 (2019) 130 [arXiv:1805.07619] [INSPIRE].
A. Agugliaro, G. Cacciapaglia, A. Deandrea and S. De Curtis, Vacuum misalignment and pattern of scalar masses in the SU(5)/SO(5) composite Higgs model, JHEP02 (2019) 089 [arXiv:1805.07619] [arXiv:1808.10175] [INSPIRE].
V. Ayyar et al., Partial compositeness and baryon matrix elements on the lattice, Phys. Rev.D 99 (2019) 094502 [arXiv:1812.02727] [INSPIRE].
G. Cacciapaglia, S. Vatani, T. Ma and Y. Wu, Towards a fundamental safe theory of composite Higgs and Dark Matter, arXiv:1812.04005 [INSPIRE].
O. Witzel, Review on Composite Higgs Models, PoS (LATTICE2018)006 (2019) [arXiv:1901.08216] [INSPIRE].
G. Cacciapaglia, G. Ferretti, T. Flacke and H. Serôdio, Light scalars in composite Higgs models, Front. Phys.7 (2019) 22 [arXiv:1902.06890] [INSPIRE].
V. Ayyar et al., Radiative Contribution to the Composite-Higgs Potential in a Two-Representation Lattice Model, Phys. Rev.D 99 (2019) 094504 [arXiv:1903.02535] [INSPIRE].
G. Cossu, L. Del Debbio, M. Panero and D. Preti, Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions, Eur. Phys. J.C 79 (2019) 638 [arXiv:1904.08885] [INSPIRE].
G. Cacciapaglia, H. Cai, A. Deandrea and A. Kushwaha, Composite Higgs and Dark Matter Model in SU(6)/SO(6), JHEP10 (2019) 035 [arXiv:1904.09301] [INSPIRE].
D. Buarque Franzosi and G. Ferretti, Anomalous dimensions of potential top-partners, SciPost Phys.7 (2019) 027 [arXiv:1905.08273] [INSPIRE].
E. Katz, A.E. Nelson and D.G.E. Walker, The Intermediate Higgs, JHEP08 (2005) 074 [hep-ph/0504252] [INSPIRE].
B. Gripaios, A. Pomarol, F. Riva and J. Serra, Beyond the Minimal Composite Higgs Model, JHEP04 (2009) 070 [arXiv:0902.1483] [INSPIRE].
J. Barnard, T. Gherghetta and T.S. Ray, UV descriptions of composite Higgs models without elementary scalars, JHEP02 (2014) 002 [arXiv:1311.6562] [INSPIRE].
R. Lewis, C. Pica and F. Sannino, Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors, Phys. Rev.D 85 (2012) 014504 [arXiv:1109.3513] [INSPIRE].
A. Hietanen, R. Lewis, C. Pica and F. Sannino, Fundamental Composite Higgs Dynamics on the Lattice: SU(2) with Two Flavors, JHEP07 (2014) 116 [arXiv:1404.2794] [INSPIRE].
R. Arthur, V. Drach, M. Hansen, A. Hietanen, C. Pica and F. Sannino, SU(2) gauge theory with two fundamental flavors: A minimal template for model building, Phys. Rev.D 94 (2016) 094507 [arXiv:1602.06559] [INSPIRE].
R. Arthur, V. Drach, A. Hietanen, C. Pica and F. Sannino, SU(2) Gauge Theory with Two Fundamental Flavours: Scalar and Pseudoscalar Spectrum, arXiv:1607.06654 [INSPIRE].
C. Pica, V. Drach, M. Hansen and F. Sannino, Composite Higgs Dynamics on the Lattice, EPJ Web Conf.137 (2017) 10005 [arXiv:1612.09336] [INSPIRE].
W. Detmold, M. McCullough and A. Pochinsky, Dark nuclei. II. Nuclear spectroscopy in two-color QCD, Phys. Rev.D 90 (2014) 114506 [arXiv:1406.4116] [INSPIRE].
J.-W. Lee, B. Lucini and M. Piai, Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories, JHEP04 (2017) 036 [arXiv:1701.03228] [INSPIRE].
G. Cacciapaglia, H. Cai, A. Deandrea, T. Flacke, S.J. Lee and A. Parolini, Composite scalars at the LHC: the Higgs, the Sextet and the Octet, JHEP11 (2015) 201 [arXiv:1507.02283] [INSPIRE].
N. Bizot, M. Frigerio, M. Knecht and J.-L. Kneur, Nonperturbative analysis of the spectrum of meson resonances in an ultraviolet-complete composite-Higgs model, Phys. Rev.D 95 (2017) 075006 [arXiv:1610.09293] [INSPIRE].
D.K. Hong, Very light dilaton and naturally light Higgs boson, JHEP02 (2018) 102 [arXiv:1703.05081] [INSPIRE].
M. Golterman and Y. Shamir, Effective potential in ultraviolet completions for composite Higgs models, Phys. Rev.D 97 (2018) 095005 [arXiv:1707.06033] [INSPIRE].
V. Drach, T. Janowski and C. Pica, Update on SU(2) gauge theory with NF = 2 fundamental flavours, EPJ Web Conf.175 (2018) 08020 [arXiv:1710.07218] [INSPIRE].
F. Sannino, P. Stangl, D.M. Straub and A.E. Thomsen, Flavor Physics and Flavor Anomalies in Minimal Fundamental Partial Compositeness, Phys. Rev.D 97 (2018) 115046 [arXiv:1712.07646] [INSPIRE].
T. Alanne, N. Bizot, G. Cacciapaglia and F. Sannino, Classification of NLO operators for composite Higgs models, Phys. Rev.D 97 (2018) 075028 [arXiv:1801.05444] [INSPIRE].
N. Bizot, G. Cacciapaglia and T. Flacke, Common exotic decays of top partners, JHEP06 (2018) 065 [arXiv:1803.00021] [INSPIRE].
D. Buarque Franzosi, G. Cacciapaglia and A. Deandrea, Sigma-assisted natural composite Higgs, arXiv:1809.09146 [INSPIRE].
H. Gertov, A.E. Nelson, A. Perko and D.G.E. Walker, Lattice-Friendly Gauge Completion of a Composite Higgs with Top Partners, JHEP02 (2019) 181 [arXiv:1901.10456] [INSPIRE].
E. Bennett et al., Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond), JHEP03 (2018) 185 [arXiv:1712.04220] [INSPIRE].
E. Bennett et al., Higgs compositeness in Sp(2N) gauge theories — Resymplecticisation, scale setting and topology, EPJ Web Conf.175 (2018) 08012 [arXiv:1710.06715] [INSPIRE].
E. Bennett et al., Higgs compositeness in Sp(2N) gauge theories — Determining the low-energy constants with lattice calculations, EPJ Web Conf.175 (2018) 08011 [arXiv:1710.06941] [INSPIRE].
E. Bennett et al., Higgs compositeness in Sp(2N) gauge theories — The pure gauge model, EPJ Web Conf.175 (2018) 08013 [arXiv:1710.07043] [INSPIRE].
J.-W. Lee et al., Progress in the lattice simulations of Sp(2N) gauge theories, PoS(LATTICE2018)192 (2018) [arXiv:1811.00276] [INSPIRE].
F. Sannino, Conformal Windows of Sp(2N) and SO(N) Gauge Theories, Phys. Rev.D 79 (2009) 096007 [arXiv:0902.3494] [INSPIRE].
T.A. Ryttov and R. Shrock, Infrared fixed point physics in SO(N c) and Sp(N c) gauge theories, Phys. Rev.D 96 (2017) 105015 [arXiv:1709.05358] [INSPIRE].
Y. Hochberg, E. Kuflik, T. Volansky and J.G. Wacker, Mechanism for Thermal Relic Dark Matter of Strongly Interacting Massive Particles, Phys. Rev. Lett.113 (2014) 171301 [arXiv:1402.5143] [INSPIRE].
Y. Hochberg, E. Kuflik, H. Murayama, T. Volansky and J.G. Wacker, Model for Thermal Relic Dark Matter of Strongly Interacting Massive Particles, Phys. Rev. Lett.115 (2015) 021301 [arXiv:1411.3727] [INSPIRE].
A. Berlin, N. Blinov, S. Gori, P. Schuster and N. Toro, Cosmology and Accelerator Tests of Strongly Interacting Dark Matter, Phys. Rev.D 97 (2018) 055033 [arXiv:1801.05805] [INSPIRE].
M. Lüscher, Signatures of unstable particles in finite volume, Nucl. Phys.B 364 (1991) 237 [INSPIRE].
X. Feng, K. Jansen and D.B. Renner, Resonance Parameters of the rho-Meson from Lattice QCD, Phys. Rev.D 83 (2011) 094505 [arXiv:1011.5288] [INSPIRE].
C. Alexandrou et al., P-wave ππ scattering and the ρ resonance from lattice QCD, Phys. Rev.D 96 (2017) 034525 [arXiv:1704.05439] [INSPIRE].
A.D. Gasbarro and G.T. Fleming, Examining the Low Energy Dynamics of Walking Gauge Theory, PoS(LATTICE2016)242 (2017) [arXiv:1702.00480] [INSPIRE].
M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Is rho Meson a Dynamical Gauge Boson of Hidden Local Symmetry?, Phys. Rev. Lett.54 (1985) 1215 [INSPIRE].
R. Casalbuoni, S. De Curtis, D. Dominici and R. Gatto, Effective Weak Interaction Theory with Possible New Vector Resonance from a Strong Higgs Sector, Phys. Lett.155B (1985) 95 [INSPIRE].
M. Bando, T. Kugo and K. Yamawaki, Nonlinear Realization and Hidden Local Symmetries, Phys. Rept.164 (1988) 217 [INSPIRE].
R. Casalbuoni, S. De Curtis, D. Dominici, F. Feruglio and R. Gatto, Vector and Axial Vector Bound States From a Strongly Interacting Electroweak Sector, Int. J. Mod. Phys.A 4 (1989) 1065 [INSPIRE].
M. Harada and K. Yamawaki, Hidden local symmetry at loop: A New perspective of composite gauge boson and chiral phase transition, Phys. Rept.381 (2003) 1 [hep-ph/0302103] [INSPIRE].
H. Georgi, Vector Realization of Chiral Symmetry, Nucl. Phys.B 331 (1990) 311 [INSPIRE].
T. Appelquist, P.S. Rodrigues da Silva and F. Sannino, Enhanced global symmetries and the chiral phase transition, Phys. Rev.D 60 (1999) 116007 [hep-ph/9906555] [INSPIRE].
M. Piai, A. Pierce and J.G. Wacker, Composite vector mesons from QCD to the little Higgs, hep-ph/0405242 [INSPIRE].
D. Buarque Franzosi, G. Cacciapaglia, H. Cai, A. Deandrea and M. Frandsen, Vector and Axial-vector resonances in composite models of the Higgs boson, JHEP11 (2016) 076 [arXiv:1605.01363] [INSPIRE].
E. Bennett et al., Sp(4) gauge theories on the lattice: quenched fundamental and antisymmetric fermions, in preparation.
O. Bär and M. Golterman, Chiral perturbation theory for gradient flow observables, Phys. Rev.D 89 (2014) 034505 [Erratum ibid.D 89 (2014) 099905] [arXiv:1312.4999] [INSPIRE].
V. Ayyar et al., Spectroscopy of SU(4) composite Higgs theory with two distinct fermion representations, Phys. Rev.D 97 (2018) 074505 [arXiv:1710.00806] [INSPIRE].
B. Sheikholeslami and R. Wohlert, Improved Continuum Limit Lattice Action for QCD with Wilson Fermions, Nucl. Phys.B 259 (1985) 572 [INSPIRE].
G. Rupak and N. Shoresh, Chiral perturbation theory for the Wilson lattice action, Phys. Rev.D 66 (2002) 054503 [hep-lat/0201019] [INSPIRE].
S.R. Sharpe and R.L. Singleton Jr., Spontaneous flavor and parity breaking with Wilson fermions, Phys. Rev.D 58 (1998) 074501 [hep-lat/9804028] [INSPIRE].
M. Lüscher, S. Sint, R. Sommer and P. Weisz, Chiral symmetry and O(a) improvement in lattice QCD, Nucl. Phys.B 478 (1996) 365 [hep-lat/9605038] [INSPIRE].
K. Symanzik, Continuum Limit and Improved Action in Lattice Theories. 1. Principles and ϕ 4Theory, Nucl. Phys.B 226 (1983) 187 [INSPIRE].
L. Del Debbio, A. Patella and C. Pica, Higher representations on the lattice: Numerical simulations. SU(2) with adjoint fermions, Phys. Rev.D 81 (2010) 094503 [arXiv:0805.2058] [INSPIRE].
K. Holland, M. Pepe and U.J. Wiese, The Deconfinement phase transition of Sp(2) and Sp(3) Yang-Mills theories in (2 + 1)-dimensions and (3 + 1)-dimensions, Nucl. Phys.B 694 (2004) 35 [hep-lat/0312022] [INSPIRE].
L. Del Debbio, M.T. Frandsen, H. Panagopoulos and F. Sannino, Higher representations on the lattice: Perturbative studies, JHEP06 (2008) 007 [arXiv:0802.0891] [INSPIRE].
B. Efron, The Jackknife, the Bootstrap and Other Resampling Plans, in CBMS-NSF Regional Conference Series in Applied Mathematics, Philadelphia: Society for Industrial and Applied Mathematics (SIAM) (1982) [DOI:https://doi.org/10.1137/1.9781611970319].
M. Lüscher, Properties and uses of the Wilson flow in lattice QCD, JHEP08 (2010) 071 [Erratum ibid.03 (2014) 092] [arXiv:1006.4518] [INSPIRE].
M. Lüscher and P. Weisz, Perturbative analysis of the gradient flow in non-abelian gauge theories, JHEP02 (2011) 051 [arXiv:1101.0963] [INSPIRE].
S. Borsányi et al., High-precision scale setting in lattice QCD, JHEP09 (2012) 010 [arXiv:1203.4469] [INSPIRE].
J. Gasser and H. Leutwyler, Light Quarks at Low Temperatures, Phys. Lett.B 184 (1987) 83 [INSPIRE].
M. Golterman, Applications of chiral perturbation theory to lattice QCD, in Modern perspectives in lattice QCD: Quantum field theory and high performance computing. Proceedings, International School, 93rd Session, Les Houches, France, 3–28 August 2009, pp. 423–515 (2009) [arXiv:0912.4042] [INSPIRE].
Z. Fodor, K. Holland, J. Kuti, D. Nogradi and C.H. Wong, The Yang-Mills gradient flow in finite volume, JHEP11 (2012) 007 [arXiv:1208.1051] [INSPIRE].
L.Y. Glozman, Restoration of chiral and U(1)A symmetries in excited hadrons, Phys. Rept.444 (2007) 1 [hep-ph/0701081] [INSPIRE].
L. Ya. Glozman and M. Pak, Exploring a new SU(4) symmetry of meson interpolators, Phys. Rev.D 92 (2015) 016001 [arXiv:1504.02323] [INSPIRE].
L. Glozman, Chiralspin Symmetry and Its Implications for QCD, Universe5 (2019) 38 [arXiv:1810.09886] [INSPIRE].
P.A. Boyle, A. Juttner, C. Kelly and R.D. Kenway, Use of stochastic sources for the lattice determination of light quark physics, JHEP08 (2008) 086 [arXiv:0804.1501] [INSPIRE].
T. DeGrand, Y. Liu, E.T. Neil, Y. Shamir and B. Svetitsky, Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions, Phys. Rev.D 91 (2015) 114502 [arXiv:1501.05665] [INSPIRE].
G. Martinelli and Y.-C. Zhang, The Connection Between Local Operators on the Lattice and in the Continuum and Its Relation to Meson Decay Constants, Phys. Lett.123B (1983) 433 [INSPIRE].
G.P. Lepage and P.B. Mackenzie, On the viability of lattice perturbation theory, Phys. Rev.D 48 (1993) 2250 [hep-lat/9209022] [INSPIRE].
M. Gell-Mann, R.J. Oakes and B. Renner, Behavior of current divergences under SU(3) × SU(3), Phys. Rev.175 (1968) 2195 [INSPIRE].
J. Bijnens and J. Lu, Technicolor and other QCD-like theories at next-to-next-to-leading order, JHEP11 (2009) 116 [arXiv:0910.5424] [INSPIRE].
S. Weinberg, Precise relations between the spectra of vector and axial vector mesons, Phys. Rev. Lett.18 (1967) 507 [INSPIRE].
T. DeGrand and Y. Liu, Lattice study of large Nc QCD, Phys. Rev.D 94 (2016) 034506 [Erratum ibid.D 95 (2017) 019902] [arXiv:1606.01277] [INSPIRE].
ETM collaboration, Meson masses and decay constants from unquenched lattice QCD, Phys. Rev.D 80 (2009) 054510 [arXiv:0906.4720] [INSPIRE].
K. Kawarabayashi and M. Suzuki, Partially conserved axial vector current and the decays of vector mesons, Phys. Rev. Lett.16 (1966) 255 [INSPIRE].
Riazuddin and Fayyazuddin, Algebra of current components and decay widths of rho and K *mesons, Phys. Rev.147 (1966) 1071 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
D. Nogradi and L. Szikszai, The flavor dependence of m ϱ/fπ , JHEP05 (2019) 197 [arXiv:1905.01909] [INSPIRE].
E. Bennett et al., Sp(2N) Yang-Mills theories on the lattice: glueballs and strings, in preparation.
T. DeGrand, M. Golterman, E.T. Neil and Y. Shamir, One-loop Chiral Perturbation Theory with two fermion representations, Phys. Rev.D 94 (2016) 025020 [arXiv:1605.07738] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1909.12662
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Bennett, E., Hong, D.K., Lee, JW. et al. Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions. J. High Energ. Phys. 2019, 53 (2019). https://doi.org/10.1007/JHEP12(2019)053
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2019)053