Abstract
The technicolor scenario replaces the Higgs sector of the standard model with a strongly interacting sector. One candidate for a realization of such a sector is two-technicolor Yang-Mills theory coupled to two degenerate flavors of adjoint, massless techniquarks.
Using lattice gauge theory the properties of the technigluons in this scenario are investigated as a function of the techniquark mass towards the massless limit. For that purpose the minimal Landau gauge two-point and three-point correlation functions are determined, including a detailed systematic error analysis.
The results are, within the relatively large systematic uncertainties, compatible with a behavior very similar to QCD at finite techniquark mass. However, the limit of massless techniquarks exhibits features which could be compatible with a (quasi-)conformal behavior.
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References
D.E. Morrissey, T. Plehn and T.M.P. Tait, Physics searches at the LHC, arXiv:0912.3259 [SPIRES].
D.J.E. Callaway, Triviality pursuit: can elementary scalar particles exist?, Phys. Rept. 167 (1988) 241 [SPIRES].
M. Bohm, A. Denner and H. Joos, Gauge theories of the strong and electroweak interaction, Teubner, Stuttgart Germany (2001), p. 784.
F. Sannino, Conformal dynamics for TeV physics and cosmology, Acta Phys. Polon. B 40 (2009) 3533 [arXiv:0911.0931] [SPIRES].
C.T. Hill and E.H. Simmons, Strong dynamics and electroweak symmetry breaking, Phys. Rept. 381 (2003) 235 [hep-ph/0203079] [SPIRES].
K. Lane, Two lectures on technicolor, hep-ph/0202255 [SPIRES].
L. Del Debbio, B. Lucini, A. Patella, C. Pica and A. Rago, Mesonic spectroscopy of Minimal Walking Technicolor, Phys. Rev. D 82 (2010) 014509 [arXiv:1004.3197] [SPIRES].
L. Del Debbio, B. Lucini, A. Patella, C. Pica and A. Rago, The infrared dynamics of Minimal Walking Technicolor, Phys. Rev. D 82 (2010) 014510 [arXiv:1004.3206] [SPIRES].
F. Bursa, L. Del Debbio, L. Keegan, C. Pica and T. Pickup, Mass anomalous dimension in SU(2) with two adjoint fermions, Phys. Rev. D 81 (2010) 014505 [arXiv:0910.4535] [SPIRES].
L. Del Debbio, B. Lucini, A. Patella, C. Pica and A. Rago, Conformal vs. confining scenario in SU(2) with adjoint fermions, Phys. Rev. D 80 (2009) 074507 [arXiv:0907.3896] [SPIRES].
S. Catterall, J. Giedt, F. Sannino and J. Schneible, Phase diagram of SU(2) with 2 flavors of dynamical adjoint quarks, JHEP 11 (2008) 009 [arXiv:0807.0792] [SPIRES].
S. Catterall and F. Sannino, Minimal walking on the lattice, Phys. Rev. D 76 (2007) 034504 [arXiv:0705.1664] [SPIRES].
A.J. Hietanen, J. Rantaharju, K. Rummukainen and K. Tuominen, Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours, JHEP 05 (2009) 025 [arXiv:0812.1467] [SPIRES].
A.J. Hietanen, K. Rummukainen and K. Tuominen, Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions, Phys. Rev. D 80 (2009) 094504 [arXiv:0904.0864] [SPIRES].
T. DeGrand and A. Hasenfratz, Remarks on lattice gauge theories with infrared-attractive fixed points, Phys. Rev. D 80 (2009) 034506 [arXiv:0906.1976] [SPIRES].
T. DeGrand, Y. Shamir and B. Svetitsky, Infrared fixed point in SU(2) gauge theory with adjoint fermions, Phys. Rev. D 83 (2011) 074507 [arXiv:1102.2843] [SPIRES].
B. Lucini, Strongly interacting dynamics beyond the standard model on a spacetime lattice, arXiv:0911.0020 [SPIRES].
S. Catterall, J. Giedt, F. Sannino and J. Schneible, Probes of nearly conformal behavior in lattice simulations of minimal walking technicolor, arXiv:0910.4387 [SPIRES].
Y. Frishman and J. Sonnenschein, Non-perturbative field theory: from two-dimensional conformal field theory to QCD in four dimensions, Cambridge University Press, Cambridge U.K. (2010).
R. Alkofer and L. von Smekal, The infrared behavior of QCD Green’s functions: confinement, dynamical symmetry breaking and hadrons as relativistic bound states, Phys. Rept. 353 (2001) 281 [hep-ph/0007355] [SPIRES].
C.S. Fischer, Infrared properties of QCD from Dyson-Schwinger equations, J. Phys. G 32 (2006) R253 [hep-ph/0605173] [SPIRES].
A. Maas, Gauges, propagators and physics, arXiv:1011.5409 [SPIRES].
R. Alkofer, C.S. Fischer and R. Williams, U A (1) anomaly and η′ mass from an infrared singular quark-gluon vertex, Eur. Phys. J. A 38 (2008) 53 [arXiv:0804.3478] [SPIRES].
J. Braun, L.M. Haas, F. Marhauser and J.M. Pawlowski, Phase structure of two-flavor QCD at finite chemical potential, Phys. Rev. Lett. 106 (2011) 022002 [arXiv:0908.0008] [SPIRES].
C.S. Fischer, A. Maas and J.A. Muller, Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3), Eur. Phys. J. C 68 (2010) 165 [arXiv:1003.1960] [SPIRES].
M. Blank, A. Krassnigg and A. Maas, Rho-meson, Bethe-Salpeter equation and the far infrared, Phys. Rev. D 83 (2011) 034020 [arXiv:1007.3901] [SPIRES].
J.M. Pawlowski, The QCD phase diagram: results and challenges, arXiv:1012.5075 [SPIRES].
D. Binosi and J. Papavassiliou, Pinch technique: theory and applications, Phys. Rept. 479 (2009) 1 [arXiv:0909.2536] [SPIRES].
D. Dudal, M.S. Guimaraes and S.P. Sorella, Glueball masses from an infrared moment problem and nonperturbative Landau gauge, Phys. Rev. Lett. 106 (2011) 062003 [arXiv:1010.3638] [SPIRES].
V. Elias and M.D. Scadron, Scalar boson masses in dynamically broken gauge theories, Phys. Rev. Lett. 53 (1984) 1129 [SPIRES].
H. Gies and J. Jaeckel, Chiral phase structure of QCD with many flavors, Eur. Phys. J. C 46 (2006) 433 [hep-ph/0507171] [SPIRES].
J. Braun and H. Gies, Scaling laws near the conformal window of many-flavor QCD, JHEP 05 (2010) 060 [arXiv:0912.4168] [SPIRES].
A.C. Aguilar and J. Papavassiliou, Chiral symmetry breaking with lattice propagators, Phys. Rev. D 83 (2011) 014013 [arXiv:1010.5815] [SPIRES].
A. Doff and A.A. Natale, Scalar bosons in minimal and ultraminimal technicolor: masses, trilinear couplings and widths, Phys. Rev. D 81 (2010) 095014 [arXiv:0912.1003] [SPIRES].
J. Braun, C.S. Fischer and H. Gies, Beyond Miransky scaling, arXiv:1012.4279 [SPIRES].
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] [SPIRES].
A. Maas, More on Gribov copies and propagators in Landau-gauge Yang-Mills theory, Phys. Rev. D 79 (2009) 014505 [arXiv:0808.3047] [SPIRES].
A. Cucchieri, A. Maas and T. Mendes, Exploratory study of three-point Green’s functions in Landau-gauge Yang-Mills theory, Phys. Rev. D 74 (2006) 014503 [hep-lat/0605011] [SPIRES].
C.S. Fischer, A. Maas and J.M. Pawlowski, On the infrared behavior of Landau gauge Yang-Mills theory, Annals Phys. 324 (2009) 2408 [arXiv:0810.1987] [SPIRES].
V.N. Gribov, Quantization of non-abelian gauge theories, Nucl. Phys. B 139 (1978) 1 [SPIRES].
I.M. Singer, Some remarks on the Gribov ambiguity, Commun. Math. Phys. 60 (1978) 7 [SPIRES].
A. Cucchieri and T. Mendes, Critical slowing-down in SU(2) Landau gauge-fixing algorithms, Nucl. Phys. B 471 (1996) 263 [hep-lat/9511020] [SPIRES].
A. Maas, On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators, JHEP 02 (2011) 076 [arXiv:1012.4284] [SPIRES].
L. von Smekal, K. Maltman and A. Sternbeck, The strong coupling and its running to four loops in a minimal MOM scheme, Phys. Lett. B 681 (2009) 336 [arXiv:0903.1696] [SPIRES].
L. von Smekal, A. Hauck and R. Alkofer, A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge, Ann. Phys. 267 (1998) 1 [hep-ph/9707327] [SPIRES].
P. Cvitanović, Group theory, Princeton University Press, Princeton U.S.A. (2008).
A. Cucchieri, T. Mendes and A. Mihara, Numerical study of the ghost-gluon vertex in Landau gauge, JHEP 12 (2004) 012 [hep-lat/0408034] [SPIRES].
J.S. Ball and T.-W. Chiu, Analytic properties of the vertex function in gauge theories. 2, Phys. Rev. D 22 (1980) 2550 [SPIRES].
A. Maas, Two- and three-point Green’s functions in two-dimensional Landau-gauge Yang-Mills theory, Phys. Rev. D 75 (2007) 116004 [arXiv:0704.0722] [SPIRES].
A. Cucchieri and T. Mendes, Infrared behavior of gluon and ghost propagators from asymmetric lattices, Phys. Rev. D 73 (2006) 071502 [hep-lat/0602012] [SPIRES].
A. Cucchieri, A. Maas and T. Mendes, Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature, Phys. Rev. D 75 (2007) 076003 [hep-lat/0702022] [SPIRES].
P.J. Silva and O. Oliveira, Infrared gluon propagator from lattice QCD: results from large asymmetric lattices, Phys. Rev. D 74 (2006) 034513 [hep-lat/0511043] [SPIRES].
A. Cucchieri and T. Mendes, Constraints on the IR behavior of the ghost propagator in Yang-Mills theories, Phys. Rev. D 78 (2008) 094503 [arXiv:0804.2371] [SPIRES].
A. Cucchieri and T. Mendes, Constraints on the IR behavior of the gluon propagator in Yang-Mills theories, Phys. Rev. Lett. 100 (2008) 241601 [arXiv:0712.3517] [SPIRES].
V.G. Bornyakov, V.K. Mitrjushkin and M. Muller-Preussker, SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m IR, Phys. Rev. D 81 (2010) 054503 [arXiv:0912.4475] [SPIRES].
I.L. Bogolubsky, E.M. Ilgenfritz, M. Muller-Preussker and A. Sternbeck, Lattice gluodynamics computation of Landau gauge Green’s functions in the deep infrared, Phys. Lett. B 676 (2009) 69 [arXiv:0901.0736] [SPIRES].
C.S. Fischer, A. Maas, J.M. Pawlowski and L. von Smekal, Large volume behaviour of Yang-Mills propagators, Annals Phys. 322 (2007) 2916 [hep-ph/0701050] [SPIRES].
A. Cucchieri, A. Maas and T. Mendes, Three-point vertices in Landau-gauge Yang-Mills theory, Phys. Rev. D 77 (2008) 094510 [arXiv:0803.1798] [SPIRES].
W. Schleifenbaum, A. Maas, J. Wambach and R. Alkofer, Infrared behaviour of the ghost gluon vertex in Landau gauge Yang-Mills theory, Phys. Rev. D 72 (2005) 014017 [hep-ph/0411052] [SPIRES].
E.M. Ilgenfritz, M. Muller-Preussker, A. Sternbeck, A. Schiller and I.L. Bogolubsky, Landau gauge gluon and ghost propagators from lattice QCD, Braz. J. Phys. 37 (2007) 193 [hep-lat/0609043] [SPIRES].
C.S. Fischer and J.M. Pawlowski, Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II, Phys. Rev. D 80 (2009) 025023 [arXiv:0903.2193] [SPIRES].
R. Alkofer, M.Q. Huber and K. Schwenzer, Infrared singularities in Landau gauge Yang-Mills theory, Phys. Rev. D 81 (2010) 105010 [arXiv:0801.2762] [SPIRES].
A. Cucchieri, Numerical study of the fundamental modular region in the minimal Landau gauge, Nucl. Phys. B 521 (1998) 365 [hep-lat/9711024] [SPIRES].
A. Cucchieri and T. Mendes, Further investigation of massive Landau-gauge propagators in the infrared limit, PoS(LATTICE 2010)280 [arXiv:1101.4537] [SPIRES].
W. Kamleh, P.O. Bowman, D.B. Leinweber, A.G. Williams and J. Zhang, Unquenching effects in the quark and gluon propagator, Phys. Rev. D 76 (2007) 094501 [arXiv:0705.4129] [SPIRES].
A. Maas, Constructing non-perturbative gauges using correlation functions, Phys. Lett. B 689 (2010) 107 [arXiv:0907.5185] [SPIRES].
D. Zwanziger, Fundamental modular region, Boltzmann factor and area law in lattice gauge theory, Nucl. Phys. B 412 (1994) 657 [SPIRES].
V.G. Bornyakov, V.K. Mitrjushkin and M. Müller-Preussker, Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory, Phys. Rev. D 79 (2009) 074504 [arXiv:0812.2761] [SPIRES].
A. Maas, On gauge fixing, PoS(LATTICE 2010)279 [arXiv:1010.5718] [SPIRES].
A. Cucchieri, Gribov copies in the minimal Landau gauge: the influence on gluon and ghost propagators, Nucl. Phys. B 508 (1997) 353 [hep-lat/9705005] [SPIRES].
A. Maas, Accessing directly the properties of fundamental scalars in the confinement and Higgs phase, Eur. Phys. J. C 71 (2011) 1548 [arXiv:1007.0729] [SPIRES].
A. Sternbeck and L. von Smekal, Infrared exponents and the strong-coupling limit in lattice Landau gauge, Eur. Phys. J. C 68 (2010) 487 [arXiv:0811.4300] [SPIRES].
C. Gattringer and C.B. Lang, Quantum chromodynamics on the lattice, Lecture Notes in Physics, volume 788, Springer, U.S.A. (2010).
V.A. Miransky, Dynamics in the conformal window in QCD like theories, Phys. Rev. D 59 (1999) 105003 [hep-ph/9812350] [SPIRES].
R. Brun and F. Rademakers, ROOT: an object oriented data analysis framework, Nucl. Instrum. Meth. A 389 (1997) 81 [SPIRES].
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Maas, A. On the gauge boson’s properties in a candidate technicolor theory. J. High Energ. Phys. 2011, 77 (2011). https://doi.org/10.1007/JHEP05(2011)077
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DOI: https://doi.org/10.1007/JHEP05(2011)077