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2012

Unconstraining the Unhiggs

Englert, Christoph, Spannowsky, Michael, Stancato, David et al.

Understand

We investigate whether or not perturbative unitarity is preserved in the Unhiggs model for the scattering process of heavy quarks and longitudinal gauge bosons $\bar q q \to V_L^+ V_L^-$.

With the Yukawa coupling given in the original formulation of the Unhiggs model, the model preserves unitarity for Unhiggs scaling dimensions $d\leq 1.5$.
We examine the LHC phenomenology that is implied by the Unhiggs model in this parameter range in detail and discuss to what extent the LHC can test $d$ if an excess is measured in the phenomenologically clean $ZZ$ channel in the future or if the LHC measurement remains consistent with the background.
We then make use of the AdS/CFT correspondence to derive a new Yukawa coupling that is conformally invariant at high energies, and show that with this Yukawa coupling the theory is unitary for $1 \leq d < 2$.

Built on

J. Neyman and E. S. Pearson, Philosophical Transactions of the Royal Society of London. Series A Vol. 231, (1933), pp. 289-337
1933
Earlier work this paper cites.
G.N. Watson,“Theory of Bessel Functions” University Press, Cambridge, 1952 (385)
1952
Earlier work this paper cites.
M. S. Chanowitz, M. A. Furman and I. Hinchliffe, Nucl. Phys. B 153
1979
Earlier work this paper cites.
S. Dawson, Nucl. Phys. B 249
1985
Earlier work this paper cites.
S. Mandelstam, Annals Phys. 19
1991
Earlier work this paper cites.
J. Ohnemus, Phys. Rev. D 44
1991
Earlier work this paper cites.
V. D. Barger, T. Han and J. Ohnemus, Phys. Rev. D 37
1995
Earlier work this paper cites.
ATLAS collaboration, ATLAS-CONF-2011-131, arXiv:1202.1415 [hep-ex]. CMS collaboration, CMS-HIG-11-015, arXiv:1202.1997 [hep-ex]
Original
1997
Earlier work this paper cites.
J. M. Maldacena, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
T. Junk, Nucl. Instrum. Meth. A 434
2000
Earlier work this paper cites.
A. L. Read, CERN-OPEN-2000-205. A. L. Read, J. Phys. G G28
2002
Earlier work this paper cites.
J.-C. Chollet et al
2003
Earlier work this paper cites.
R. Barate et al
2003
Earlier work this paper cites.
U. Baur and D. Zeppenfeld, Phys. Rev. Lett. 75
2004
Earlier work this paper cites.
H. M. Georgi, S. L. Glashow, M. E. Machacek and D. V. Nanopoulos, Phys. Rev. Lett. 40
2005
Earlier work this paper cites.