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2019

Positivity constraints on aQGC: carving out the physical parameter space

Bi, Qi, Zhang, Cen, Zhou, Shuang-Yong

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Searching for deviations in quartic gauge boson couplings (QGCs) is one of the main goals of the electroweak program at the LHC.

We consider positivity bounds adapted to the Standard Model, and show that a set of positivity constraints on 18 anomalous QGC couplings can be derived, by requiring that the vector boson scattering amplitudes of specific channels and polarisations satisfy the fundamental principles of quantum field theory.
We explicitly solve the positivity inequalities to remove their dependence on the polarisations of the external particles, and obtain 19 linear inequalities, 3 quadratic inequalities, and 1 quartic inequality that only involve the QGC parameters and the weak angle.
These inequalities constrain the possible directions in which deviations from the standard QGC can occur, and can be used to guide future experimental searches.

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A. Alloul, N. D. Christensen, C. Degrande, C. Duhr and B. Fuks, FeynRules 2.0 - A complete toolbox for tree-level phenomenology , Comput. Phys. Commun. 185
Original
1921
Earlier work this paper cites.
S. Weinberg, Phenomenological Lagrangians , Physica A96
1979
Earlier work this paper cites.
W. Buchmuller and D. Wyler, Effective Lagrangian Analysis of New Interactions and Flavor Conservation , Nucl. Phys. B268
1986
Earlier work this paper cites.
C. N. Leung, S. T. Love and S. Rao, Low-Energy Manifestations of a New Interaction Scale: Operator Analysis , Z. Phys. C31
1986
Earlier work this paper cites.
T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions , Comput. Phys. Commun. 118
1999
Earlier work this paper cites.
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3 , Comput. Phys. Commun. 140
2001
Earlier work this paper cites.
O. J. P. Eboli, M. C. Gonzalez-Garcia and J. K. Mizukoshi, p p → \rightarrow j j e+- mu+- nu nu and j j e+- mu-+ nu nu at O( alpha(em)**6) and O(alpha(em)**4 alpha(s)**2) for the study of the quartic electroweak gauge boson vertex at CERN LHC , Phys. Rev. D74
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10
2006
Earlier work this paper cites.

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Original
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