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How to test for mass degenerate Higgs resonances

The Higgs-like signal observed at the LHC could be due to several mass degenerate resonances. We show that the number of resonances is related to the rank of a “production and decay” matrix, R _if . Each entry in this matrix contains the observed rate in a particular production mode i and final state f. In the case of N non-interfering resonances, the rank of R is, at most, N. If interference plays a role, the maximum rank is generically N ², or with a universal phase, N(N + 1)/2. As an illustration we use the present experimental data to constrain the rank of the corresponding matrix. We estimate the LHC reach of probing two and three resonances under various speculations on future measurements and uncertainties.

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1. Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, NY, U.S.A.

   Yuval Grossman

2. C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, 11794, U.S.A.

   Ze’ev Surujon

3. Department of Physics, University of Cincinnati, Cincinnati, OH, 45221, U.S.A.

   Jure Zupan

1. Yuval Grossman
2. Ze’ev Surujon
3. Jure Zupan

Correspondence to Ze’ev Surujon.

ArXiv ePrint: 1301.0328

Grossman, Y., Surujon, Z. & Zupan, J. How to test for mass degenerate Higgs resonances. J. High Energ. Phys. 2013, 176 (2013). https://doi.org/10.1007/JHEP03(2013)176

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• Received: 14 January 2013

• Accepted: 09 March 2013

• Published: 29 March 2013

• DOI: https://doi.org/10.1007/JHEP03(2013)176

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