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Unitarity bounds on charged/neutral state mass ratio
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abstract
In this letter, we study the implications of unitary completion of quantum gravity on the low energy spectrums, through an infinite set of unitarity bounds on the forward-limit scattering amplitudes. In three dimensions, we find that light states with charge-to-mass ratio $z$ greater than $1$ can only be consistent if there exists other light states, preferably neutral. Applied to the compactification of the Standard Model, where the low energy couplings are dominated by the electron with $|z|\sim 10^{22}$, this provides a novel understanding of the need for light neutrinos.
Forward citations
Cited by 3 Pith papers
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Running Love Numbers and the Effective Field Theory of Gravity
Higher-derivative gravity corrections induce non-zero, classically running tidal Love numbers for black holes, computed here with a new tidal Green function method.
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Superstring Amplitudes, Unitarity, and Hankel Determinants of Multiple Zeta Values
Unitarity of four-particle superstring tree amplitudes implies that Hankel matrices built from low-energy coefficients are totally positive, yielding new inequalities involving multiple zeta values, including irreduci...
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Shift symmetries, soft limits, and the double copy beyond leading order
For higher-derivative corrections, shift symmetry no longer guarantees double-copy compatibility; even-point amplitudes can be made compatible by tuning coefficients, odd-point ones cannot.
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