The number of massless fermion modes in latticized theory-space models equals the cardinality of the maximum matching in the bipartite graph of mass terms, with support given by the Dulmage-Mendelsohn decomposition.
A Clockwork Theory
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The clockwork is a mechanism for generating light particles with exponentially suppressed interactions in theories which contain no small parameters at the fundamental level. We develop a general description of the clockwork mechanism valid for scalars, fermions, gauge bosons, and gravitons. This mechanism can be implemented with a discrete set of new fields or, in its continuum version, through an extra spatial dimension. In both cases the clockwork emerges as a useful tool for model-building applications. Notably, the continuum clockwork offers a solution to the Higgs naturalness problem, which turns out to be the same as in linear dilaton duals of Little String Theory. We also elucidate the similarities and differences of the continuum clockwork with large extra dimensions and warped spaces. All clockwork models, in the discrete and continuum, exhibit novel phenomenology with a distinctive spectrum of closely spaced resonances.
fields
hep-ph 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Projections for IAXO in two-axion parameter space plus spectral analysis of flavor oscillations show where the experiment can discriminate multi-axion signals from single-axion ones, extending to N-axion cases.
Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.
citing papers explorer
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Graph-theoretic determination of massless modes in latticized theory-space models
The number of massless fermion modes in latticized theory-space models equals the cardinality of the maximum matching in the bipartite graph of mass terms, with support given by the Dulmage-Mendelsohn decomposition.
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Counting axions with IAXO
Projections for IAXO in two-axion parameter space plus spectral analysis of flavor oscillations show where the experiment can discriminate multi-axion signals from single-axion ones, extending to N-axion cases.
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Emerging Nonlocal K\"{a}ll\`{e}n-Lehmann Higgs Spectra at the LHC
Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.