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Published on: August 4, 2023
New probe of naturalness
Nathaniel Craig1, Christoph Englert, Matthew McCullough
1Institute for Advanced Study, Princeton, New Jersey 08540, USA and Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA.
New scalar fields solving the hierarchy problem modify Higgs boson couplings. Precision Higgs boson measurements at colliders can probe these solutions and test electroweak naturalness.
Area of Science:
- High Energy Physics
- Particle Physics
- Cosmology
Background:
- The hierarchy problem, concerning the large discrepancy between the electroweak scale and the Planck scale, remains a significant puzzle in particle physics.
- Scalar fields are proposed to stabilize the Higgs boson mass and resolve the hierarchy problem through perturbative mechanisms.
- These scalar fields can introduce new contributions to the Higgs boson field-strength renormalization.
Purpose of the Study:
- To investigate the impact of new scalar fields on Higgs boson properties.
- To explore how these modifications can be experimentally probed.
- To establish a connection between solutions to the hierarchy problem and precision Higgs measurements.
Main Methods:
- Analyzing the effects of new scalar fields on Higgs boson field-strength renormalization.
- Calculating the resulting modifications to Higgs boson couplings.
- Proposing precision measurements at lepton colliders, specifically Higgs boson associated production cross-section measurements.
Main Results:
- New scalar fields, regardless of their gauge representation, lead to physical contributions to Higgs boson field-strength renormalization.
- These contributions are directly linked to the cancellation of quadratic divergences and the resolution of the hierarchy problem.
- The induced modifications in Higgs couplings are substantial enough for experimental probing.
Conclusions:
- Precision Higgs boson programs, particularly at lepton colliders, can thoroughly probe the hierarchy problem and electroweak naturalness.
- Indirect constraints can be placed on perturbative solutions to the hierarchy problem, even for gauge singlet scalar fields.
- Experimental verification of these modified Higgs couplings would provide crucial insights into physics beyond the Standard Model.
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