New nonrenormalization theorem from UV/IR mixing

Abel, Steven; Dienes, Keith R.; Nutricati, Luca A.

Abstract

In this paper, we prove a new nonrenormalization theorem which arises from UV/IR mixing. This theorem and its corollaries are relevant for all four-dimensional perturbative tachyon-free closed string theories which can be realized from higher-dimensional theories via geometric compactifications. As such, our theorem therefore holds regardless of the presence or absence of spacetime supersymmetry and regardless of the gauge symmetries or matter content involved. This theorem resolves a hidden clash between modular invariance and the process of decompactification, and enables us to uncover a number of surprising phenomenological properties of these theories. Chief among these is the fact that certain physical quantities within such theories cannot exhibit logarithmic or power-law running and instead enter an effective fixed-point regime above the compactification scale. This cessation of running occurs as the result of the UV/IR mixing inherent in the theory. These effects apply not only for gauge couplings but also for the Higgs mass and other quantities of phenomenological interest, thereby eliminating the logarithmic and/or power-law running that might have otherwise appeared for such quantities. These results illustrate the power of UV/IR mixing to tame divergences—even without supersymmetry—and reinforce the notion that UV/IR mixing may play a vital role in resolving hierarchy problems without supersymmetry.

Citation

Abel, S., Dienes, K. R., & Nutricati, L. A. (2024). New nonrenormalization theorem from UV/IR mixing. Physical Review D, 110(12), https://doi.org/10.1103/physrevd.110.126021

• Journal Article Type: Article
• Acceptance Date: Sep 5, 2024
• Online Publication Date: Dec 20, 2024
• Publication Date: Dec 20, 2024
• Deposit Date: Jan 20, 2025
• Publicly Available Date: Jan 20, 2025
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 110
• Issue: 12
• DOI: https://doi.org/10.1103/physrevd.110.126021
• Public URL: https://durham-repository.worktribe.com/output/3343165