arxiv: 2605.10338 · v1 · submitted 2026-05-11 · 🌀 gr-qc · hep-ph· hep-th

Recognition: no theorem link

Fifth-Force Constraints from UV-Complete Scalar-Tensor Gravity

Alfio M. Bonanno , Emiliano M. Glaviano

Authors on Pith no claims yet

Pith reviewed 2026-05-12 05:15 UTC · model grok-4.3

classification 🌀 gr-qc hep-phhep-th

keywords fifth forcesscalar-tensor gravityrenormalization group flowUV completenessYukawa correctionbroken phaseO(N) scalar models

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The pith

UV-complete scalar-tensor gravity restricts fifth-force parameters to a narrow wedge, ruling out much of the space still allowed by experiments.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines an O(N) scalar multiplet nonminimally coupled to gravity and follows its renormalization-group flow near an interacting fixed point that makes the theory ultraviolet complete. In the broken phase the radial mode produces a universal Yukawa correction to Newtonian gravity, parametrized by a strength α and a range λ. Requiring that the flow trajectories remain regular and reach the ultraviolet scaling regime confines the allowed infrared values of α and λ to a finite wedge in the parameter plane. The complementary region is excluded by ultraviolet completeness alone. Part of this excluded region still lies inside current experimental bounds, so more precise fifth-force measurements can test the models directly.

Core claim

Imposing ultraviolet completeness on the renormalization-group flow of an O(N) scalar multiplet nonminimally coupled to gravity restricts the infrared values of the Yukawa strength α and range λ of the fifth force mediated by the radial mode to a finite wedge in the (α, λ) plane. The complement of this wedge is ruled out by the requirement that trajectories reach the interacting ultraviolet-complete scaling regime. A portion of this theoretically excluded domain lies below current experimental exclusion envelopes.

What carries the argument

Regular renormalization-group trajectories that reach the interacting ultraviolet-complete fixed point, which map directly to a restricted wedge of allowed infrared values for the Yukawa parameters α and λ.

If this is right

Only a narrow wedge in the (α, λ) plane is compatible with ultraviolet-complete renormalization-group trajectories.
Part of the region excluded by this wedge remains allowed by existing fifth-force experiments.
Improved fifth-force searches can probe the ultraviolet-excluded domain and potentially falsify the models.
The Yukawa correction is universal and arises from the radial mode in the broken phase.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The ultraviolet constraint supplies a theoretical prior that can narrow the targets for next-generation fifth-force experiments.
Non-detection inside the allowed wedge would not disprove the models but would further restrict the possible coupling values.
Analogous restrictions from ultraviolet completeness may apply to other scalar-tensor theories with different field content.

Load-bearing premise

The infrared values of the Yukawa strength α and range λ are fixed solely by the condition that renormalization-group trajectories remain regular and reach the ultraviolet-complete fixed point without further adjustments in the broken phase.

What would settle it

Detection of a fifth force whose strength α and range λ lie outside the ultraviolet-allowed wedge would falsify the ultraviolet-completeness condition for this class of models.

Figures

Figures reproduced from arXiv: 2605.10338 by Alfio M. Bonanno, Emiliano M. Glaviano.

**Figure 2.** Figure 2: FIG. 2. Constraints on Yukawa-type fifth forces in the ( [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗

read the original abstract

We study an $O(N)$ scalar multiplet nonminimally coupled to gravity and follow its renormalization-group (RG) flow in the vicinity of an interacting, nonperturbatively UV-complete scaling regime of scalar-tensor theory. In the broken phase, the radial mode mediates a universal Yukawa correction to Newtonian gravity, parametrized by a strength $\alpha$ and range $\lambda$. Imposing UV completeness -- regular RG trajectories that reach the UV scaling regime -- restricts the infrared data to a finite wedge, which maps to a narrow region in the $(\alpha,\lambda)$ plane. Its complement is, therefore, ruled out by UV completeness alone. Remarkably, part of this theory-excluded domain lies below current experimental exclusion envelopes, so improved fifth-force searches can directly test and potentially falsify this class of UV-complete scalar-tensor models.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper shows that UV-complete RG trajectories in non-minimally coupled scalar-tensor gravity restrict the allowed (α, λ) fifth-force parameters to a narrow wedge, with part of the excluded region still below current lab bounds.

read the letter

This paper follows the RG flow of an O(N) scalar multiplet non-minimally coupled to gravity near an interacting UV fixed point. In the broken phase the radial mode generates a Yukawa correction to Newtonian gravity, parametrized by strength α and range λ. Requiring regular trajectories that reach the UV regime limits the infrared starting values to a finite wedge, which then maps onto a restricted band in the (α, λ) plane. Some of the theory-excluded area lies outside existing experimental limits, so the claim is that better fifth-force searches could test these UV-complete models directly.

Referee Report

1 major / 2 minor

Summary. The paper studies an O(N) scalar multiplet nonminimally coupled to gravity and follows its renormalization-group flow near an interacting, nonperturbatively UV-complete scaling regime. In the broken phase the radial mode mediates a universal Yukawa correction to Newtonian gravity parametrized by strength α and range λ. Imposing UV completeness (regular RG trajectories reaching the UV fixed point) restricts the infrared data to a finite wedge that maps to a narrow region in the (α, λ) plane; the complement is ruled out by UV completeness alone, and part of this excluded domain lies below current experimental bounds.

Significance. If the mapping from UV trajectories to the broken-phase parameters is rigorous, the result is significant: it supplies a theory-derived prior on fifth-force parameters that is independent of experimental data and partially overlaps with regions still allowed by present searches. This provides a concrete, falsifiable link between asymptotic-safety consistency conditions and low-energy phenomenology, strengthening the case that UV-complete scalar-tensor models can be directly tested by improved fifth-force experiments.

major comments (1)

[RG flow and fixed-point analysis] The central claim that UV completeness restricts the allowed values to a narrow wedge in the (α, λ) plane rests on the location of the interacting UV fixed point and the dimensionality of its critical surface. The manuscript does not supply the explicit beta functions, the numerical coordinates of the fixed point, or the step-by-step numerical procedure that maps regular UV trajectories onto the infrared parameters α and λ. Without these elements the restriction cannot be independently verified and the soundness of the mapping remains unconfirmed.

minor comments (2)

[Introduction and abstract] Define the precise relation between the Yukawa parameters α, λ and the scalar potential/non-minimal coupling at the first appearance of these symbols.
[Results] Include a figure or table that explicitly displays the allowed wedge in the (α, λ) plane together with current experimental exclusion contours.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their positive assessment of the significance of our work and for the constructive comment on the RG analysis. We address the major comment below and will revise the manuscript to incorporate the requested details.

read point-by-point responses

Referee: The central claim that UV completeness restricts the allowed values to a narrow wedge in the (α, λ) plane rests on the location of the interacting UV fixed point and the dimensionality of its critical surface. The manuscript does not supply the explicit beta functions, the numerical coordinates of the fixed point, or the step-by-step numerical procedure that maps regular UV trajectories onto the infrared parameters α and λ. Without these elements the restriction cannot be independently verified and the soundness of the mapping remains unconfirmed.

Authors: We thank the referee for this observation. The beta functions were obtained from the functional renormalization group equation applied to our truncation, but their explicit form, the numerical fixed-point coordinates, and the detailed integration procedure were not included in the original manuscript. We agree that these elements are necessary for independent verification of the mapping from UV trajectories to the infrared parameters α and λ. In the revised manuscript we will add a new appendix containing the complete beta functions for the relevant couplings, the numerical coordinates of the interacting UV fixed point (including the number of relevant directions that determines the dimensionality of the critical surface), and a step-by-step description of the numerical procedure used to select regular trajectories and extract the corresponding values of α and λ. These additions will allow the restricted wedge in the (α, λ) plane to be reproduced and verified directly. revision: yes

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The paper's central claim follows from standard RG analysis: an interacting UV fixed point possesses a finite-dimensional critical surface, so only a restricted set of IR trajectories are allowed. This projects to a wedge in broken-phase parameters (α, λ) via the usual mapping of couplings to the Yukawa strength and range. No step reduces by construction to a fit, self-definition, or load-bearing self-citation; the UV fixed point and its critical surface are determined from the beta functions of the model, and the mapping to fifth-force observables is a direct computation. The argument is self-contained against external benchmarks and does not invoke uniqueness theorems or ansätze from prior self-work in a circular manner.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the existence of an interacting UV-complete fixed point for the non-minimally coupled O(N) scalar-tensor theory and on the assumption that the radial mode in the broken phase produces a standard Yukawa correction whose parameters are fixed by the IR endpoint of regular RG trajectories.

axioms (2)

domain assumption Existence of an interacting, nonperturbatively UV-complete scaling regime (fixed point) in the RG flow of the O(N) scalar-tensor theory.
Invoked in the abstract as the target of regular RG trajectories; no independent derivation or citation to a machine-checked proof is given.
domain assumption In the broken phase the radial mode mediates a universal Yukawa correction to Newtonian gravity parametrized by strength α and range λ.
Standard result in scalar-tensor theories but treated as given for the mapping step.

pith-pipeline@v0.9.0 · 5444 in / 1680 out tokens · 44322 ms · 2026-05-12T05:15:19.325356+00:00 · methodology

discussion (0)

Reference graph

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