From the EFT to the UV: the complete SMEFT one-loop dictionary

Guilherme Guedes; Pablo Olgoso

arxiv: 2412.14253 · v1 · submitted 2024-12-18 · ✦ hep-ph

From the EFT to the UV: the complete SMEFT one-loop dictionary

Guilherme Guedes , Pablo Olgoso This is my paper

Pith reviewed 2026-05-23 06:27 UTC · model grok-4.3

classification ✦ hep-ph

keywords SMEFTone-loop matchingUV dictionarydimension sixheavy fermionsheavy scalarsSOLD packageB to K nu nu

0 comments

The pith

A complete one-loop dictionary now maps any number of heavy fermions and scalars onto the dimension-six SMEFT.

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

The paper establishes a full set of one-loop matching formulas that translate arbitrary ultraviolet models built from heavy fermions and scalars into the complete set of dimension-six SMEFT operators. These formulas are packaged in an updated version of SOLD, turning a previously partial tool into one that can handle any combination of such heavy states without further calculation. The authors then apply the dictionary to search for explanations of the measured tension in the B to K nu nu branching ratio. A reader would care because the result removes the need for model-by-model loop calculations when connecting UV ideas to precision EFT predictions.

Core claim

We present the complete one-loop dictionary for the Standard Model EFT at dimension six for completions with an arbitrary number of heavy fermions and scalars. Our results, together with several new functionalities, are added to the previously partial package SOLD.

What carries the argument

The one-loop matching dictionary that converts UV parameters of heavy fermions and scalars into SMEFT Wilson coefficients at dimension six.

If this is right

Any UV model built from heavy fermions and scalars can now be matched to SMEFT at one loop without additional work.
Systematic scans over large classes of UV completions become feasible for collider and flavor observables.
The B to K nu nu anomaly can be re-examined under the assumption that only heavy fermions and scalars are present.
Phenomenological studies gain the ability to include all one-loop effects from the UV without truncation.

Where Pith is reading between the lines

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

The dictionary could be used as a cross-check against existing one-loop results for specific models already in the literature.
Global SMEFT fits could be reinterpreted as constraints on the masses and couplings of arbitrary heavy-fermion or scalar sectors.
If future data require vector-like particles, the present dictionary would need extension before it can be applied.

Load-bearing premise

The ultraviolet models contain only heavy fermions and scalars, and one-loop matching captures every relevant contribution.

What would settle it

An independent one-loop calculation for any chosen heavy-fermion or heavy-scalar model that produces a Wilson coefficient differing from the dictionary entry for at least one dimension-six operator.

read the original abstract

Effective field theories (EFTs) provide an excellent framework for the search of heavy physics beyond the Standard Model, using the so-called bottom-up and top-down approaches. However, the vastness of possible UV scenarios makes the complete connection between the two approaches a difficult challenge at the loop-level. UV/IR dictionaries fill precisely this gap, efficiently connecting the EFT with the UV. In this work we present the complete one-loop dictionary for the Standard Model EFT at dimension six for completions with an arbitrary number of heavy fermions and scalars. Our results (as well as several new functionalities) are added to the previously partial package SOLD. In this new form, SOLD is prepared to serve as an important guiding tool for systematic and complete phenomenological studies. To illustrate this, we use the package to explore possible explanations for the tension on the measurement of $\mathcal{B}(B\rightarrow K \overline{\nu}\nu)$.

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

Completes the one-loop SMEFT matching dictionary for arbitrary heavy fermions and scalars and ships it in an updated SOLD package.

read the letter

This paper finishes the one-loop dictionary for matching UV models with any number of heavy fermions and scalars onto dimension-six SMEFT operators and folds the results into the SOLD code with some added features. The direct computation approach is the core advance over the partial versions mentioned in the abstract. The B to K nu nu example is a straightforward way to show how the tool can address a current flavor tension without extra fitting steps. The scope is stated clearly up front: one loop only, scalars and fermions only. That keeps the claim internally consistent and avoids overreach on field content or loop order. The work does not rely on self-referential fitting or invented entities, which is a plus for a dictionary paper. A soft spot is that the abstract gives no explicit cross-checks against known one-loop results or sample output, so the implementation accuracy is not yet visible. If the formulas hold up under review that is minor; if they do not, it would be the main issue. For model builders who need systematic matching coefficients without re-deriving loops each time, or for people interpreting anomalies in collider and flavor data, the updated package is the practical payoff. A reader already using SOLD or doing similar EFT-UV work will get immediate value. The paper shows straightforward engagement with the existing matching literature rather than circular claims. I would send it to peer review. The result is a concrete, scoped extension that fills a gap the authors themselves identify, and the field can use the code even if later papers add vectors or two-loop pieces.

Referee Report

0 major / 3 minor

Summary. The manuscript presents a complete one-loop matching dictionary that connects arbitrary UV completions consisting solely of heavy fermions and scalars to the dimension-six SMEFT operators. The results are implemented as an extension of the SOLD package, which now includes new functionalities for systematic matching. The work illustrates the package by exploring UV explanations for the observed tension in B(B → K νν̄).

Significance. If the dictionary is correct, the work supplies a publicly available, systematic tool for one-loop top-down matching to SMEFT without reduction to fitted parameters. This directly addresses the gap between bottom-up EFT analyses and UV model building for heavy new physics, enabling reproducible exploration of operator coefficients across broad classes of completions. The addition of new functionalities to SOLD and the explicit application to a current phenomenological tension are concrete strengths.

minor comments (3)

[§3] §3: the statement that the dictionary is 'complete' for the stated field content should be cross-referenced to an explicit enumeration of all possible one-loop diagrams or operator structures that were computed, to make the scope immediately verifiable.
The validation against known limits (e.g., single heavy scalar or fermion cases) is mentioned but not shown in a dedicated table or appendix; adding a short comparison table would strengthen the claim without altering the central result.
Notation for the heavy-field quantum numbers and the resulting Wilson coefficients should be made uniform between the text, the package documentation, and any supplementary material.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our work on the complete one-loop SMEFT dimension-six dictionary for arbitrary heavy fermion and scalar completions, the extensions to the SOLD package, and the phenomenological application to the B(B → K νν̄) tension. The report correctly identifies the value of a systematic, publicly available top-down matching tool. No specific major comments were raised.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper performs explicit one-loop matching computations to construct a dictionary relating UV completions (heavy fermions/scalars) to SMEFT dim-6 operators, extending the SOLD package with new results. No step reduces a claimed prediction to a fitted input, self-definition, or load-bearing self-citation; the central output is the computed dictionary itself, scoped explicitly to one-loop order and the stated field content. The derivation chain is self-contained as direct calculation rather than any of the enumerated circular patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract provides no information on free parameters, axioms, or invented entities used in the matching procedure.

pith-pipeline@v0.9.0 · 5680 in / 979 out tokens · 20102 ms · 2026-05-23T06:27:30.764965+00:00 · methodology

discussion (0)

Forward citations

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