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Running away from the T-parameter solution to the W mass anomaly
High Energy Physics - Phenomenology · Submitted 28 Apr 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale.
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The abstract, sentence by sentence
We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale. This is because operators that are only weakly constrained--for instance those probed by diboson and Higgs data--can have a contribution to the W-boson mass via one-loop RG effects, that is comparable to the tree-level contribution of the much more strongly constrained operators related to electroweak precision observables. We RG evolve the low energy SMEFT parameter space consistent with the anomaly to the matching scale and find a much larger allowed region. In particular we find that it is possible to have a vanishing or even negative T -parameter at the matching scale. This will hopefully lead to a larger set of UV completions that can explain the anomaly. For the one-loop contributions to be important a relatively low new physics scale around 800 GeV is required. This enhances the possibility of probing this new physics in direct and indirect searches in the recent future.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale. | result 0.53 | 0.68 | 0.73 | asserted 1.00 |
| s1 | This is because operators that are only weakly constrained--for instance those probed by diboson and Higgs data--can have a contribution to the W-boson mass via one-loop RG effects, that is comparable to the tree-level contribution of the much more strongly constrained operators related to electroweak precision observables. | interpretation 0.66 | 0.40 | 0.14 | asserted 0.96 |
| s2 | We RG evolve the low energy SMEFT parameter space consistent with the anomaly to the matching scale and find a much larger allowed region. | result 0.89 | 0.97 | 0.35 | asserted 1.00 |
| s3 | In particular we find that it is possible to have a vanishing or even negative T -parameter at the matching scale. | result 1.00 | 0.96 | 0.24 | asserted 0.89 |
| s4 | This will hopefully lead to a larger set of UV completions that can explain the anomaly. | interpretation 0.96 | 0.13 | 0.09 | hedged possibility 0.64 |
| s5 | For the one-loop contributions to be important a relatively low new physics scale around 800 GeV is required. | result 0.86 | 0.82 | 0.06 | asserted 0.87 |
| s6 | This enhances the possibility of probing this new physics in direct and indirect searches in the recent future. | interpretation 0.92 | 0.21 | 0.06 | hedged possibility 0.94 |
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The paper
Original abstract
We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale. This is because operators that are only weakly constrained--for instance those probed by diboson and Higgs data--can have a contribution to the W-boson mass via one-loop RG effects, that is comparable to the tree-level contribution of the much more strongly constrained operators related to electroweak precision observables. We RG evolve the low energy SMEFT parameter space consistent with the anomaly to the matching scale and find a much larger allowed region. In particular we find that it is possible to have a vanishing or even negative T -parameter at the matching scale. This will hopefully lead to a larger set of UV completions that can explain the anomaly. For the one-loop contributions to be important a relatively low new physics scale around 800 GeV is required. This enhances the possibility of probing this new physics in direct and indirect searches in the recent future.
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How the literature uses it
18 arXiv papers cite this in 18 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 11 papers
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The possible new physics explanations of this discrepancy have been extensively studied afterwards [ref] .
Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model · Introduction · 0.99
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There have been multiple proposals exploring a plethora of BSM solutions (see, e.g., [ref] ) along with various proposed corrections to electroweak (EW) precision observables (see [ref] and references therein), to address the discrepancy.
A twisted tale of the transverse-mass tail · Introduction · 0.97
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There are several papers [ref] have appeared that also study the impact of the new $m_W$ measurement on the new physics scenarios, especially on the SMEFT fit and oblique parameters.
Probing Top-quark Operators with Precision Electroweak Measurements · Impacts of the new $W$-mass measurement at CDF · 0.95
What it cites · 29 sentences without a confident label
Uses data or values from 4 papers
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For the LHC bounds shown in yellow we have used the analysis of Ref. [ref] , which also constrains $|λ_γ]≲0.01$.
Diboson at the LHC vs LEP · Operators for universal new physics and current constraints · 0.96
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In Ref. [ref] a combined fit yields the following 95$%$ CL bounds, -0.03 ≤ δκ_V≤0.13 -0.13 ≤ δκ_f≤0.23,
Combined measurements of Higgs boson production and decay using up to $80$ fb$^{-1}$ of proton-proton collision data at $\sqrt{s}=$ 13 TeV collected with the ATLAS experiment · Operators for universal new physics and current constraints · 0.99
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We also show, in Fig. [ref], the bounds reported by ATLAS from the $WW$ process [ref] and by CMS from the $WZ$ process [ref] .
Measurement of fiducial and differential $W^+W^-$ production cross-sections at $\sqrt{s}=$13 TeV with the ATLAS detector · Operators for universal new physics and current constraints · 0.83
Compares with 1 paper
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It is worth emphasising that the scale of new physics, $Λ∼800$ GeV considered here is much smaller than the $O$ (6 TeV) scale [ref] required if UV contributions to the $Ŝ$ and $T̂$ parameters are to entirely explain the anomaly.
Interpreting electroweak precision data including the $W$-mass CDF anomaly · RG evolution of constraints to matching scale · 0.87
Cites as support 3 papers
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In fact, irrespective of the value of the other Wilson coefficients, it is difficult to obtain a very good fit to the data without some positive $T$ contribution (see for instance Ref. [ref] ).
Interpreting electroweak precision data including the $W$-mass CDF anomaly · Introduction · 0.96
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In fact, irrespective of the value of the other Wilson coefficients, it is difficult to obtain a very good fit to the data without some positive $T$ contribution (see for instance Ref. [ref] ).
SMEFT Analysis of $m_{W}$ · Introduction · 0.96
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In fact, irrespective of the value of the other Wilson coefficients, it is difficult to obtain a very good fit to the data without some positive $T$ contribution (see for instance Ref. [ref] ).
On the implications of positive W mass shift · Introduction · 0.96
Cites as background 53 papers
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This has led to multiple proposals [ref] exploring a BSM solution to this discrepancy.
Inert Higgs Dark Matter for CDF-II W-boson Mass and Detection Prospects · Introduction · 0.97
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This has led to multiple proposals [ref] exploring a BSM solution to this discrepancy.
Explaining the GeV antiproton/$\gamma-$ray excesses and W-boson mass anomaly in an inert two Higgs doublet model · Introduction · 0.97
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This has led to multiple proposals [ref] exploring a BSM solution to this discrepancy.
Electroweak Precision Fit and New Physics in light of $W$ Boson Mass · Introduction · 0.97
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