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arxiv: 2606.19202 · v1 · pith:V3Y5RCZVnew · submitted 2026-06-17 · ✦ hep-ph

Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II

Supratim Das Bakshi , Mikael Chala , Zhe Ren This is my paper

Pith reviewed 2026-06-26 20:13 UTC · model grok-4.3

classification ✦ hep-ph
keywords SMEFTrenormalizationdimension eightone-loop mixingtwo-fermion operatorsbosonic operatorseffective field theory
0
0 comments X

The pith

The one-loop mixing of bosonic and two-fermion interactions into two-fermion operators has been computed in dimension-eight SMEFT.

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

This paper calculates the one-loop mixing where bosonic operators and two-fermion interactions contribute to two-fermion operators in the dimension-eight SMEFT. Combined with four earlier papers on related pieces, the work leaves only the mixing of four-fermion operators into two-fermion ones as the remaining uncomputed contribution. A reader would care because completing these mixing terms is required to have the full set of counterterms for consistent one-loop calculations in the SMEFT at this order.

Core claim

We compute the one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in the dimension-eight Standard Model Effective Field Theory (SMEFT). Together with the results in arXiv:2106.05291, arXiv:2205.03301, arXiv:2409.15408, and arXiv:2512.21724, this leaves only the mixing of four-fermion operators into two-fermion ones as the remaining piece to complete the SMEFT renormalization program at this order.

What carries the argument

One-loop mixing of bosonic and two-fermion operators into two-fermion operators at dimension eight.

Load-bearing premise

The results from the four cited previous papers are correct and that the only remaining uncomputed piece is the mixing of four-fermion operators into two-fermion ones.

What would settle it

An independent one-loop calculation that produces different mixing coefficients for any of the bosonic or two-fermion contributions into two-fermion operators would show the reported results are incorrect.

Figures

Figures reproduced from arXiv: 2606.19202 by Mikael Chala, Supratim Das Bakshi, Zhe Ren.

Figure 1
Figure 1. Figure 1: Example Feynman diagrams for the mixing of ϕ 6D2 into ϕ 6D2 (left), ϕ 4XD2 (center) and ψ 2ϕ 4D (right). The gray square denotes the effective interaction, while black dots represent SM couplings. r˙ (7) l 2ϕ4D,mn = 1 2 y e mpy e∗ npc (2) ϕ6D2 . (12) Representative diagrams are shown in [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
read the original abstract

We compute the one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in the dimension-eight Standard Model Effective Field Theory (SMEFT). Together with the results in arXiv:2106.05291, arXiv:2205.03301, arXiv:2409.15408, and arXiv:2512.21724, this leaves only the mixing of four-fermion operators into two-fermion ones as the remaining piece to complete the SMEFT renormalization program at this order.

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.

Referee Report

1 major / 0 minor

Summary. The manuscript computes the one-loop mixing of bosonic and two-fermion interactions into two-fermion operators at dimension eight in the SMEFT. Combined with results from arXiv:2106.05291, arXiv:2205.03301, arXiv:2409.15408, and arXiv:2512.21724, the abstract states that only the mixing of four-fermion operators into two-fermion ones remains uncomputed to complete the full one-loop renormalization program at this order.

Significance. If correct, the result contributes to the systematic completion of the SMEFT renormalization at dimension eight, which is required for consistent higher-order predictions in effective field theory analyses of collider data. The series of papers provides explicit operator mixing coefficients that can be directly implemented in phenomenological tools.

major comments (1)
  1. [Abstract] Abstract: The completeness statement that only four-fermion to two-fermion mixing remains uncomputed rests on the prior four papers having exhaustively and correctly computed all bosonic and two-fermion mixings. The present manuscript does not re-derive, cross-check, or independently verify those earlier results, so any incompleteness in the cited works would affect the overall claim.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript and the recommendation for minor revision. We respond to the single major comment below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The completeness statement that only four-fermion to two-fermion mixing remains uncomputed rests on the prior four papers having exhaustively and correctly computed all bosonic and two-fermion mixings. The present manuscript does not re-derive, cross-check, or independently verify those earlier results, so any incompleteness in the cited works would affect the overall claim.

    Authors: We acknowledge that the abstract's statement of completeness for the overall renormalization program relies on the accuracy and exhaustiveness of the four cited prior works in the series. This manuscript computes only the new contributions from bosonic and two-fermion operators into two-fermion operators at dimension eight; it does not re-derive or independently verify the earlier results, as that would duplicate material already presented in those papers. The abstract already qualifies the result with the phrase 'Together with the results in...' to indicate dependence on the cited works. To address the referee's concern and make the reliance explicit, we will revise the abstract to read: 'Building on the results of arXiv:2106.05291, arXiv:2205.03301, arXiv:2409.15408, and arXiv:2512.21724, we compute the one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in the dimension-eight SMEFT. This leaves only the mixing of four-fermion operators into two-fermion ones as the remaining piece to complete the SMEFT renormalization program at this order.' revision: yes

Circularity Check

1 steps flagged

Minor self-citation for completeness claim; central one-loop computation remains independent

specific steps
  1. self citation load bearing [Abstract]
    "Together with the results in arXiv:2106.05291, arXiv:2205.03301, arXiv:2409.15408, and arXiv:2512.21724, this leaves only the mixing of four-fermion operators into two-fermion ones as the remaining piece to complete the SMEFT renormalization program at this order."

    The statement that the present work plus the four cited papers completes all but one class of mixings depends on those prior papers having correctly and exhaustively computed the mixings they claim. Given the series title and author overlap pattern typical of such programs, this constitutes a self-citation for the completeness assertion, though the assertion is not required for the validity of the new mixing results reported here.

full rationale

The paper presents a direct one-loop calculation of operator mixing in SMEFT. The only self-citation occurs in the abstract when stating that prior results leave only four-fermion mixing uncomputed. This is a contextual completeness remark rather than a load-bearing step in the derivation of the new mixing coefficients themselves. No self-definitional relations, fitted inputs renamed as predictions, ansatze smuggled via citation, or renaming of known results appear in the computation. The central result is therefore self-contained as a first-principles calculation.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The paper relies on standard QFT assumptions for loop calculations and the established SMEFT framework at dimension eight, with no free parameters or new entities introduced based on the abstract.

axioms (2)
  • standard math Standard quantum field theory techniques for computing one-loop operator mixing are applicable and sufficient.
    The computation of one-loop mixing assumes established methods for handling divergences and renormalization in QFT.
  • domain assumption The dimension-eight SMEFT operator basis is complete and correctly classified for the purposes of this mixing calculation.
    The work assumes the standard classification of bosonic, two-fermion, and four-fermion operators at dimension eight.

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discussion (0)

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Reference graph

Works this paper leans on

95 extracted references · 12 linked inside Pith

  1. [1]

    Chala, G

    M. Chala, G. Guedes, M. Ramos and J. Santiago,Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I, SciPost Phys.11(2021) 065, [2106.05291]

    arXiv 2021

  2. [2]

    Das Bakshi, M

    S. Das Bakshi, M. Chala, ´A. D´ ıaz-Carmona and G. Guedes,Towards the renormalisation of the Standard Model effective field theory to dimension eight: bosonic interactions II,Eur. Phys. J. Plus137(2022) 973, [2205.03301]. 10

    arXiv 2022

  3. [3]

    S. D. Bakshi, M. Chala, ´A. D´ ıaz-Carmona, Z. Ren and F. Vilches,Renormalization of the SMEFT to dimension eight: Fermionic interactions I,JHEP12(2025) 214, [2409.15408]

    arXiv 2025

  4. [4]

    Wu, M.-L

    C. Wu, M.-L. Xiao, J.-H. Yu and Y.-H. Zheng,On-Shell Renormalization of Dim-8 SMEFT from Complete Amplitude Basis: I. Four-Fermion Operators,2512.21724

    arXiv

  5. [5]

    Buchmuller and D

    W. Buchmuller and D. Wyler,Effective Lagrangian Analysis of New Interactions and Flavor Conservation,Nucl. Phys. B268(1986) 621–653

    1986

  6. [6]

    Grzadkowski, M

    B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek,Dimension-Six Terms in the Standard Model Lagrangian,JHEP10(2010) 085, [1008.4884]

    Pith/arXiv arXiv 2010

  7. [7]

    Brivio and M

    I. Brivio and M. Trott,The Standard Model as an Effective Field Theory,Phys. Rept.793(2019) 1–98, [1706.08945]

    Pith/arXiv arXiv 2019

  8. [8]

    Isidori, F

    G. Isidori, F. Wilsch and D. Wyler,The standard model effective field theory at work,Rev. Mod. Phys.96(2024) 015006, [2303.16922]

    arXiv 2024

  9. [9]

    Aebischer, A

    J. Aebischer, A. J. Buras and J. Kumar,SMEFT ATLAS: The Landscape Beyond the Standard Model,2507.05926

    arXiv

  10. [10]

    Ellis, C

    J. Ellis, C. W. Murphy, V. Sanz and T. You,Updated Global SMEFT Fit to Higgs, Diboson and Electroweak Data,JHEP06(2018) 146, [1803.03252]

    Pith/arXiv arXiv 2018

  11. [11]

    D. M. Straub,flavio: a Python package for flavour and precision phenomenology in the Standard Model and beyond,1810.08132

    Pith/arXiv arXiv

  12. [12]

    Aoude, T

    R. Aoude, T. Hurth, S. Renner and W. Shepherd,The impact of flavour data on global fits of the MFV SMEFT,JHEP12(2020) 113, [2003.05432]

    arXiv 2020

  13. [13]

    Boughezal, F

    R. Boughezal, F. Petriello and D. Wiegand,Removing flat directions in standard model EFT fits: How polarized electron-ion collider data can complement the LHC, Phys. Rev. D101(2020) 116002, [2004.00748]

    arXiv 2020

  14. [14]

    Dawson, S

    S. Dawson, S. Homiller and S. D. Lane,Putting standard model EFT fits to work, Phys. Rev. D102(2020) 055012, [2007.01296]

    arXiv 2020

  15. [15]

    Das Bakshi, J

    Anisha, S. Das Bakshi, J. Chakrabortty and S. K. Patra,Connecting electroweak-scale observables to BSM physics through EFT and Bayesian statistics, Phys. Rev. D103(2021) 076007, [2010.04088]

    arXiv 2021

  16. [16]

    Das Bakshi, S

    Anisha, S. Das Bakshi, S. Banerjee, A. Biek¨ otter, J. Chakrabortty, S. Kumar Patra et al.,Effective limits on single scalar extensions in the light of recent LHC data, Phys. Rev. D107(2023) 055028, [2111.05876]. 11

    arXiv 2023

  17. [17]

    Alasfar, J

    L. Alasfar, J. de Blas and R. Gr¨ ober,Higgs probes of top quark contact interactions and their interplay with the Higgs self-coupling,JHEP05(2022) 111, [2202.02333]

    arXiv 2022

  18. [18]

    de Blas, M

    J. de Blas, M. Pierini, L. Reina and L. Silvestrini,Impact of the Recent Measurements of the Top-Quark and W-Boson Masses on Electroweak Precision Fits,Phys. Rev. Lett.129(2022) 271801, [2204.04204]

    arXiv 2022

  19. [19]

    Allwicher, D

    L. Allwicher, D. A. Faroughy, F. Jaffredo, O. Sumensari and F. Wilsch,Drell-Yan tails beyond the Standard Model,JHEP03(2023) 064, [2207.10714]

    arXiv 2023

  20. [20]

    Kassabov, M

    Z. Kassabov, M. Madigan, L. Mantani, J. Moore, M. Morales Alvarado, J. Rojo et al.,The top quark legacy of the LHC Run II for PDF and SMEFT analyses, JHEP05(2023) 205, [2303.06159]

    arXiv 2023

  21. [21]

    Bartocci, A

    R. Bartocci, A. Biek¨ otter and T. Hurth,A global analysis of the SMEFT under the minimal MFV assumption,JHEP05(2024) 074, [2311.04963]

    arXiv 2024

  22. [22]

    Boughezal, A

    R. Boughezal, A. Emmert, T. Kutz, S. Mantry, M. Nycz, F. Petriello et al., Neutral-current electroweak physics and SMEFT studies at the EIC,Phys. Rev. D 106(2022) 016006, [2204.07557]

    arXiv 2022

  23. [23]

    Celada, T

    E. Celada, T. Giani, J. ter Hoeve, L. Mantani, J. Rojo, A. N. Rossia et al., Mapping the SMEFT at high-energy colliders: from LEP and the (HL-)LHC to the FCC-ee,JHEP09(2024) 091, [2404.12809]

    arXiv 2024

  24. [24]

    Hammou and M

    E. Hammou and M. Ubiali,Unravelling new physics signals at the HL-LHC with EIC and FPF constraints,Phys. Rev. D111(2025) 095028, [2410.00963]

    arXiv 2025

  25. [25]

    Bartocci, A

    R. Bartocci, A. Biek¨ otter and T. Hurth,Renormalisation group evolution effects on global SMEFT analyses,JHEP05(2025) 203, [2412.09674]

    arXiv 2025

  26. [26]

    ter Hoeve, L

    J. ter Hoeve, L. Mantani, J. Rojo, A. N. Rossia and E. Vryonidou,Connecting scales: RGE effects in the SMEFT at the LHC and future colliders,JHEP06 (2025) 125, [2502.20453]

    arXiv 2025

  27. [27]

    de Blas, A

    J. de Blas, A. Goncalves, V. Miralles, L. Reina, L. Silvestrini and M. Valli, Constraining new physics effective interactions via a global fit of electroweak, Drell-Yan, Higgs, top, and flavour observables,JHEP03(2026) 013, [2507.06191]

    arXiv 2026

  28. [28]

    de Blas, A

    J. de Blas, A. Goncalves, V. Miralles, L. Reina, L. Silvestrini and M. Valli,Impact of Higgs-boson measurements on SMEFT fits,2512.02256

    Pith/arXiv arXiv

  29. [29]

    E. E. Jenkins, A. V. Manohar and M. Trott,Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence, JHEP10(2013) 087, [1308.2627]. 12

    arXiv 2013

  30. [30]

    E. E. Jenkins, A. V. Manohar and M. Trott,Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence,JHEP01 (2014) 035, [1310.4838]

    arXiv 2014

  31. [31]

    Alonso, E

    R. Alonso, E. E. Jenkins, A. V. Manohar and M. Trott,Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology,JHEP04(2014) 159, [1312.2014]

    arXiv 2014

  32. [32]

    Panico, A

    G. Panico, A. Pomarol and M. Riembau,EFT approach to the electron Electric Dipole Moment at the two-loop level,JHEP04(2019) 090, [1810.09413]

    arXiv 2019

  33. [33]

    Elias Miro, C

    J. Elias Miro, C. Fernandez, M. A. Gumus and A. Pomarol,Gearing up for the next generation of LFV experiments, via on-shell methods,JHEP06(2022) 126, [2112.12131]

    arXiv 2022

  34. [34]

    E. E. Jenkins, A. V. Manohar, L. Naterop and J. Pag` es,Two loop renormalization of scalar theories using a geometric approach,JHEP02(2024) 131, [2310.19883]

    arXiv 2024

  35. [35]

    Di Noi, R

    S. Di Noi, R. Gr¨ ober and M. K. Mandal,Two-loop running effects in Higgs physics in Standard Model Effective Field Theory,JHEP12(2024) 220, [2408.03252]

    arXiv 2024

  36. [36]

    Banik, A

    S. Banik, A. Crivellin, L. Naterop and P. Stoffer,Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT,2510.08682

    arXiv

  37. [37]

    Di Noi and R

    S. Di Noi and R. Gr¨ ober,Two loops, four tops and twoγ5 schemes: A renormalization story,Phys. Lett. B869(2025) 139878, [2507.10295]

    arXiv 2025

  38. [38]

    Di Noi, B

    S. Di Noi, B. A. Erdelyi and R. Gr¨ ober,Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT,2510.14680

    Pith/arXiv arXiv

  39. [39]

    C. Duhr, G. Ventura and E. Vryonidou,Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme,JHEP11(2025) 046, [2508.04500]

    arXiv 2025

  40. [40]

    Chala and J

    M. Chala and J. L´ opez Miras,New insights into two-loop running in effective field theories,2512.04064

    arXiv

  41. [41]

    Haisch,Higgs production from anomalous gluon dynamics,JHEP06(2025) 004, [2503.06249]

    U. Haisch,Higgs production from anomalous gluon dynamics,JHEP06(2025) 004, [2503.06249]

    arXiv 2025

  42. [42]

    Haisch and M

    U. Haisch and M. Niggetiedt,Precision tests of third-generation four-quark operators:gg→handh→gammagamma,2507.20803

    arXiv

  43. [43]

    L. Born, J. Fuentes-Mart´ ın, S. Kvedarait˙ e and A. E. Thomsen,Two-loop running in the bosonic SMEFT using functional methods,JHEP05(2025) 121, [2410.07320]. 13

    arXiv 2025

  44. [44]

    L. Born, J. Fuentes-Mart´ ın and A. E. Thomsen,Next-to-Leading Order Running in the SMEFT,2601.19974

    arXiv

  45. [45]

    E. E. Jenkins, A. V. Manohar and P. Stoffer,Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching,JHEP03(2018) 016, [1709.04486]

    arXiv 2018

  46. [46]

    E. E. Jenkins, A. V. Manohar and P. Stoffer,Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions,JHEP01(2018) 084, [1711.05270]

    arXiv 2018

  47. [47]

    Naterop and P

    L. Naterop and P. Stoffer,Renormalization-group equations of the LEFT at two loops: dimension-five effects,JHEP06(2025) 007, [2412.13251]

    arXiv 2025

  48. [48]

    Naterop and P

    L. Naterop and P. Stoffer,Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators,JHEP07(2025) 237, [2505.03871]

    arXiv 2025

  49. [49]

    Naterop and P

    L. Naterop and P. Stoffer,Renormalization-group equations of the LEFT at two loops: dimension-six operators,JHEP02(2026) 016, [2507.08926]

    arXiv 2026

  50. [50]

    R. M. Fonseca, P. Olgoso and J. Santiago,Renormalization of general Effective Field Theories: formalism and renormalization of bosonic operators,JHEP07 (2025) 135, [2501.13185]

    arXiv 2025

  51. [51]

    Misiak and I

    M. Misiak and I. Na lkecz,One-loop renormalization group equations in generic effective field theories. Part I. Bosonic operators,JHEP06(2025) 210, [2501.17134]

    arXiv 2025

  52. [52]

    Aebischer, L

    J. Aebischer, L. C. Bresciani and N. Selimovic,Anomalous dimension of a general effective gauge theory. Part I. Bosonic sector,JHEP08(2025) 209, [2502.14030]

    Pith/arXiv arXiv 2025

  53. [53]

    Aebischer, L

    J. Aebischer, L. C. Bresciani and N. Selimovic,Anomalous Dimension of a General Effective Gauge Theory II: Fermionic Sector,2512.16890

    arXiv

  54. [54]

    R. M. Fonseca, P. Olgoso and J. Santiago,Renormalization of general Effective Field Theories: Renormalization of fermionic operators,2512.15866

    arXiv

  55. [55]

    Guedes and J

    G. Guedes and J. Roosmale Nepveu,Two-loop renormalization of general bosonic effective field theories,2512.08827

    arXiv

  56. [56]

    Degrande, G

    C. Degrande, G. Durieux, F. Maltoni, K. Mimasu, E. Vryonidou and C. Zhang, Automated one-loop computations in the standard model effective field theory,Phys. Rev. D103(2021) 096024, [2008.11743]. 14

    arXiv 2021

  57. [57]

    Dawson, S

    S. Dawson, S. Homiller and M. Sullivan,Impact of dimension-eight SMEFT contributions: A case study,Phys. Rev. D104(2021) 115013, [2110.06929]

    arXiv 2021

  58. [58]

    Dawson, D

    S. Dawson, D. Fontes, S. Homiller and M. Sullivan,Role of dimension-eight operators in an EFT for the 2HDM,Phys. Rev. D106(2022) 055012, [2205.01561]

    arXiv 2022

  59. [59]

    Boughezal, Y

    R. Boughezal, Y. Huang and F. Petriello,Exploring the SMEFT at dimension eight with Drell-Yan transverse momentum measurements,Phys. Rev. D106(2022) 036020, [2207.01703]

    arXiv 2022

  60. [60]

    Heinrich and J

    G. Heinrich and J. Lang,SMEFT truncation effects in Higgs boson pair production at NLO QCD,J. Phys. Conf. Ser.2438(2023) 012153, [2212.00711]

    arXiv 2023

  61. [61]

    Degrande and H.-L

    C. Degrande and H.-L. Li,Impact of dimension-8 SMEFT operators on diboson productions,JHEP06(2023) 149, [2303.10493]

    arXiv 2023

  62. [62]

    Boughezal, Y

    R. Boughezal, Y. Huang and F. Petriello,Impact of high invariant-mass Drell-Yan forward-backward asymmetry measurements on SMEFT fits,Phys. Rev. D108 (2023) 076008, [2303.08257]

    arXiv 2023

  63. [63]

    Corbett, J

    T. Corbett, J. Desai, O. J. P. ´Eboli, M. C. Gonzalez-Garcia, M. Martines and P. Reimitz,Impact of dimension-eight SMEFT operators in the electroweak precision observables and triple gauge couplings analysis in universal SMEFT,Phys. Rev. D107(2023) 115013, [2304.03305]

    arXiv 2023

  64. [64]

    Ellis, K

    J. Ellis, K. Mimasu and F. Zampedri,Dimension-8 SMEFT analysis of minimal scalar field extensions of the Standard Model,JHEP10(2023) 051, [2304.06663]

    arXiv 2023

  65. [65]

    Assi and A

    B. Assi and A. Martin,Energy-enhanced dimension eight SMEFT effects in VBF Higgs production,JHEP02(2025) 029, [2410.21563]

    arXiv 2025

  66. [66]

    Das Bakshi and ´A

    S. Das Bakshi and ´A. D´ ıaz-Carmona,Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators,JHEP06(2023) 123, [2301.07151]

    arXiv 2023

  67. [67]

    Accettulli Huber and S

    M. Accettulli Huber and S. De Angelis,Standard Model EFTs via on-shell methods, JHEP11(2021) 221, [2108.03669]

    arXiv 2021

  68. [68]

    Helset, E

    A. Helset, E. E. Jenkins and A. V. Manohar,Renormalization of the Standard Model Effective Field Theory from geometry,JHEP02(2023) 063, [2212.03253]

    arXiv 2023

  69. [69]

    B. Assi, A. Helset, A. V. Manohar, J. Pag` es and C.-H. Shen,Fermion geometry and the renormalization of the Standard Model Effective Field Theory,JHEP11(2023) 201, [2307.03187]. 15

    arXiv 2023

  70. [70]

    M. Ardu, S. Davidson and M. Gorbahn,Sensitivity ofµ→e processes toτflavor change,Phys. Rev. D105(2022) 096040, [2202.09246]

    arXiv 2022

  71. [71]

    Asteriadis, S

    K. Asteriadis, S. Dawson and D. Fontes,Double insertions of SMEFT operators in gluon fusion Higgs boson production,Phys. Rev. D107(2023) 055038, [2212.03258]

    arXiv 2023

  72. [72]

    Boughezal, Y

    R. Boughezal, Y. Huang and F. Petriello,Renormalization-group running of dimension-8 four-fermion operators in the SMEFT,Phys. Rev. D110(2024) 116015, [2408.15378]

    arXiv 2024

  73. [73]

    Liao, X.-D

    Y. Liao, X.-D. Ma and H.-L. Wang,Probing dimension-8 SMEFT operators through neutral meson mixing,JHEP03(2025) 133, [2409.10305]

    arXiv 2025

  74. [74]

    Henriksson, S

    J. Henriksson, S. R. Kousvos and J. Roosmale Nepveu,EFT meets CFT: multiloop renormalization of higher-dimensional operators in generalϕ 4 theories,JHEP05 (2026) 005, [2511.16740]

    arXiv 2026

  75. [75]

    Chala and J

    M. Chala and J. Santiago,Positivity bounds in the standard model effective field theory beyond tree level,Phys. Rev. D105(2022) L111901, [2110.01624]

    arXiv 2022

  76. [76]

    Chala,Constraints on anomalous dimensions from the positivity of the S matrix, Phys

    M. Chala,Constraints on anomalous dimensions from the positivity of the S matrix, Phys. Rev. D108(2023) 015031, [2301.09995]

    arXiv 2023

  77. [77]

    Chala and X

    M. Chala and X. Li,Positivity restrictions on the mixing of dimension-eight SMEFT operators,Phys. Rev. D109(2024) 065015, [2309.16611]

    arXiv 2024

  78. [78]

    Y. Ye, X. Cao, Y.-H. Wu and J. Gu,Positivity bounds in scalar-QED EFT at one-loop level,JHEP10(2025) 084, [2507.06302]

    arXiv 2025

  79. [79]

    Y.-P. Liao, J. Roosmale Nepveu and C.-H. Shen,Positivity in Perturbative Renormalization: an EFTa-theorem,2505.02910

    arXiv

  80. [80]

    B. Assi, A. Helset, J. Pag` es and C.-H. Shen,Renormalizing two-fermion operators in the SMEFT via supergeometry,JHEP12(2025) 082, [2504.18537]

    arXiv 2025

Showing first 80 references.