Primary observables for top quark collider signals

Layne, Bradshaw,; Chang, Spencer

doi:10.1103/physrevd.108.015019

Cited by 5 publications

(1 citation statement)

References 46 publications

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“…They helped uncovering positivity constraints [53][54][55], non-interferences between renormalisable and dimension-six amplitudes [56], and non-renormalisation theorems between higherdimensional operators [57][58][59][60][61]. They provided an alternative means of computing anomalous dimensions [62][63][64][65][66][67][68][69][70], of constructing SMEFT operator bases [71][72][73][74][75][76][77] as well as broken-phase massive amplitudes [78][79][80][81][82][83][84][85][86].…”

Section: Introductionmentioning

confidence: 99%

EFT matching from analyticity and unitarity

De Angelis,

Durieux

2024

SciPost Phys.

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We present a new on-shell method for the matching of ultraviolet models featuring massive states onto their massless effective field theory. We employ a dispersion relation in the space of complex momentum dilations to capture, in a single variable, the relevant analytic structure of scattering amplitudes at any multiplicity. Multivariate complex analysis and crossing considerations are therefore avoided. Remarkably, no knowledge about the infrared effective field theory is required in dimensional regularisation. All matching information is extracted from the residues and iscontinuities of the ultraviolet scattering amplitudes, which unitarity expresses in terms of lower-point and lower-loop results, respectively. This decomposition into simpler building blocks could deliver new insight in the structure of the effective field theories obtained from classes of ultraviolet scenarios and facilitate computations at higher loop orders.

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Section: Introductionmentioning

confidence: 99%

EFT matching from analyticity and unitarity

De Angelis,

Durieux

2024

SciPost Phys.

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On amplitudes and field redefinitions

Cohen,

Lu,

Sutherland

2024

J. High Energ. Phys.

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We derive an off-shell recursion relation for correlators that holds at all loop orders. This allows us to prove how generalized amplitudes transform under generic field redefinitions, starting from an assumed behavior of the one-particle-irreducible effective action. The form of the recursion relation resembles the operation of raising the rank of a tensor by acting with a covariant derivative. This inspires a geometric interpretation, whose features and flaws we investigate.

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Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing

Goldberg,

Liu,

Shadmi

2024

J. High Energ. Phys.

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We derive the dimension-8 standard-model effective theory (SMEFT) contact terms relevant for vector-pair production at the LHC and lepton colliders. We first list the relevant dimension-8 massless SMEFT amplitudes, and then obtain the low-energy amplitudes using on-shell Higgsing. In all cases, the contributions we calculate are the leading-order contributions to 4-point contact-terms; the dimension-6 SMEFT merely corrects the three-point couplings entering the amplitudes. Since they are given in terms of physical quantities, namely momenta and polarizations, the results allow for a direct mapping of EFT effects to low-energy observables. The vector amplitudes are sensitive to both anomalous vector couplings and Higgs self-couplings. The left-handed fermion amplitudes feature SU(2) violating effects first generated at dimension-8. We also compare our results to HEFT predictions. Interestingly, the dimension-8 SMEFT populates almost all the novel structures generated by the dimension-8 HEFT.

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Primary observables for top quark collider signals

Cited by 5 publications

References 46 publications

EFT matching from analyticity and unitarity

EFT matching from analyticity and unitarity

On amplitudes and field redefinitions

Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing

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