Top quark loop corrections to $W^+W^-$ scattering at the LHC

Calonge, Carlos Quezada; Dobado, Antonio; Sanz-Cillero, Juan José

doi:10.22323/1.390.0076

Cited by 3 publications

(4 citation statements)

References 7 publications

(11 reference statements)

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“…Similar concerns about the nET were raised in previous works when dealing with WBGB amplitudes, effective Lagrangians and possible heavy scalars [19,20,21]. The discussion of this topic is beyond the scope of this article and it is relegated to a future work [10].…”

Section: Effective Lagrangian In the Equivalence Theorem Limitmentioning

confidence: 58%

“…Currently we are working on the full one-loop contribution [10]. We plan to complete the present computation with the real part of the one-loop amplitudes, where fermion contributions might also be important or even dominant, as we have found in some cases for the imaginary part.…”

Section: Discussionmentioning

confidence: 98%

“…We plan to complete the present computation with the real part of the one-loop amplitudes, where fermion contributions might also be important or even dominant, as we have found in some cases for the imaginary part. Along with this, we plan to deal with the possibility of a strongly interacting electroweak symmetry breaking sector and the problem of unitarization of the whole amplitude for all VBS channels [10,30].…”

Section: Discussionmentioning

confidence: 99%

“…For this we will make use of perturbative unitarity which connects the imaginary part of an intermediate two-particle-loop contribution with the amplitude of tree-level processes with the same two-particle as a final state. The calculation and study of the real parts of these one-loop amplitudes will be provided elsewhere [10].…”

Section: Introductionmentioning

confidence: 99%

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On the relevance of fermion loops for $W^+W^-$ scattering

Quezada-Calonge¹,

Dobado²,

Sanz-Cillero³

2022

Preprint

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We study the one-loop corrections to Vector Boson Scattering (in particular W + W − elastic scattering) within the framework of effective theories. Re-scattering via intermediate electroweak would-be-Goldstone bosons dominate at high energies, as the corresponding loop diagrams with these intermediate bosons scale like O(s 2 /v 4 ) in the chiral effective counting. In the present article, we focus our attention on fermion-loop corrections which scale like O(M 2 Fer s/v 4 ) in the Higgs Effective Field Theory (HEFT). Although this dependency is formally suppressed for s → ∞ with respect to that from boson loops, the large top mass can lead to a numerical competition between fermion and boson loops at intermediate energies of the order of a few TeV. For the study of these fermion effects we have calculated the imaginary part induced by loops of top and bottom quarks in W + W − → W + W − elastic scattering and compared it to the loop contributions from purely bosonic loops. We have examined the dependence of both amplitudes on the effective couplings, allowing an O(10%) deviation from the SM. In some cases, boson loops dominate over top and bottom corrections, as expected. However, we find that there are regions in the space of effective parameters that yield a significant -and even dominantimaginary contribution from fermion loops. In addition to our conclusions for the general HEFT, we also provide analyses particularized to some benchmark points in the SO(5)/SO(4) Minimal Composite Higgs Model.

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Section: Effective Lagrangian In the Equivalence Theorem Limitmentioning

confidence: 58%

Section: Discussionmentioning

confidence: 98%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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