Abstract
Vector boson scatterings are fundamental processes to shed light on the nature of the electroweak symmetry breaking mechanism. Deviations from the Standard Model predictions on the corresponding observables can be interpreted in terms of effective field theories, that however undergo consistency conditions. In this paper, the same-sign WW scattering is considered within the HEFT context and the correct usage of the effective field theory approach is discussed. Regions of the parameters space are identified where a signal of new physics could be measured at HL-LHC with a significance of more than 5σ and the effective field theory description is consistently adopted. These results are then translated into bounds on the ξ parameter in the composite Higgs scenario. The discussion on the agreement with previous literature and the comparison with the equivalent analysis in the SMEFT case are also included.
Highlights
Lepton number preserving operators, the SMEFT Lagrangian is written as the sum of different terms, LSMEFT = LSM +
The parameter ξ is fixed to be ξ = 0.35. This result should be interpreted as follows: in case of a New Physics (NP) discovery in the W +W + scattering with a significance of more than 5σ, in the Lorentz configurations described by the P6 operator, and assuming that this NP corresponds to the Minimal Linear σ Model, the parameter ξ would take the value in eq (3.5)
This paper presents the analysis of the prospects for discovering new physics at the HLLHC considering the process pp → W +W +jj within the Higgs Effective Field Theory (HEFT) framework
Summary
Where the first term contains the LO operators and the second one describes new interactions and deviations from the LO contributions. The NDA normalisation is very useful because relates the values of the Wilson coefficients to the weak or strong interacting phase of the considered theory: if a Wilson coefficients turns out to be equal of larger than 1, the corresponding interactions become strongly coupled; while if it is smaller than 1, the corrections induced by the corresponding interactions are subdominant, a sign of a weakly coupled theory In papers where these operators are listed according to the number of derivatives, that is the typical counting of the EWχL, they belong to three different groups: P6 and P11 are listed among the O(p4) operators; T42, T43, T44, T61 and T62 are considered O(p6); OT0, OT1 and OT2 are inserted in the O(p8) group. Ten different Lorentz structure appear on the RH side of these expressions and the ten operators listed in eq (2.5) are independent
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