Abstract:We consider τ -lepton mass effects in the cascade decays H → Z(→ ℓ + ℓ − ) + Z * (→ τ + τ − ) and H → W − (→ ℓ −ν ℓ ) + W + * (→ τ + ν τ ). Since the scale of the problem is set by the off-shellness q 2 of the respective gauge bosons in the limits ( for the angular decay distributions of the final-state leptons. We also briefly consider the corresponding off-shell -off-shell decays H
“…In this Appendix we provide a synopsis of how to obtain the angular decay distributions for the decays B → D ( * ) ℓ −ν ℓ following the description in [40,64]. The covariant representation of the angular decay distribution is given by…”
We study the exclusive leptonic and semileptonic B decays B → ℓ −ν ℓ and B → D ( * ) ℓ −ν ℓ in the framework of the covariant quark model with built-in infrared confinement. We compute the relevant form factors in the full kinematical momentum transfer region. The calculated form factors are used to evaluate branching fractions and polarization observables of the above transitions. We compare our results with experimental data and results from other theoretical studies.
“…In this Appendix we provide a synopsis of how to obtain the angular decay distributions for the decays B → D ( * ) ℓ −ν ℓ following the description in [40,64]. The covariant representation of the angular decay distribution is given by…”
We study the exclusive leptonic and semileptonic B decays B → ℓ −ν ℓ and B → D ( * ) ℓ −ν ℓ in the framework of the covariant quark model with built-in infrared confinement. We compute the relevant form factors in the full kinematical momentum transfer region. The calculated form factors are used to evaluate branching fractions and polarization observables of the above transitions. We compare our results with experimental data and results from other theoretical studies.
“…Thanks to the possibility of reconstructing all particles in the final state, the production of four charged leptons provides a large number of angular observables that are sensitive to the spin structure of the underlying resonances, both in the case of the Higgs and single-Z decay into four leptons, and in the case of the leptonic decay of two Z bosons. In fact, the Higgs decay into four leptons has been widely studied [38][39][40][41][42][43][44][45][46][47] and then measured with Run-2 data [1][2][3][4][48][49][50][51] with the purpose of determining the spin and parity of the Higgs boson as well as its CP properties via angular and energy correlations.…”
Measuring the polarization of electroweak bosons at the LHC allows for important tests of the electroweak-symmetry-breaking mechanism that is realized in nature. Therefore, precise Standard Model predictions are needed for the production of polarized bosons in the presence of realistic kinematic selections. We formulate a method for the calculation of polarized cross-sections at NLO that relies on the pole approximation and the separation of polarized matrix elements at the amplitude level. In this framework, we compute NLO-accurate cross-sections for the production of two polarized Z bosons at the LHC, including for the first time NLO EW corrections and combining them with NLO QCD corrections and contributions from the gluon-induced process.
“…with ε( k, 1) = (0; 1, 0, 0), ε( k, 2) = (0; 0, 1, 0) and ε( k, 3) = (0; 0, 0, 1). If the gauge boson is offshell, it is described by the unitary projector (ξ V → ∞), containing also a scalar component [8],…”
The propagator of a gauge boson, like the massless photon or the massive vector bosons W± and Z of the electroweak theory, can be derived in two different ways, namely via Green’s functions (semi-classical approach) or via the vacuum expectation value of the time-ordered product of the field operators (field theoretical approach). Comparing the semi-classical with the field theoretical approach, the central tensorial object can be defined as the gauge boson projector, directly related to the completeness relation for the complete set of polarisation four-vectors. In this paper we explain the relation for this projector to different cases of the Rξ gauge and explain why the unitary gauge is the default gauge for massive gauge bosons.
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