Abstract:The presence of charged scalars is almost inevitable in most of the beyond standard model scenarios. They are expected to be detected easily if they are there due to their electromagnetic charge. These charged scalars can be produced at the LHC and their decays may lead to interesting signals-multilepton final states, displaced vertices, etc. These charged particles also play crucial roles in low energy rare processes. Thus apart from the collider searches in low energy rare processes their presence can be sme… Show more
“…We can estimate this as follows: from Eqs. (6) and (15) one can see that the ratio of the constants is ð2 6 π 3 Þ −1 ¼ 5.0 × 10 −4 , which provide most of the difference between Table I and II. The channels which have the largest upper limit are J=ψD Ãþ s l − l − , which are about 10 −28 .…”
Section: Theoretical Formalismmentioning
confidence: 93%
“…Theoretically, the heavy bosons cannot on the mass shell, their contribution is reflected in effective interaction vertices [10]. Such low energy processes include the rare decays of top quark [11], τ lepton [11][12][13], or charged mesons [10,14,15]. Surely the branching ratios of these decay modes will be very small due to the large Higgs mass and small coupling constant.…”
In this paper, we study the lepton number violation processes of B c meson induced by possible doublycharged scalars. Both the three-body decay channels and the four-body decay channels are considered. For the former, the B − c → D þ s μ − μ − channel has the largest branching fraction 9.19 × 10 −23 , and for the later channels, the B − c →B 0 s π þ μ − μ − channel has the largest branching ratio 1.03 × 10 −27. These results are too small to be within the current experimental precision. However, they can provide a comparison in theory with the similar cases involving an off-shell Majorana neutrino.
“…We can estimate this as follows: from Eqs. (6) and (15) one can see that the ratio of the constants is ð2 6 π 3 Þ −1 ¼ 5.0 × 10 −4 , which provide most of the difference between Table I and II. The channels which have the largest upper limit are J=ψD Ãþ s l − l − , which are about 10 −28 .…”
Section: Theoretical Formalismmentioning
confidence: 93%
“…Theoretically, the heavy bosons cannot on the mass shell, their contribution is reflected in effective interaction vertices [10]. Such low energy processes include the rare decays of top quark [11], τ lepton [11][12][13], or charged mesons [10,14,15]. Surely the branching ratios of these decay modes will be very small due to the large Higgs mass and small coupling constant.…”
In this paper, we study the lepton number violation processes of B c meson induced by possible doublycharged scalars. Both the three-body decay channels and the four-body decay channels are considered. For the former, the B − c → D þ s μ − μ − channel has the largest branching fraction 9.19 × 10 −23 , and for the later channels, the B − c →B 0 s π þ μ − μ − channel has the largest branching ratio 1.03 × 10 −27. These results are too small to be within the current experimental precision. However, they can provide a comparison in theory with the similar cases involving an off-shell Majorana neutrino.
“…So MLRSM-EFT scenario offers very convoluted contributions to 0ν2β process, and the usual constraints need to be revisited. The leptonic current for this process, and the meson decays (M + → M − l + l + ) are the same [247][248][249][250]. Thus the prediction for meson decays through Majorana neutrinos and doubly charged scalars will also be modified.…”
Effective Field Theory (EFT) technique is one of the most elegant ways to capture the impact of high scale theory, if any, at some low energy by incorporating higher mass dimensional (≥ 5) effective operators (O i ). The low energy EFT is described in terms of only light degrees of freedom (DOF) which can appear on-shell. An essential task while developing the EFT framework is to compute these O i 's. Hilbert Series (HS) is a novel and mathematically robust method to construct the complete set of gauge invariant independent, effective operators. The HS requires the knowledge of the transformation properties of the light DOF and the covariant derivatives under the internal gauge symmetries and conformal groups. The Hilbert Series method, by its virtue, automatically takes care of the redundancies in the operator set due to the Equations of Motion (EOMs) of fields and Integration by Parts (IBPs) with impeccable accuracy.In this paper, we have adopted this methodology to construct the complete set of independent operators up to dimension-6 in the "Warsaw"-like basis for two different Beyond Standard Model scenarios -Two Higgs Doublet Model (2HDM) and Minimal Left-Right Symmetric Model (MLRSM). For both these cases, we have calculated the corrections to the scalar, gauge boson and fermion mass spectra due to the dimension-6 operators. The additional contributions to all the Feynman vertices are computed and their impact on different observables, namely Weak mixing angle, Fermi constant, ρ and oblique (S, T, U ) parameters. We have further discussed how the magnetic moments of charged leptons and production and decay of the massive BSM particles, e.g., charged scalar and different rare processes are affected in the presence of effective operators. We have also constructed the effective scalar four-point interactions and commented on the possible reinvestigation of the theoretical constraints, e.g., unitarity and vacuum stability within these frameworks.
“…The first example follows from Ref. [3] where an outline of the algorithm was given for scalar propagators only. Consider the decay of a heavy lepton 0 to three leptons 1 , 2 , and 3 , mediated by scalars which we will call ∆.…”
We propose a novel algorithm to compute the width of any generic $n$-body
decay involving multiple off-shell particles having zero and non-zero spins.
Starting from a toy example, we show the computations for three different
processes that contain spin-0, $\frac{1}{2}$, and 1 off-shell particles. We
have checked that our results match with the existing results at the analytical
level. This proposal can be automatized and should be useful to compute the
phase space for long cascade decays, without any Monte Carlo sampling.Comment: Published version. Title change
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