Explaining 
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, the KOTO anomaly, and the MiniBooNE excess in an extended Higgs model with sterile neutrinos

We apply Hilbert series techniques to the enumeration of operators in the mesonic QCD chiral Lagrangian. Existing Hilbert series technologies for non-linear realizations are extended to incorporate the external fields. The action of charge conjugation is addressed by folding the $$ \mathfrak{su}(n) $$ su n Dynkin diagrams, which we detail in an appendix that can be read separately as it has potential broader applications. New results include the enumeration of anomalous operators appearing in the chiral Lagrangian at order p8, as well as enumeration of CP-even, CP-odd, C-odd, and P-odd terms beginning from order p6. The method is extendable to very high orders, and we present results up to order p16.(The title sequence is the number of independent C-even and P-even operators in the mesonic QCD chiral Lagrangian with three light flavors of quarks, at chiral dimensions p2, p4, p6, …)

Section: Discussionmentioning

confidence: 99%

2, 12, 117, 1959, 45171, 1170086, …: a Hilbert series for the QCD chiral Lagrangian

Gráf

Henning

et al. 2021

“…(6.4). Following this, there are different NP explanations available in the literature, for example, see [109][110][111][112][113][114][115][116][117].…”

Section: Koto Anomalymentioning

confidence: 99%

Low scale U(1)X gauge symmetry as an origin of dark matter, neutrino mass and flavour anomalies

Borah

Mukherjee

Nandi

2020

We study a generic leptophilic U(1)X extension of the standard model with a light gauge boson. The U(1)X charge assignments for the leptons are guided by lepton universality violating (LUV) observables in semileptonic b → sℓℓ decays, muon anomalous magnetic moment and the origin of leptonic masses and mixing. Anomaly cancellation conditions require the addition of new chiral fermions in the model, one of which acts as a dark matter (DM) candidate when it is stabilised by an additional $$ {\mathcal{Z}}_2 $$ Z 2 symmetry. From our analysis, we show two different possible models with similar particle content that lead to quite contrasting neutrino mass origin and other phenomenology. The proposed models also have the potential to address the anomalous results in b → cℓνℓ decays like R(D), R(D∗), electron anomalous magnetic moment and the very recent KOTO anomaly in the kaon sector. We also discuss different possible collider signatures of our models which can be tested in future.

“…For a sample of other recent suggestions made for the simultaneous explanation of the ∆a e,µ anomalies, we refer the readers to refs. [62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78].…”

Section: Introductionmentioning

confidence: 99%

Power-aligned 2HDM: a correlative perspective on (g − 2)e,μ

et al. 2021

With the hypothesis of minimal flavor violation, we find that there exists a power-aligned relation between the Yukawa couplings of the two scalar doublets in the two-Higgs-doublet model with Hermitian Yukawa matrices. Within such a power-aligned framework, it is found that a simultaneous explanation of the anomalies observed in the electron and muon anomalous magnetic moments can be reached with TeV-scale quasi-degenerate Higgs masses, and the resulting parameter space is also phenomenologically safer under the B-physics, Z and τ decay data, as well as the current LHC bounds. Furthermore, the flavor-universal power that enhances the charged-lepton Yukawa couplings prompts an interesting correlation between the two anomalies, which makes the model distinguishable from the (generalized) linearly aligned and the lepton-specific two-Higgs-doublet models that address the same anomalies but in a non-correlative manner, and hence testable by future precise measurements.