Gauge Dependence of the Gauge Boson Projector

Gallagher, E. M. Priidik; Groote, S.; Naeem, Maria

doi:10.3390/particles3030037

Cited by 4 publications

(3 citation statements)

References 32 publications

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“…To maintain the gauge invariance, Ref. [29] suggests that if the boson V is SU (2) dark Z, one shall compute the tree-level amplitude squared by using unitary gauge [30,31]. Regardless of the gauge choice, for the vector interaction with C a N = 0, we find that its amplitude squared is unaffected.…”

Section: Effective Inelastic Dm Interactionsmentioning

confidence: 82%

Revising inelastic dark matter direct detection by including the cosmic ray acceleration

Feng,

Kang,

et al. 2021

Preprint

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The null signal from collider and dark matter (DM) direct detector experiments makes the interaction between the DM and visible matter too tiny to reproduce the correct relic density for many thermal DM models. One of the most popular explanations is the inelastic DM scenario, allowing the coannihilation between two almost degenerated states in the dark sector. Unfortunately, the virialized DM component from the nearby halo is non-relativistic and not able to excite the DM ground state even if the relevant couplings can be considerable. Thus, the DM with either the light mass or large mass splitting can evade the traditional virialized DM searches. In this work, we connect the concept of cosmic-ray accelerated DM in our Milky Way (MW) and the direct detection of the inelastic scattering in the underground detectors to explore spectra that are resulted from several interaction types of the inelastic DM. We find that the mass splitting δ < O(1 GeV) can still be reachable for the cosmic ray accelerated DM with mass range 1 MeV < m χ 1 < 100 GeV and sub-GeV light mediator, by using the latest PandaX-4T data, even though we conservatively take the astrophysical parameter (effective length) D eff = 1 kpc.

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Section: Effective Inelastic Dm Interactionsmentioning

confidence: 82%

Revising inelastic dark matter direct detection by including the cosmic ray acceleration

Feng,

Kang,

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…To maintain gauge invariance, ref. [30] indicates that if the boson V is SU(2) dark Z, the tree-level amplitude squared must be computed with a unitary gauge [31,32], which will be considered in this study for both the vector and axial-vector interactions.…”

Section: Figurementioning

confidence: 99%

Revising inelastic dark matter direct detection by including the cosmic ray acceleration

Feng

Kang

et al. 2022

J. High Energ. Phys.

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The null signal from collider and dark matter (DM) direct detector experiments makes the interaction between DM and visible matter too small to reproduce the correct relic density for many thermal DM models. The remaining parameter space indicates that two almost degenerated states in the dark sector, the inelastic DM scenario, can co-annihilate in the early universe to produce the correct relic density. Regarding the direct detection of the inelastic DM scenario, the virialized DM component from the nearby halo is nonrelativistic and not able to excite the DM ground state, even if the relevant couplings can be considerable. Thus, a DM with a large mass splitting can evade traditional virialized DM direct detection. In this study, we connect the concept of cosmic-ray accelerated DM in our Milky Way and the direct detection of inelastic scattering in underground detectors to explore spectra that result from several interaction types of the inelastic DM. We find that the mass splitting $$ \delta <\mathcal{O}\left(1\ \mathrm{GeV}\right) $$ δ < O 1 GeV can still be reachable for cosmic ray accelerated DM with mass range 1 MeV <$$ {m}_{\chi_1} $$ m χ 1 < 100 GeV and sub-GeV light mediator using the latest PandaX-4T data, even though we conservatively use the astrophysical parameter (effective length) Deff = 1 kpc.

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“…In a recent study in Ref. [74], it was shown that the unitary gauge is the default gauge for massive gauge bosons.…”

Section: Cp Asymmetry Ofmentioning

confidence: 99%

Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$

2021

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A general analysis of possible violation of CP in processes like $$\tau \rightarrow K\pi \nu $$ τ → K π ν , for unpolarized $$\tau $$ τ is presented. In this paper, we derive the new contributions to the effective Hamiltonian governs $$\vert \Delta S \vert =1$$ | Δ S | = 1 semileptonic tau decays in the framework of two Higgs doublet model with generic Yukawa structure and Leptoquarks models. Within these models, we list all operators, in the effective Hamiltonian and provide analytical expression for their corresponding Wilson coefficients. Moreover, we analyze the role of the different contributions, originating from the scalar, vecor and tensor hadronic currents, in generating direct CP asymmetry in the decay rate of $$\tau ^-\rightarrow K^-\pi ^0\nu _\tau $$ τ - → K - π 0 ν τ . We show that non vanishing direct CP asymmetry in the decay rate of $$\tau ^-\rightarrow K^-\pi ^0\nu _\tau $$ τ - → K - π 0 ν τ can be generated due to the presence of both, the weak phase in the Wilson coefficient corresponding to the tensor operator and the strong phase difference resulting from the interference between the form factors expressing the matrix elements of the vector and tensor hadronic currents. After taking into account all relevant constraints, we find that the generated direct CP asymmetry is of order $$10^{-8}$$ 10 - 8 which is several orders of magnitude larger than the standard model prediction. We show also that, in two Higgs doublet model with generic Yukawa structure , direct local or non integrated CP violation can be as large as 0.3 % not far from experimental possibilities. This kind of asymmetry can be generated due to the interference between vector and scalar contributions with different weak phases which is not the case in the SM.

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Gauge Dependence of the Gauge Boson Projector

Cited by 4 publications

References 32 publications

Revising inelastic dark matter direct detection by including the cosmic ray acceleration

Revising inelastic dark matter direct detection by including the cosmic ray acceleration

Revising inelastic dark matter direct detection by including the cosmic ray acceleration

Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$

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