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— Illustration of the jet base of M87 down to the EHT-region scale. The right panel shows the actual image of M87 with VLBA at 43 GHz adopted from Hada et al. (2013). The yellow-green circle shows the one-zone region with its diameter 110 μ as which is investigated in K14. The EHT-region detected by Doeleman et al. (2012) is shown as the blue circle. Since Hada et al. (2011) indicate that the central engine of M87 is located at ∼ 41 μ as eastward of the radio core at 43 GHz, we put the the EHT-region around there. The left panel shows the illustration of internal structure inside the EHT-region. The red-colored region represents an SSA-thick compact region inside the SSA-thin region. The black-colored region conceptually shows a possible BH shadow image. According to the smallness of closure phase reported in Akiyama et al. (2015), a certain level of symmetry is kept in this picture. 

— Illustration of the jet base of M87 down to the EHT-region scale. The right panel shows the actual image of M87 with VLBA at 43 GHz adopted from Hada et al. (2013). The yellow-green circle shows the one-zone region with its diameter 110 μ as which is investigated in K14. The EHT-region detected by Doeleman et al. (2012) is shown as the blue circle. Since Hada et al. (2011) indicate that the central engine of M87 is located at ∼ 41 μ as eastward of the radio core at 43 GHz, we put the the EHT-region around there. The left panel shows the illustration of internal structure inside the EHT-region. The red-colored region represents an SSA-thick compact region inside the SSA-thin region. The black-colored region conceptually shows a possible BH shadow image. According to the smallness of closure phase reported in Akiyama et al. (2015), a certain level of symmetry is kept in this picture. 

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Article
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We explore the degree of magnetization at the jet base of M87 by using the observational data of the event horizon telescope (EHT) at 230~GHz obtained by Doeleman et al. By utilizing the method in Kino et al., we derive the energy densities of magnetic fields ($U_{B}$) and electrons and positrons ($U_{\pm}$) in the compact region detected by EHT (E...

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Context 1
... show an illustration of our scenario in Figure 1. In this solution, most of the correlated flux density detected by EHT is attributed to the emission from the SSA-thin region. ...
Context 2
... inclusions of baselines with > 3Gλ would be effective to distinguish the SSA- thick component. For example, phased ALMA plus SMT with an effective bandwidth of 4 GHz would be effective at ∼ 5Gλ (Fig 6 in Fish et al. 2013). ...

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... Leptonic jet models, in which energetic electrons radiate the multi-wavelength photons via synchrotron and inverse Compton scattering, are considered as the standard scenario (e.g., Abdo et al. 2009;MAGIC Collaboration et al. 2020). However, at least for M87, if we try to reproduce the observational data by the leptonic jet model, the magnetic field strength required to explain the multi-wavelength data is lower than that estimated by the observed core-shift in radio band (Kino et al. 2015;Jiang et al. 2021). If we use the core-shift-based magnetic field, the calculated gamma-ray flux is far below the observed gamma-ray flux (e.g., Lucchini et al. 2019;EHT MWL Science Working Group et al. 2021). ...
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... Walker et al. [10] explained the long-term sideways shifts observed in pc-scale jets as the propagation of a helical pattern created by KHI along the jet. However, it is unclear whether the newly discovered fast oscillation can be described by KHI, as the region observed by KaVA may be highly magnetized, e.g., [33]. Rather, currentdriven instability (CDI) such as sausage instability (m = 0) or kink instability (m = 1) can cause oscillations in the magnetically dominated regions e.g., [34][35][36]. ...
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... 14 In general, there is a limitation for constraining a magnetization degree at a jet base from the spectral energy distribution (SED) fitting of multiwavelength (MWL) data as collected flux data do not share a common single emission region due to the different angular resolutions of various telescopes. To overcome the limitation of MWL SED fitting, Kino et al. (2014) and Kino et al. (2015b) explore the energetics at the M87 jet base based on VLBI data together with the well-established process of synchrotron self-absorption (SSA). In Figure 8 . ...
... In Figure 8 . Unfortunately, the submillimeter radio-emitting 40 μas region (Kino et al. , 2015b; EHT MWL Science Working Group et al. 2021) is within the light cylinder, which is not described by TT03. Therefore, it is not possible to directly compare the obtained σ profile with the constrained σ in those previous works. ...
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... These mechanisms can efficiently create e + e − pairs when the accretion rate is high. However, the estimated multiplicity is ∼ 100-10 3 , which is still lower than the required multiplicity estimated by radio observations (κ ±  10 5 ; see, e.g., Kino et al. 2015). ...
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Supermassive black holes in active galactic nuclei launch relativistic jets, as indicated by observed superluminal radio blobs. The energy source of these jets is widely discussed in the theoretical framework of the Blandford–Znajek process, the electromagnetic energy extraction from rotating black holes (BHs), while the formation mechanism of the radio blobs in the electromagnetically dominated jets has been a long-standing problem. Recent high-resolution magnetohydrodynamic simulations of magnetically arrested disks exhibited magnetic reconnection in a transient magnetically dominated part of the equatorial disk near the BH horizon, which led to a promising scenario of efficient MeV gamma-ray production and subsequent electron–positron pair loading into the BH magnetosphere. We develop this scenario to build a theoretical framework on energetics, timescales, and particle number density of the superluminal radio blobs and discuss observable signatures in other wave bands. We analytically show that the nonthermal electrons emit broadband photons from optical to multi-MeV bands. The electron–positron pairs produced in the magnetosphere are optically thick for synchrotron self-absorption, so that the injected energy is stored in the plasma. The stored energy is enough to power the superluminal radio blobs observed in M87. This scenario predicts rather dim radio blobs around Sgr A*, which are consistent with no clear detection by current facilities. In addition, this scenario inevitably produces strong X-ray flares in a short timescale, which will be detectable by future X-ray satellites.
... Based on mm/sub-mm VLBI observations, the jet base of M87 has been indicated to be magnetic-energy dominated based on the energetics at the optically thick region against synchrotron self-absorption (SSA) process (Kino et al. , 2015b. Now it is widely considered that magnetic field plays an important role in the formation of the relativistic jet (e.g., Blandford et al. 2019). ...
... 4 In general, there is a limitation for constraining a magnetization degree at a jet base from spectral energy distribution (SED) fitting of multi-wavelengths (MWL) data since collected flux data do not share a common single emission region due to different angular resolution of various telescopes. To overcome the limitation of MWL SED fitting, Kino et al. (2014) and Kino et al. (2015b) explore the energetics at the M87 jet base based on VLBI data alone together with the well-established process of synchrotron self-absorption (SSA). In Figure 7, we include these values in the literatures by setting σ = E EM /E MA ≈ U B /U ± . ...
... In Figure 7, we include these values in the literatures by setting σ = E EM /E MA ≈ U B /U ± . Unfortunately, sub-mm radio-emitting 40 µas region in (Kino et al. , 2015bEHT MWL Science Working Group et al. 2021) is within the light cylinder, which is not described by TT03. Therefore, it is not possible to directly compare the obtained σ profile with the constrained σ those previous works. ...
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... These mechanisms can efficiently create e + e − pairs when accretion rate is high. However, the estimated multiplicity is ∼ 100 − 10 3 , which is still lower than the required multiplicity estimated by radio observations (κ ± 10 5 ; see e.g., Kino et al. 2015). ...
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Supermassive black holes in active galactic nuclei launch relativistic jets, as indicated by observed superluminal radio blobs. The energy source of these jets is widely discussed in the theoretical framework of Blandford-Znajek process, the electromagnetic energy extraction from rotating black holes (BHs), while formation mechanism of the radio blobs in the electromagnetically-dominated jets has been a long-standing problem. Recent high-resolution magnetohydrodynamic simulations of magnetically arrested disks exhibited magnetic reconnection in a transient magnetically-dominated part of the equatorial disk near the BH horizon, which led to a promising scenario of efficient MeV gamma-ray production and subsequent electron-positron pair loading into BH magnetosphere. We develop this scenario to build a theoretical framework on energetics, timescales and particle number density of the superluminal radio blobs and discuss observable signatures in other wavebands. We analytically show that the non-thermal electrons emit broadband photons from optical to multi-MeV bands. The electron-positron pairs produced in the magnetosphere are optically thick for synchrotron-self absorption, so that the injected energy is stored in the plasma. The stored energy is enough to power the superluminal radio blobs observed in M87. This scenario predicts rather dim radio blobs around Sgr A*, which are consistent with no clear detection by current facilities. In addition, this scenario inevitably produces strong X-ray flares in a short timescale, which will be detectable by future X-ray satellites.
... The gamma-ray production sites for radio galaxies are controversial because relativistic beaming effects should be weaker in these objects. Leptonic compact jet models are actively discussed as a standard scenario (e.g., Abdo et al. 2009;MAGIC Collaboration et al. 2020), but, at least in M87, this scenario failed to reproduce the magnetic field strength estimated by core-shift measurements in the radio bands (Kino et al. 2015;Jiang et al. 2021). If we assume the strong magnetic fields given by the radio observations, the resulting gamma-ray spectra are far below the observed flux (Event Horizon Telescope MWL Science Working Group et al. 2021). ...
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Full-text available
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