Correlation between the TeV and X-ray emission in high--energy peaked BL Lac objects

Abstract

We discuss the correlation between the evolution of the TeV emission and X-ray radiation observed in high-energy peaked BL Lac objects. We describe such a correlation by a simple power law. In the first part of this work we present correlations obtained for the activity of Mrk~501 observed in 1997 April and for the activity of Mrk~421 observed in 2000 February. We also discuss results of similar correlation obtained for this source by other authors. They report an almost quadratic correlations observed between the evolution of the TeV and X-ray emission. In the second part of this paper we present a phenomenological model which describes the evolution of the synchrotron and inverse Compton emission of a simple spherical homogeneous source. Neglecting the radiative cooling of the particles we derive analytical expressions that describe the evolution. Then we use a numerical code to investigate the impact of radiative cooling on the evolution. The quadratic correlation observed during the decay phase of the flare observed in Mrk~421 on 2001 March 19 appears problematic for this basic modeling. The quadratic correlation can be explained only for specific choices of the spectral bands used for the calculation. Therefore, looking for more robust solutions, we investigate the evolution of the emission generated by a cylindrical source. However this model does not provide robust solutions for the problem of a quadratic correlation. factor. Finally we briefly discuss the possible influence of the light travel time effect on our results.

arXiv comment18 pages, 7 figures, accepted for publication by A&A

References in corpus (23)

• BL Lac Objects in the Synchrotron Proton Blazar Model
• TeV Gamma Rays from BL Lac Objects due to Synchrotron Radiation of Extremely High Energy Protons
• Constraints on the Physical Parameters of TeV Blazars
• Multiwavelength Observations of Strong Flares From the TeV-Blazar 1ES 1959+650
• BeppoSAX Observations of Unprecedented Synchrotron Activity in the BL Lac Object Mkn 501
• Parsec Scale Properties of Markarian 501
• Decelerating Flows in TeV Blazars: A Resolution to the BL Lac -- FR I Unification Problem
• Rapid variability in the synchrotron self Compton model for blazars
• Multiwavelength Observations of a Flare from Markarian 501
• An evolutionary scenario for blazar unification
• Time Dependent Modeling of the Markarian 501 X-ray and TeV Gamma-Ray Data Taken During March and April, 1997
• Modelling the TeV gamma-ray spectra of two low redshift AGNs: Mkn 501 and Mkn 421
• The Parsec-Scale Structure and Jet Motions of the TeV Blazars 1ES 1959+650, PKS 2155-304, and 1ES 2344+514
• Complex Spectral Variability from Intensive Multi-wavelength Monitoring of Mrk421 in 1998
• Low power BL Lacertae objects and the blazar sequence: Clues on the particle acceleration process
• Energetics of Tev Blazars and Physical Constraints on their Emission Regions
• Simultaneous X-Ray and TeV Gamma-Ray Observations of the TeV Blazar Markarian 421 during February and May 2000
• Numerical simulations of radiation from blazar jets
• Evolution of the Synchrotron Spectrum in Mrk421 during the 1998 Campaign
• The Sub-Luminal Parsec-scale Jet of Mkn 501
• TeV Blazars - Observations and Models
• Testing the homogeneous synchrotron self Compton model for gamma ray production in Mrk 421
• Internal shocks and the blazar sequence. Low and intermediate power BL Lac objects

Cited by in corpus (53)

• Multiwavelength Observations of Markarian 421 in March 2001: an Unprecedented View on the X-ray/TeV Correlated Variability
• Fermi observations of TeV-selected AGN
• Multiwavelength Study of Quiescent States of Mrk 421 with Unprecedented Hard X-Ray Coverage Provided by NuSTAR in 2013
• The gamma-ray brightest days of the blazar 3C 454.3
• Unprecedented study of the broadband emission of Mrk 421 during flaring activity in March 2010
• Simultaneous multiwavelength observations of the second exceptional gamma-ray flare of PKS 2155-304 in July 2006
• Fermi Large Area Telescope and multi-wavelength observations of the flaring activity of PKS 1510-089 between 2008 September and 2009 June
• Hard TeV spectra of blazars and the constraints to the IR intergalactic background
• Observation of gamma-ray emission from the galaxy M87 above 250 GeV with VERITAS
• The time-dependent one-zone hadronic model - First principles
• Probing Intergalactic Magnetic Fields in the GLAST Era through Pair Echo Emission from TeV Blazars
• Leptonic and Hadronic Radiative Processes in Supermassive-Black-Hole Jets
• Long-term monitoring of the TeV emission from Mrk 421 with the ARGO-YBJ experiment
• First NuSTAR Observations of Mrk 501 within a Radio to TeV Multi-Instrument Campaign
• A multiwavelength view of the flaring state of PKS 2155-304 in 2006
• Time dependent simulations of multiwavelength variability of the blazar Mrk 421 with a Monte Carlo multi-zone code
• Discovery of VHE gamma-rays from the blazar 1ES 1215+303 with the MAGIC Telescopes and simultaneous multi-wavelength observations
• An emerging population of BL Lacs with extreme properties: towards a class of EBL and cosmic magnetic field probes?
• Unveiling the X-ray/TeV engine in Mkn 421
• Long-Term X-Ray and TeV variability of Mrk 501
• MAGIC long-term study of the distant TeV blazar PKS 1424+240 in a multiwavelength context
• XMM-Newton view of PKS 2155-304: hardness ratio and cross-correlation analysis of EPIC pn observations
• SSC radiation in BL Lac sources, the end of the tether
• Unravelling the complex behavior of Mrk 421 with simultaneous X-ray and VHE observations during an extreme flaring activity in April 2013
• Investigation of the correlation patterns and the Compton dominance variability of Mrk 421 in 2017
• Long-term study of Mkn 421 with the HAGAR Array of Telescopes
• The Great Markarian 421 Flare of February 2010: Multiwavelength variability and correlation studies
• Long-term lightcurves from combined unified very high energy $\gamma$-ray data
• A search for spectral hysteresis and energy-dependent time lags from X-ray and TeV gamma-ray observations of Mrk 421
• Very High Energy outburst of Markarian 501 in May 2009
• On the rapid TeV flaring activity of Markarian 501
• Modelling rapid TeV variability of PKS 2155-304
• Particle diffusion and localized acceleration in inhomogeneous AGN jets - Part II: stochastic variation
• Study of underlying particle spectrum during huge X-ray flare of Mkn 421 in April 2013
• Multiwavelength Observations of the BL Lacertae Object PKS 2155-304 with XMM-Newton
• On the correlation between the X-ray and gamma-ray emission in TeV blazars
• X-ray Intraday Variability of the TeV Blazar Mrk 421 with {\it Chandra}
• On the multiwavelength emission from Gamma Ray Burst afterglows
• Flux and spectral variability of the blazar PKS 2155-304 with XMM-Newton: Evidence of Particle Acceleration and Synchrotron Cooling
• Implications of automatic photon quenching on compact gamma-ray sources
• Time-dependent modelling of PKS 2155-304 in a low state
• Feasibility Study of Lense-Thirring Precession in LS I +61303
• REM near-IR and optical multiband observations of PKS2155-304 in 2005
• The HAWC real-time flare monitor for rapid detection of transient events
• A numerical study of long-term multi-wavelength blazar variability
• Multi-year characterisation of the broad-band emission from the intermittent extreme BL Lac 1ES~2344+514
• Multiwavelength Observations of the Blazar VER J0521+211 During an Elevated TeV Gamma-Ray State
• Multi-wavelength study of the short term TeV flaring activity from the blazar Mrk 501 observed in June 2014
• Insights from the first flaring activity of a high-synchrotron-peaked blazar with X-ray polarization and VHE gamma rays
• Spontaneously quenched gamma-ray spectra from compact sources
• Observations of very high energy gamma-ray emission from AGNs with the ground-based EAS arrays
• Time-Dependent Modeling of the Sub-Hour Spectral Evolution During the 2013 Outburst of Mrk 421
• Implications of the radio spectral index transition in LS I +61°303 for its INTEGRAL data analysis