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Ellipticity of dilepton production from a hot and magnetized hadronic medium

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Abstract

We study the azimuthal angle and transverse momentum dependence of dilepton production from hot and magnetized hadronic matter using \(\rho ^0\)-meson dominance. The thermomagnetic spectral function of the \(\rho ^0\) is evaluated using the real time method of thermal field theory and Schwinger proper-time formulation. A continuous spectrum is obtained in which there is sizeable Landau cut contributions in the low invariant mass region as a consequence of finite background field. The emission rate of the dileptons is found to be significantly anisotropic in this region and the later effectively increases with the strength of the background field. In addition, we also evaluate the elliptic flow parameter (\(v_2\)) as a function of invariant mass for different values of magnetic field and temperature. We find that in low invariant mass region \(v_2\) remains positive at lower values of eB signifying that the production rate could be larger along the direction transverse to the background field. This behaviour is consistent with the angular dependence of dilepton production rate.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and thus the manuscript has no associated data. All the analytical expressions required to generate the plots are given in the manuscript.]

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Acknowledgements

R.M., N.C., S.S. and P.R. are funded by the Department of Atomic Energy (DAE), Government of India. S.G. is funded by the Department of Higher Education, Government of West Bengal, India.

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Authors and Affiliations

  1. Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata, 700064, India

    Rajkumar Mondal, Nilanjan Chaudhuri & Sourav Sarkar

  2. Government General Degree College Kharagpur-II, Paschim Medinipur, West Bengal, 721149, India

    Snigdha Ghosh

  3. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India

    Pradip Roy

  4. Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai, 400085, India

    Rajkumar Mondal, Nilanjan Chaudhuri, Sourav Sarkar & Pradip Roy

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  1. Rajkumar Mondal
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Correspondence to Snigdha Ghosh.

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Communicated by Ralf Rapp.

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Mondal, R., Chaudhuri, N., Ghosh, S. et al. Ellipticity of dilepton production from a hot and magnetized hadronic medium. Eur. Phys. J. A 59, 287 (2023). https://doi.org/10.1140/epja/s10050-023-01201-6

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