\begin{document}$ep$\end{document} scattering. By taking four low energy interactions as examples, we analyze kinematical singularities, asymptotic behaviors, and branch cuts of TPE amplitudes. The analytical expressions clearly indicate several exact relations between the dispersion relation (DR) and hadronic model (HM) methods. This suggests that the two methods must be modified to general forms, while novel forms yield the same results. After the modification, new DRs include a non-trivial term with two singularities. Furthermore, new DRs automatically include contributions due to the seagull interaction, meson-exchange effect, contact interactions, and off-shell effect. To analyze the elastic \begin{document}$e^{\pm}p$\end{document} scattering data sets, the new forms must be used."> Exact relations for two-photon-exchange effect in elastic <i>ep</i> scattering by dispersion relation and hadronic model -
  • [1]

    M. K. Joneset al., Phys. Rev. Lett.84, 1398 (2000)

  • [2]

    O. Gayouet al., Phys. Rev. Lett.88, 092301 (2002)

  • [3]

    I. A. Qattanet al., Phys. Rev. Lett.94, 142301 (2005)

  • [4]

    A. J. R. Puckettet al., Phys. Rev. Lett.104, 242301 (2010)

  • [5]

    M. Mezianeet al., (GEp2γ Collaboration), Phys. Rev. Lett.106, 132501 (2011)

  • [6]

    D. Adikaramet al., Phys. Rev. Lett.114, 062003 (2015)

  • [7]

    I.A. Racheket al., Phys. Rev. Lett.114, 062005 (2015)

  • [8]

    Brian S. Henderson, PoS310, 149 (2018)

  • [9]

    W. Xionget al., Nature575, 147-150 (2019)

  • [10]

    B. Gouet al., Phys. Rev. Lett.124, 122003 (2020)

  • [11]

    R. Gilmanet al. (MUSE Collaboration), arXiv:1709.09753

  • [12]

    P. G. Blunden, W. Melnitchuk, and J. A. Tjon, Phys. Rev.Lett.91, 142304 (2003)

  • [13]

    S. Kondratyuk, P. G. Blunden, W. Melnitchuket al., Phys. Rev. Lett.95, 172503 (2005)

  • [14]

    P. G. Blunden, W. Melnitchuk, and J. A. Tjon, Phys. Rev. C72, 034612 (2005)

  • [15]

    Y. C. Chen, A. Afanasev, S. J. Brodskyet al., Phys. Rev. Lett.93, 122301 (2004)

  • [16]

    A. Afanasev, S. J. Brodsky, C. E. Carlsonet al., Phys. Rev. D72, 013008 (2005)

  • [17]

    D. Borisyuk and A. Kobushkin, Phys. Rev. C74, 065203 (2006)

  • [18]

    D. Borisyuk and A. Kobushkin, Phys. Rev. C83, 025203 (2011)

  • [19]

    D. Borisyuk and A. Kobushkin, Phys. Rev. C86, 055204 (2012)

  • [20]

    D. Borisyuk and A. Kobushkin, Phys. Rev. C89, 025204 (2014)

  • [21]

    P. G. Blunden and W. Melnitchouk, Phys. Rev. C95, 065209 (2017)

  • [22]

    O. Tomalak and M. Vanderhaeghen, Eur. Phys. J. A51, 24 (2015)

  • [23]

    O. Tomalak, B. Pasquini, and M. Vanderhaeghen, Phys. Rev. D96, 096001 (2017)

  • [24]

    N. Kivel and M. Vanderhaeghen, Phys. Rev. Lett.103, 092004 (2009)

  • [25]

    D. Borisyuk and A. Kobushkin, Phys. Rev. C79, 034001 (2009)

  • [26]

    N. Kivel and M. Vanderhaeghen, J. High Energy Phys.04, 029 (2013)

  • [27]

    P. Talukdar, V. C. Shastry, U. Rahaet al., Phys. Rev. D101, 013008 (2020)

  • [28]

    Y. C. Chen, C. W. Kao, and S. N. Yang, Phys. Lett. B652, 269 (2007)

  • [29]

    D. Borisyuk and A. Kobushkin, Phys. Rev. C76, 022201 (2007)

  • [30]

    M. Belushkin, H. W. Hammer, and U.-G. Meißner, Phys. Lett. B658, 138-142 (2008)

  • [31]

    I. Lorenz, U.-G. Meißner, H. W. Hammeret al., Phys. Rev. D91, 014023 (2015)

  • [32]

    I. Qattan, Phys. Rev. C95(5), 055205 (2017)

  • [33]

    Hong-Yu Chen and Hai-Qing Zhou, Phys. Rev. C90, 045205 (2014)

  • [34]

    O. Koshchii and A. Afanasev, Phys. Rev. D94, 116007 (2016)

  • [35]

    O. Koshchii and A. Afanasev, Phys. Rev. D100, 096020 (2019)

  • [36]

    D. Borisyuk, Phys. Rev. C96, 055201 (2017)

  • [37]

    Hai-Qing Zhou, Phys. Rev. C95, 025203 (2017)

  • [38]

    A. E. Dorokhov, N. I. Kochelev, A. P. Martynenkoet al., Phys. Lett. B776, 105-110 (2018)

  • [39]

    E. Dorokhov, N. I. Kochelev, A. P. Martynenkoet al., Eur. Phys. J. A54, 131 (2018)

  • [40]

    R. Mertig, M. Bohm, and A. Denner, Comput. Phys. Commun.64, 345 (1991)

  • [41]

    V. Shtabovenko, R. Mertig, and F. Orellana, Comput. Phys. Commun.207, 432 (2016)

  • [42]

    H. H. Patel, Comput. Phys. Commun.197, 276-290 (2015)

  • [43]

    H. H. Patel, Comput. Phys. Commun.218, 66-70 (2017)

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