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  1. Article

    Open Access

    Addendum to: The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order \( O\left({\alpha}_s^4\right) \)

    P. A. Baikov, S. V. Mikhailov in Journal of High Energy Physics (2023)

  2. Article

    Open Access

    The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( \( {\alpha}_s^4 \) )

    We derive explicit expressions for the elements of the {β}-expansion for the nonsinglet Adler DA-function and Bjorken polarized sum rules SBjp in the N4LO using recent results by Chetyrkin for these quantities co...

    P. A. Baikov, S. V. Mikhailov in Journal of High Energy Physics (2022)

  3. Article

    Open Access

    Transcendental structure of multiloop massless correlators and anomalous dimensions

    We give a short account of recent advances in our understanding of the π- dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions (ADs) and β-functions. We extend the ...

    P.A. Baikov, K.G. Chetyrkin in Journal of High Energy Physics (2019)

  4. Article

    Open Access

    The structure of generic anomalous dimensions and no-π theorem for massless propagators

    Extending an argument of [1] for the case of 5-loop massless propagators we prove a host of new exact model-independent relations between contributions proportional to odd and even zetas in generic ...

    P. A. Baikov, K. G. Chetyrkin in Journal of High Energy Physics (2018)

  5. Article

    Open Access

    Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

    We extend the O

    P.A. Baikov, K.G. Chetyrkin, J.H. Kühn in Journal of High Energy Physics (2017)

  6. Article

    Open Access

    Quark mass and field anomalous dimensions to \( \mathcal{O}\left({\alpha}_s^5\right) \)

    We present the results of the first complete analytic calculation of the quark mass and field anomalous dimensions to ...

    P. A. Baikov, K. G. Chetyrkin, J. H. Kühn in Journal of High Energy Physics (2014)

  7. No Access

    Chapter and Conference Paper

    Parallel Computer Algebra and Feynman Integrals

    Relativistic quantum field theories are the mathematical tools which are indispensable in modern particle physics. In particular in combination with perturbation theory, realized with the help of so-called Fey...

    P. A. Baikov, K. G. Chetyrkin, J. H. Kühn in High Performance Computing in Science and … (2013)

  8. No Access

    Article

    Vector correlator in massless QCD at order \( \mathcal{O}\left( {\alpha_s^4} \right) \) and the QED β-function at five loop

    We present a concise summary of recent results for the vector correlator in massless QCD at order $ \mathcal{O}\left( {\alpha_s^4} \ri...

    P. A. Baikov, K. G. Chetyrkin, J. H. Kühn, J. Rittinger in Journal of High Energy Physics (2012)

  9. No Access

    Article

    QCD corrections to hadronic Z and \(\bf{\tau}\) decays

    We present a brief (mainly bibliographical) report on recently performed calculations of terms of order $\mathcal{O}(\alpha_s^4 n_f^2)...

    P.A. Baikov, K.G. Chetyrkin, J.H. Kühn in The European Physical Journal C - Particle… (2004)

  10. No Access

    Article

    Status of γ5 in dimensional regularization

    P. A. Baikov, V. A. Il'in in Theoretical and Mathematical Physics (1991)