Resummation of QED radiative corrections in a strong constant crossed field
A. A. Mironov, S. Meuren, A. M. Fedotov
备注：
18 pages, 8 figures, 2 tables. A deep revision was made: Sections III A and Section V are completely rewritten [in particular, by including the new Eqs. (28), (56), (57) and Table II]; Figure 3 is modified; the Appendix is extended with new Eqs. (A.1), (A.10), (A.11) and Figure 8; new references are added, a lot of other small improvements are implemented
By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $g=αχ^{2/3}$, where the dynamical quantum parameter $χ=e\sqrt{-(Fp)^2}/m^3$ combines the particle momentum $p$ with the external field strength tensor $F$. Here we present and discuss the first non-perturbative result in this context, the resummed bubble-type polarization corrections to the electron self-energy in a constant crossed field. Our analysis confirms the relevance of the scaling parameter $g$ to the enhancement of bubble-type radiative corrections. This parameter actually represents the characteristic value of the ratio of the 1-loop polarization bubble to the photon virtuality. After an all-order resummation we identify and discuss two contributions to the self-energy with different formation regions and asymptotic behavior for $g\gg1$. Whereas the breakdown of perturbation theory occurs already for $g\gtrsim1$, the leading-order result remains dominant until the asymptotic regime $g\gg 1$ is reached. However, the latter is specific to processes like elastic scattering or photon emission and does not have to remain true for general higher-order QED processes.
Transverse-momentum resummation at mixed QCD$\otimes$QED NNLL accuracy for Z boson production at hadron colliders
Instituto de Física Corpuscular (IFIC), CSIC-Universitat de València（粒子物理研究所（IFIC），西班牙瓦伦西亚大学）；CERN（欧洲核子研究中心）；Tif Lab, Dipartimento di Fisica, Universitá di Milano and INFN, Sezione di Milano（米兰大学物理系及意大利国家核物理研究院米兰分部）；Departamento de Física Fundamental e IUFFyM, Universidad de Salamanca（萨拉曼卡大学基础物理系）
Cutting rules in strong field QED with application to trident pair production
National Research Nuclear University MEPhI（国立核研究大学莫斯科工程物理学院）；CPHT, CNRS, École polytechnique, Institut Polytechnique de Paris（巴黎综合理工学院高等物理与化学中心，法国国家科学研究中心，巴黎理工学院）
The sixth order QED radiative corrections to lepton anomalies due to the fourth order vacuum polarization insertions within the Mellin-Barnes representation
