منابع مشابه
Two-Loop Form Factors in QED
We evaluate the on shell form factors of the electron for arbitrary momentum transfer and finite electron mass, at two loops in QED, by integrating the corresponding dispersion relations, which involve the imaginary parts known since a long time. The infrared divergences are parameterized in terms of a fictitious small photon mass. The result is expressed in terms of Harmonic Polylogarithms of ...
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We carry out a systematic investigation of all the 2-loop integrals occurring in the electron vertex in QED in the continuous D-dimensional regularization scheme, for on-shell electrons, momentum transfer t = −Q2 and finite squared electron mass me = a. We identify all the Master Integrals (MI’s) of the problem and write the differential equations in Q2 which they satisfy. The equations are exp...
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Within Chiral Perturbation Theory (CHPT) we compute the form factors A, V and γ = A/V in the π → lνγ decay to O(p 6).
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so we take the incoming and the outgoing electrons to be on-shell, p2 = p′2 = m2, but the photon is off-shell, q2 6= 0. Moreover, we put the vertex in the context of the complete electron line — including the external line factors, thus ū(p′)× ieΓμ × u(p). As discussed in class, this simplifies the Lorentz and Dirac structure of the vertex and allows us to write it as Γ(p, p) = Fel(q )× (p′ + p...
متن کاملThe QED vacuum polarization function at four loops and the anomalous magnetic moment at five loops
The anomalous moment of the muon is one of the most fundamental observables. It has been measured experimentally with a very high precision and on theory side the contributions from perturbative QED have been calculated up to five-loop level by numerical methods. Contributions to the muon anomalous magnetic moment from certain diagram classes are also accessible by alternative methods. In this ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2004
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2003.10.031