Abstract
The effective kinematic diagram technique is applied to study inelastic form factors of electron and quark in QED and QCD. The explicit expressions for these form factors in the double-logarithmic approximation are presented. The self-consistency of the results is shown by demonstrating the fulfillment of the Kinoshita–Lee–Nauenberg theorem.
Highlights
Precise computation of the elastic and inelastic fermion form factors in hard collisions is required to test the predictive power of the Standard Model, as well as the effective and unambiguous detection of signals of New Physics at modern and future colliders
Since the pioneering calculation of the resumed doublelogarithmic (DL) corrections to the elastic electron form factor in Quantum ElectroDynamics (QED) [3], significant progress has been made in evaluation of the next-to-leading logarithmic contributions [4, 5], as well as in generalization of these results to the strong (QCD) and electroweak (EW) sectors of the Standard Model
For a set of Feynman diagrams (FD) with n virtual vector bosons, the main DL contribution arises from the region where their transversal momenta are strictly ordered s ≫ k2i1 ≫ k2i2 ≫ · · · ≫ k2in ≫ λ2
Summary
Precise computation of the elastic and inelastic fermion form factors in hard collisions is required to test the predictive power of the Standard Model, as well as the effective and unambiguous detection of signals of New Physics at modern and future colliders (see, e.g., [1] and references therein). Since the pioneering calculation of the resumed doublelogarithmic (DL) corrections to the elastic electron form factor in QED [3], significant progress has been made in evaluation of the next-to-leading logarithmic contributions [4, 5], as well as in generalization of these results to the strong (QCD) and electroweak (EW) sectors of the Standard Model (see, e.g., [6, 7, 9], and references therein). Where s = −q2 and the mass λ of the virtual vector boson is introduced in order to regulate the IR divergence Such a strong suppression of elastic form factor is quite natural since it reflects a small probability for an electron to remain to be itself in this process. Inelastic processes with emission of one or several real vector
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