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Relevant bibliographies by topics / Three-loop QED vacuum polarisation

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Academic literature on the topic 'Three-loop QED vacuum polarisation'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Three-loop QED vacuum polarisation"

1

Boyle, Peter, Vera Gülpers, James Harrison, Andreas Jüttner, Antonin Portelli, and Christopher Sachrajda. "Numerical investigation of finite-volume effects for the HVP." EPJ Web of Conferences 175 (2018): 06022. http://dx.doi.org/10.1051/epjconf/201817506022.

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It is important to correct for finite-volume (FV) effects in the presence of QED, since these effects are typically large due to the long range of the electromagnetic interaction. We recently made the first lattice calculation of electromagnetic corrections to the hadronic vacuum polarisation (HVP). For the HVP, an analytical derivation of FV corrections involves a two-loop calculation which has not yet been carried out. We instead calculate the universal FV corrections numerically, using lattice scalar QED as an effective theory. We show that this method gives agreement with known analytical

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2

PIMENTEL, B. M., A. T. SUZUKI, and J. L. TOMAZELLI. "VACUUM POLARIZATION TENSOR IN THREE-DIMENSIONAL QUANTUM ELECTRODYNAMICS." International Journal of Modern Physics A 07, no. 21 (1992): 5307–16. http://dx.doi.org/10.1142/s0217751x92002428.

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We evaluate the one-loop vacuum polarization tensor for three-dimensional quantum electrodynamics (QED), using an analytic regularization technique, implemented in a gauge-invariant way. We show thus that a gauge boson mass is generated at this level of radiative correction to the photon propagator. We also point out in our conclusions that the generalization for the non Abelian case is straightforward.

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3

Gorishny, S. G., A. L. Kataev та S. A. Larin. "The three-loop QED photon vacuum polarization function in the -scheme and the four-loop QED β-function in the on-shell scheme". Physics Letters B 273, № 1-2 (1991): 141–44. http://dx.doi.org/10.1016/0370-2693(91)90568-b.

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4

Defu, Hou, and Li Jiarong. "Finite Temperature Dimensional Regularization to Three-Loop Vacuum Graphs of Massless QED in Arbitrary Gauge." Communications in Theoretical Physics 30, no. 1 (1998): 107–12. http://dx.doi.org/10.1088/0253-6102/30/1/107.

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5

HARRIS, B. A., and G. C. JOSHI. "MATRIX ELEMENT AND COMPLEX l PLANE EVALUATION OF TWO-LOOP VACUUM AMPLITUDES IN QED ON S4." International Journal of Modern Physics A 10, no. 09 (1995): 1281–327. http://dx.doi.org/10.1142/s0217751x95000620.

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In this paper we further develop our matrix element and complex angular momentum summation techniques, in order to calculate both the one-loop free field and two-loop interacting vacuum diagrams in field theory on a four-sphere. In the case of the free field diagrams, we show how the sums may be evaluated by integrating over an analytic function with both poles and branch cuts where the discontinuity across the cuts determines the result. We then extend the matrix element formalism to multiple angular momenta involving the addition of angular momenta and the associated Clebsch-Gordon type sele

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6

ARGERI, MARIO, and PIERPAOLO MASTROLIA. "FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS." International Journal of Modern Physics A 22, no. 24 (2007): 4375–436. http://dx.doi.org/10.1142/s0217751x07037147.

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We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly in D. Finally, we treat two cases of less trivial differential equations, respectively associated to a two-loop three-point, and a four-loop two-point integral. These two examples are the playgrounds for showing more technical aspects about: Laure

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7

Gorishny, S. G., A. L. Kataev та S. A. Larin. "The three-loop QED photon vacuum polarization function in the -scheme and the four-loop QED β-function in the on-shell scheme [Phys. Lett. B 273 (1991) 141; B 275 (1992) 512 (E)]". Physics Letters B 341, № 3-4 (1995): 448. http://dx.doi.org/10.1016/0370-2693(95)80028-v.

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8

Gorishny, S. "The three-loop QED photon vacuum polarization function in the ?-scheme and the four-loop QED β-function in the on-shell scheme [Phys. Lett. B 273 (1991) 141; B 275 (1992) 512 (E)]". Physics Letters B 341, № 3-4 (1995): 448. http://dx.doi.org/10.1016/0370-2693(94)01517-g.

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9

Nesterenko, A. V. "Addendum: Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment (2022 J. Phys. G: Nucl. Part. Phys. 49 055001)." Journal of Physics G: Nuclear and Particle Physics 50, no. 2 (2022): 029401. http://dx.doi.org/10.1088/1361-6471/aca3c1.

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Abstract This addendum provides results complementary to those obtained in [J. Phys. G 49, 055001 (2022)]. Specifically, an equivalent form of the relation, which binds together the ‘spacelike’ kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment a μ HVP , is obtained. It is shown that the infrared limiting value of the ‘spacelike’ and ‘timelike’ kernel functions, which enter the representations for a μ HVP involving the Adler function and the R-ratio, is identical to the corresponding QED contribution to the muon anomalous magnetic moment of

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Dissertations / Theses on the topic "Three-loop QED vacuum polarisation"

1

Abraham, Kuruvilla Joseph. "Two loop relation between vacuum polarisation and the trace anomaly in QED /." Bern, 1988. http://www.ub.unibe.ch/content/bibliotheken_sammlungen/sondersammlungen/dissen_bestellformular/index_ger.html.

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2

Ghosh, Shayan. "Analytical Mellin-Barnes techniques with applications to two-loop SU(3) chiral perturbation theory and QED at higher loops." Thesis, 2018. https://etd.iisc.ac.in/handle/2005/5432.

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The present era is one of precision in particle physics. To account for the lacunae in the otherwise successful Standard Model, observables are calculated to high precision in various theoretical models, which are then tested against experimental data to determine whether a given model is realised in nature. In perturbative quantum eld theoretical models, higher order calculations require the evaluation of multi-loop diagrams with multiple mass scales. Although an advanced technology has been developed to evaluate these loop integrals, the majority of techniques are still numerical in n

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