Total cross sections of eγ → $$ eX\overline{X} $$ processes with X = μ, γ, e via multiloop methods

Lee, Roman N.; Lyubyakin, Alexey A.; Stotsky, Vyacheslav A.

doi:10.1007/jhep01(2021)144

Cited by 8 publications

(8 citation statements)

References 29 publications

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“…[10]). The complete analytical result for the total cross section of the latter was first computed only recently [11] (using the same technology developed for this paper), confirming the leading high-energy asymptotics of Bethe and Heitler. The analytic e + e − → γγ cross section at NLO has also been completed within the last year by the same methods [12].…”

supporting

confidence: 71%

“…Recently, the total cross section for double Compton scattering has been calculated in Ref. [11]. The asymptotic behavior of Compton scattering at high energy at the amplitude level has been examined by numerous authors (e.g.…”

mentioning

confidence: 99%

“…There are also contributions to the total e − γ cross section at order α 3 from final states with 3 charged particles. These were computed in [11] so we do not consider them here.…”

mentioning

confidence: 99%

“…We check the results for the master integrals by constructing their sums which determine the imaginary parts of the corresponding uncut diagrams and evaluating the latter numerically using Fiesta [24]. More details of related calculations using the same technology can be found in [11,12]. We use dimensional regularization d = 4 − 2 to regulate the infrared and ultraviolet divergences.…”

mentioning

confidence: 99%

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The Compton Scattering Total Cross Section at Next-to-Leading Order

Lee,

Schwartz,

Zhang

2021

Preprint

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An analytic formula is given for the total scattering cross section of an electron and a photon at order α 3 . This includes both the double-Compton scattering real-emission contribution as well as the virtual Compton scattering part. When combined with the recent analytic result for the pair-production cross section, the complete α 3 cross section is now known. Both the next-to-leading order calculation as well as the pair-production cross section are computed using modern multiloop calculation techniques, where cut diagrams are decomposed into a set of master integrals that are then computed using differential equations.

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supporting

confidence: 71%

mentioning

confidence: 99%

“…There are also contributions to the total e − γ cross section at order α 3 from final states with 3 charged particles. These were computed in [11] so we do not consider them here.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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The Compton Scattering Total Cross Section at Next-to-Leading Order

Lee,

Schwartz,

Zhang

2021

Preprint

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“…This strategy was successfully applied to several complicated Feynman integrals for which no canonical form can be reached via an algebraic transformation matrix M(x; ), see, e.g., refs. [80,104,[108][109][110][111][112][113].…”

Section: Gauss-manin-type Differential Equationsmentioning

confidence: 99%

Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives

Bönisch¹,

Duhr²,

Fischbach³

et al. 2021

Preprint

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We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals. From this we derive several consequences for multi-loop integrals in general, and we illustrate them on the example of multi-loop banana integrals. For example, we show how Griffiths transversality, known from the theory of variation of mixed Hodge structures, leads quite generically to a set of quadratic relations among maximal cut integrals associated to Calabi-Yau motives. These quadratic relations then naturally lead to a compact expression for l-loop banana integrals in D = 2 dimensions in terms of an integral over a period of a Calabi-Yau (l − 1)-fold. This new integral representation generalizes in a natural way the known representations for l ≤ 3 involving logarithms with square root arguments and iterated integrals of Eisenstein series. In a second part, we show how the results obtained by some of the authors in earlier work can be extended to dimensional regularization. We present a method to obtain the differential equations for banana integrals with an arbitrary number of loops in dimensional regularization without the need to solve integration-by-parts relations. We also present a compact formula for the leading asymptotics of banana integrals with an arbitrary number of loops in the large momentum limit. This generalizes the novel Γ-class introduced by some of the authors to dimensional regularization and provides a convenient boundary condition to solve the differential equations for the banana integrals. As an application, we present for the first time numerical results for equal-mass banana integrals with up to four loops and up to second order in the dimensional regulator.

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Charge asymmetry in the spectra of bremsstrahlung and pair production

Krachkov

Lee

2023

J. High Energ. Phys.

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We calculate the first Coulomb correction to the spectra of two processes: the electron bremsstrahlung and electron-positron photoproduction in the Coulomb field. We show that, in contrast to the results obtained in the Born approximation and in the high-energy limit, the obtained corrections for these two process are not related by the crossing symmetry substitutions. The found corrections determine the leading contribution to the charge asymmetry in these processes. We use modern multiloop methods based on the IBP reduction and on the differential equations for master integrals. The results are presented in terms of classical polylogarithms. We provide both the threshold and the high-energy asymptotics of the obtained expressions and compare them with available results.

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Total cross sections of eγ → $$ eX\overline{X} $$ processes with X = μ, γ, e via multiloop methods

Cited by 8 publications

References 29 publications

The Compton Scattering Total Cross Section at Next-to-Leading Order

The Compton Scattering Total Cross Section at Next-to-Leading Order

Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives

Charge asymmetry in the spectra of bremsstrahlung and pair production

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