Theoretical study of the Compton effect with correlated three-photon emission: From the differential cross section to high-energy triple-photon entanglement

Lötstedt, Erik

doi:10.1103/physreva.87.033401

Cited by 11 publications

(5 citation statements)

References 102 publications

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“…The discrepancy for higher energies is quite expected due to inapplicability of the soft-photon approximation for the parameter ω 0 = ω 1 50 = s−m 2 e 100me chosen in ref. [28].…”

Section: )mentioning

confidence: 99%

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

Lee

Lyubyakin

Stotsky

2021

J. High Energ. Phys.

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Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e−γ →$$ {e}^{-}X\overline{X} $$ e − X X ¯ with X = μ, γ or e at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of e−γ → e−e−e+ is represented as a one-fold integral of complete elliptic integral K and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.

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“…The discrepancy for higher energies is quite expected due to inapplicability of the soft-photon approximation for the parameter ω 0 = ω 1 50 = s−m 2 e 100me chosen in ref. [28].…”

Section: )mentioning

confidence: 99%

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

Lee

Lyubyakin

Stotsky

2021

J. High Energ. Phys.

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“…The discrepancy for higher energies is quite expected due to inapplicability of the softphoton approximation for the parameter ω 0 = ω 1 50 = s−m 2 e 100me chosen in Ref. [26].…”

Section: Resultsmentioning

confidence: 99%

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

Lee,

Lyubyakin,

Stotsky

2020

Preprint

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Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e − γ → e − X X with X = µ, γ or e at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of e − γ → e − e − e + is represented as a one-fold integral of complete elliptic integral K and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.

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“…* Multiple Thomson scattering has been previously discussed in, for instance, Refs. [19][20][21]. One would naively expect that the cross section for n-photon emission would scale as σ n ∼ α n−1 σ Thomson ; while this is true in the high-energy regime (E γ m e ), up to logarithmic corrections [22,23], in the nonrelativistic regime the cross section has the form [21,24]…”

Section: Rates and Backgroundsmentioning

confidence: 99%

Shining light on the mass scale and nature of neutrinos with eγ→eνν¯

et al. 2018

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The discovery of neutrino oscillations invites many fundamental physics questions that have yet to be answered. Two of these questions are simple, easy to state, and essential: What are the values of the neutrino masses? Are neutrinos Majorana fermions? The reason we don't know the answer to those questions is that it is difficult to measure neutrino properties outside of the ultrarelativistic regime. We discuss the physics of eγ → eνν near threshold, where one has access to nonrelativistic neutrinos and only nonrelativistic neutrinos. Near threshold, eγ → eνν is a rich phenomenon and its cross section is sensitive to the individual values of the neutrino masses and the nature of the neutrinos. We show that if one could scan the threshold region, it would be simple to identify the mass of the lightest neutrino, the neutrino mass ordering, and whether the neutrinos are Majorana fermions. In practice, however, event rates are tiny and backgrounds are huge; the observation of eγ → eνν in the sub-eV regime appears to be utterly inaccessible in the laboratory. Our results, nonetheless, effectively illustrate the discriminatory power of nonrelativistic neutrino observables.

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Theoretical study of the Compton effect with correlated three-photon emission: From the differential cross section to high-energy triple-photon entanglement

Cited by 11 publications

References 102 publications

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

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

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

Shining light on the mass scale and nature of neutrinos with eγ→eνν¯

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