Abstract:
A method for reducing the problem of calculating multiparticle tree cross sections in
φ4 theory to the solution of a singular classical Euclidean boundary-value problem is introduced. The solutions are obtained numerically in terms of the spherical harmonic decomposition, and the corresponding estimates of the tree cross sections are found at arbitrary energies. Numerical analysis agrees with analytic results obtained earlier in the limiting cases of high and low energies.
Citation:
F. L. Bezrukov, “Using singular classical solutions for calculating multiparticle cross sections in field theory”, TMF, 115:3 (1998), 358–372; Theoret. and Math. Phys., 115:3 (1998), 647–657
\Bibitem{Bez98}
\by F.~L.~Bezrukov
\paper Using singular classical solutions for calculating multiparticle cross sections in field theory
\jour TMF
\yr 1998
\vol 115
\issue 3
\pages 358--372
\mathnet{http://mi.mathnet.ru/tmf879}
\crossref{https://doi.org/10.4213/tmf879}
\zmath{https://zbmath.org/?q=an:0991.81075}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 3
\pages 647--657
\crossref{https://doi.org/10.1007/BF02575488}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075883900003}
Linking options:
https://www.mathnet.ru/eng/tmf879
https://doi.org/10.4213/tmf879
https://www.mathnet.ru/eng/tmf/v115/i3/p358
This publication is cited in the following 8 articles:
S. Demidov, B. Farkhtdinov, D. Levkov, “Numerical Study of Multiparticle Production in λϕ4 Theory”, Phys. Part. Nuclei Lett., 20:3 (2023), 229
S. V. Demidov, B. R. Farkhtdinov, D. G. Levkov, “Suppression exponent for multiparticle production in λϕ4 theory”, J. High Energ. Phys., 2023:2 (2023)
S. V. Demidov, D. G. Levkov, B. R. Farkhtdinov, “Numerical study of multiparticle production in $\phi^4$ theory: comparison with analytical results”, JETP Letters, 114:11 (2021), 649–652
DeCross M.P., Kaiser D.I., Prabhu A., Prescod-Weinstein Ch., Sfakianakis E.I., “Preheating After Multifield Inflation With Nonminimal Couplings. III. Dynamical Spacetime Results”, Phys. Rev. D, 97:2 (2018), 023528
Demidov S.V., Farkhtdinov B.R., “Numerical Study of Multiparticle Scattering in Lambda Phi(4) Theory”, J. High Energy Phys., 2018, no. 11, 068
Belyaev A., Bezrukov F., Shepherd Ch., Ross D., “Problems With Higgsplosion”, Phys. Rev. D, 98:11 (2018), 113001
Degrande C., Khoze V.V., Mattelaer O., “Multi-Higgs-boson production in gluon fusion at 100?TeV”, Phys. Rev. D, 94:8 (2016), 085031
Alberte L., Bezrukov F., “Semiclassical Calculation of Multiparticle Scattering Cross Sections in Classicalizing Theories”, Phys. Rev. D, 86:10 (2012), 105008