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- W2045490517 abstract "Because of the failure of the dilute-instanton-gas approximation (DIGA) at high energies, recent calculations of ($B+L$)-violating processes in the standard model show blatant violations of unitarity, and suggest that these processes may be relatively unsuppressed at multiplicities $Nensuremath{sim}{ensuremath{alpha}}_{W}^{ensuremath{-}1}$. We show how to cure the DIGA failure and restore the high-energy behavior necessary for consistency with unitarity in two ways: one in Minkowski space and the other in Euclidean space. In Euclidean space this is done by solving the classical field equations in the presence of space-time-dependent sources; we work out an explicit example. The same techniques allow us to investigate a similar failure of high-energy behavior in perturbation theory [($B+L$)-conserving processes] as studied with the DIGA in the manner of Lipatov. An independent Minkowski-space analysis, also dealing with classical solutions in the presence of sources, confirms these results and shows that even with the right high-energy behavior, factors growing rapidly with $N$ when $Nensuremath{ge}{ensuremath{alpha}}_{W}^{ensuremath{-}1}$ still violate unitarity in the ($B+L$)-conserving sector. Within the framework of a simple model which automatically restores unitarity, we investigate whether dispersion integrals relating high- and low-energy ($B+L$)-violating processes can restrict the size of the high-energy $B+L$ violation, and find that they cannot." @default.
- W2045490517 created "2016-06-24" @default.
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- W2045490517 date "1992-03-15" @default.
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- W2045490517 title "High-energy multileg electroweak processes and unitarity" @default.
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- W2045490517 doi "https://doi.org/10.1103/physrevd.45.2105" @default.
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