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- W2019920202 abstract "The renormalization of the $f$, ${f}^{ensuremath{'}}$, $ensuremath{omega}$, and $ensuremath{varphi}$ trajectories through the crossed-loop (or cylinder) insertion is exhaustively studied in the context of dual unitarization. The trajectory functions $ensuremath{alpha}(t)$, mixing angles, and couplings are obtained for the range $ensuremath{-}1.0ensuremath{lesssim}tensuremath{lesssim}2.0$ ${mathrm{GeV}}^{2}$. In particular, it is found that the $f$ is renormalized upwards by a considerable amount, acquiring an intercept ${ensuremath{alpha}}_{f}(0)ensuremath{simeq}0.93$ and slope ${ensuremath{alpha}}_{f}^{ensuremath{'}}(0)ensuremath{simeq}0.4$. It becomes still flatter for $t<0$. These characteristics, together with its symmetry properties, strongly support its identification with the experimental Pomeron. At the same time, the mass splitting of $f$ and ${A}_{2}$ is correctly given as about 0.1 ${mathrm{GeV}}^{2}$. The $ensuremath{omega}$ trajectory is renormalized downwards, and acquires a considerable admixture of the strange component, in agreement with the phenomenological estimates of $frac{{ensuremath{gamma}}_{mathrm{KK}}^{ensuremath{omega}}}{{ensuremath{gamma}}_{mathrm{KK}}^{ensuremath{rho}}}ensuremath{simeq}1.4$. Furthermore, the $t$ dependence of the calculated quantities in general verifies the prediction that renormalization effects decrease as $t$ increases." @default.
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- W2019920202 date "1977-10-01" @default.
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- W2019920202 title "Renormalization of trajectories with zero quantum numbers in dual unitarization" @default.
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- W2019920202 doi "https://doi.org/10.1103/physrevd.16.2353" @default.
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