Scattering amplitudes at multi TeV energies
| dc.creator | Yndurain, F. J. | |
| dc.date | 2004-04-23 | |
| dc.date.accessioned | 2026-07-07T03:52:23Z | |
| dc.date.available | 2026-07-07T03:52:23Z | |
| dc.description | We show that a generalized Regge behaviour, $$Im F(s,t)\simeq Φ(t)(\log s/\hat{s})^{ν(t)}(s/\hat{s})^{α_P(t)},\quad{\rm for} |t|<|t_0|, s\to\infty$$ where $Φ(t)\simeq e^{bt}$, $α_P(t)\simeq α_P(0)+α'_P(0)t$, and $t_0$ is the first zero of $α_P(t)$, $α_P(t_0)=0$, implies that the corresponding cross section is bounded by $$σ_{\rm tot}(s)<({\rm Const.})\times\log s/\hat{s}.$$ This growth, however, is not sufficient to fit the experimental cross sections. If, instead of this, we assume saturation of the improved Froissart bound, i.e., a behaviour $$Im F(s,0)\simeq A(s/\hat{s})\log^2{{s}\over{s_1\log^{7/2} s/s_2}}, $$ a good fit is obtained to $ππ$, $πN$, $KN$ and $NN$ cross sections from c.m. kinetic energy $E_{\rm kin}\simeq1 $ GeV to 30 TeV (producing a cross section of $108\pm6$ mb at LHC energy). This suggests that the Regge-type behaviour only holds for values of the momentum transfer very near zero. | |
| dc.description | Plain TeX. Dedicated to Prof. Yuri Simonov in his 70th birthday | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0404204 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0404204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/43445 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Scattering amplitudes at multi TeV energies | |
| dc.type | text |