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SUMMARY:[NT/RIKEN seminar] On next to soft corrections to Inclusive cross
sections at the colliders
DTSTART;VALUE=DATE-TIME:20200911T130000Z
DTEND;VALUE=DATE-TIME:20200911T150000Z
DTSTAMP;VALUE=DATE-TIME:20220121T143730Z
UID:indico-event-9087@indico.bnl.gov
DESCRIPTION:We present [hep-ph/2006.06726] a framework that resums thresh
old enhanced large logarithms to all orders in perturbation theory for inc
lusive processes such as the production of a pair of leptons in Drell-Yan
process and of Higgs boson in gluon fusion as well as in bottom quark anni
hilation at the hadron colliders. In addition\, we apply [hep-ph/2007.122
14] this to Deep Inelastic Scattering (DIS) and hadron production in Sem
i-Inclusive Annihilation (SIA) of electron positron colliders. These log
arithms include the distributions P(log^i (1−z))/1−z)) resulting fr
om soft plus virtual (SV) and the logarithms log^i (1−z) from next to
SV contributions. We use collinear factorisation and renormalisation grou
p invariance to achieve this. We find that the resummed result is a soluti
on to Sudakov type differential equation and hence it can predict soft plu
s virtual contributions as well as next to SV contributions to all orders
in strong coupling constant to the partonic coefficient function in terms
of infrared anomalous dimensions and process independent functions. The z
space resummed result is shown to have integral representation which allow
s us to resum the large logarithms of the form logi(N) retaining 1/N co
rrections resulting from next to SV terms. We show that in N space\, tower
of logarithms are summed to all orders in strong coupling constant.\n\n
https://indico.bnl.gov/event/9087/
LOCATION:
URL:https://indico.bnl.gov/event/9087/
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