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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:20220924T164800Z
UID:indico-event-9087@indico.bnl.gov
DESCRIPTION:Speakers: Vajravelu Ravindran\n\nWe present [hep-ph/2006.06726
] a framework that resums threshold enhanced large logarithms to all orde
rs in perturbation theory for inclusive processes such as the production o
f a pair of leptons in Drell-Yan process and of Higgs boson in gluon fusio
n as well as in bottom quark annihilation at the hadron colliders. In add
ition\, we apply [hep-ph/2007.12214] this to Deep Inelastic Scattering (DI
S) and hadron production in Semi-Inclusive Annihilation (SIA) of electro
n positron colliders. These logarithms include the distributions P(log
^i (1−z))/1−z)) resulting from soft plus virtual (SV) and the logar
ithms log^i (1−z) from next to SV contributions. We use collinear fac
torisation and renormalisation group invariance to achieve this. We find t
hat the resummed result is a solution to Sudakov type differential equatio
n and hence it can predict soft plus virtual contributions as well as next
to SV contributions to all orders in strong coupling constant to the part
onic coefficient function in terms of infrared anomalous dimensions and pr
ocess independent functions. The z space resummed result is shown to have
integral representation which allows us to resum the large logarithms of t
he form logi(N) retaining 1/N corrections resulting from next to SV ter
ms. We show that in N space\, tower of logarithms are summed to all orde
rs in strong coupling constant.\n\nhttps://indico.bnl.gov/event/9087/
URL:https://indico.bnl.gov/event/9087/
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