Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-04-25
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages,no figure. Talk given by Chong Sheng Li at the Workshop on the Frontiers of Theoretical Physics and Cross-Disciplinar
Scientific paper
We review soft-collinear effective theory (SCET), and apply it to discuss quark electromagnetic form factor, then present the resumed transverse momentum distribution of Higgs-boson production via gluon fusion under this framework, where we derive a relatively full differential formula in transverse momentum $Q_T$ space like one which have been obtained by Dokshitzer-D'Yanov-Troyan (DDT) in perturbative Quantum Chromodynamics (pQCD). Furthermore, our above result can be generalized to even higher order. Comparing our formula with the integral formula of Collins-Soper-Sterman (CSS) in impact parameter $b$ space, we establish the relationship between the anomalous dimension of operator together with matching coefficients in SCET and the well-known coefficients A, B and C in pQCD, which also provides a relative natural and convenient method to treat the similar questions as ones of CSS, such as the matching in nonperturbative region. Finally, the joint resummation method in SCET is briefly discussed.
Gao Yang
Li Chong Sheng
Liu Jian Jun
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