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# Going beyond Soft plus Virtual

Abstract : We present a formalism that sums up the soft-virtual (SV) and next-to-SV (NSV) diagonal contributions to inclusive colorless productions in hadron colliders to all orders in perturbative QCD. Using factorisation theorem, renormalisation group invariance and employing the transcendental structure of perturbative results, we show the exponential behavior of soft-collinear function. This allows us to predict certain SV and NSV terms to all orders from lower order information. We also present an integral representation for the coefficient functions which is suitable for Mellin $N$-space resummation.
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https://hal.archives-ouvertes.fr/hal-03659605
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Submitted on : Thursday, May 5, 2022 - 10:38:27 AM
Last modification on : Friday, May 6, 2022 - 3:38:56 AM

### Citation

A.H. Ajjath, Pooja Mukherjee, V. Ravindran. Going beyond Soft plus Virtual. 2022. ⟨hal-03659605⟩

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