S. Moch

Next-to-next-to-leading order evolution of non-singlet fragmentation functions

Abstract We have investigated the next-to-next-to-leading order (NNLO) corrections to inclusive hadron production in e + e − annihilation and the related parton fragmentation distributions, the ‘time-like’ counterparts of the ‘space-like’ deep-inelastic structure functions and parton densities. We have re-derived the corresponding second-order coefficient functions in massless perturbative QCD, which so far had been calculated only by one group. Moreover we present, for the first time, the third-order splitting functions governing the NNLO evolution of flavour non-singlet fragmentation distributions. These results have been obtained by two independent methods relating time-like quantities to calculations performed in deep-inelastic scattering. We briefly illustrate the numerical size of the NNLO corrections, and make a prediction for the difference of the yet unknown time-like and space-like splitting functions at the fourth order in the strong coupling constant.

Physics at a 100 TeV pp collider: Standard Model processes

This chapter documents the production rates and typical distributions for a number of benchmark Standard Model processes, and discusses new dynamical phenomena arising at the highest energies available at this collider. We discuss the intrinsic physics interest in the measurement of these Standard Model processes, as well as their role as backgrounds for New Physics searches.This chapter documents the production rates and typical distributions for a number of benchmark Standard Model processes, and discusses new dynamical phenomena arising at the highest energies available at this collider. We discuss the intrinsic physics interest in the measurement of these Standard Model processes, as well as their role as backgrounds for New Physics searches.This chapter documents the production rates and typical distributions for a number of benchmark Standard Model processes, and discusses new dynamical phenomena arising at the highest energies available at this collider. We discuss the intrinsic physics interest in the measurement of these Standard Model processes, as well as their role as backgrounds for New Physics searches.

Third-order QCD corrections to the charged-current structure function F 3

We compute the coefficient function for the charge-averaged W � -exchange structure function F3 in deep-inelastic scattering (DIS) to the third order in mas sless perturbative QCD. Our new threeloop contribution to this quantity forms, at not too small va lues of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading ord er corrections. It thus facilitates improved determinations of the strong coupling αs and of 1=Q 2 power corrections from scaling violations measured in neutrino-nucleon DIS. The expansion of F3 in powers of αs is stable at all values of x relevant to measurements at high scales Q 2 . At small x the third-order coefficient function is dominated by diagrams with the colour structure d abc dabc not present at lower orders. At large x the coefficient function for F3 is identical to that of F1 up to terms vanishing for x ! 1.

Parton distribution functions,

We determine a new set of parton distribution functions (ABMP16), the strong coupling constant

\alpha_s

alpha_s

, and heavy-quark masses for LHC Run II

and the quark masses

On third-order timelike splitting functions and top-mediated Higgs decay into hadrons

m_c

NNLO benchmarks for gauge and Higgs boson production at TeV hadron colliders

,

On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x

m_b

On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD

and