T-2, Nuclear and Particle Physics, Astrophysics and Cosmology

Resummation of transverse momentum distributions in distribution space

Markus Ebert

Transverse momentum distributions are an important observable at hadron colliders for both SM measurements and BSM searches. Final states of invariant mass Q are dominantly produced at small transverse momentum qT, where the spectrum is dominated by large Sudakov double logarithms ln(qT/Q) which need to be resummed to all orders to obtain a reliable theory prediction. The resummation is conveniently achieved by solving (renormalization group) evolution equations in impact parameter space, which is Fourier conjugate to transverse momentum space. However, it has been a long-standing issue whether the resummation is also possible directly in transverse momentum space. I will illustrate the difficulties arising in momentum space and derive the momentum space solution based on a new method to solve evolution equations with distributional boundary conditions.


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