Borel summation and momentum-plane analyticity in perturbative QCD | Zendy

I. Caprini | Zendy; Matthias Neubert | Zendy

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Borel summation and momentum-plane analyticity in perturbative QCD

Author(s) -

I. Caprini,

Matthias Neubert

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/03/007

Subject(s) - renormalon , borel summation , physics , resummation , quantum chromodynamics , mathematical physics , gravitational singularity , massless particle , mellin transform , momentum (technical analysis) , complex plane , perturbative qcd , plane (geometry) , quantum electrodynamics , mathematics , mathematical analysis , particle physics , quantum mechanics , fourier transform , differential equation , summation equation , geometry , finance , economics

We derive a compact expression for the Borel sum of a QCD amplitude in termsof the inverse Mellin transform of the corresponding Borel function. The resultallows us to investigate the momentum-plane analyticity properties of theBorel-summed Green functions in perturbative QCD. An interesting connectionbetween the asymptotic behaviour of the Borel transform and the Landausingularities in the momentum plane is established. We consider forillustration the polarization function of massless quarks and the resummationof one-loop renormalon chains in the large-$\beta_0$ limit, but our conclusionshave a more general validity.Comment: 22 pages, uses JHEP.cls (included), submitted to JHE

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