'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummations

Date
1998
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Abstract

We find evidence for an infrared fixed point in perturbative QCD using two complementary approximations: The Banks-Zaks expansion and the large-b resummations. Analyzing the e\sp+e\sp− annihilation ratio and the polarized Bjorken-sum-rule of deep-inelastic-scattering, we use the recent calculation of the renormalization-group β-function to four-loops in QCD to confirm that the Banks-Zaks expansion is relevant when extrapolated from sixteen down to two light quark flavors. We also search for indications of infrared 'freezing' in the Borel-renormalon-inspired 'large-b' resummations. We find the 'large-b' approximation also indicates perturbative 'freezing' of the e\sp+e\sp− annihilation ratio and the polarized Bjorken-sum-rule at leading order. Finally, we study the region, n\sbf = 2, where the 'large-n\sbf' resummation and Banks-Zaks expansion complement one another. We conclude that there is strong evidence for the existence of a perturbative infrared fixed point in the Standard Model QCD.

Description
Degree
Master of Arts
Type
Thesis
Keywords
Particle physics, Elementary particles, High energy physics
Citation

Caveny, Scott Andrew. "'Freezing' in perturbative quantum chromodynamics: The Banks-Zaks expansion and leading-b resummations." (1998) Master’s Thesis, Rice University. https://hdl.handle.net/1911/17158.

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