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A discussion on leading renormalon in the pole mass · Around

2017

A discussion on leading renormalon in the pole mass

Komijani, Javad

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Perturbative series of some quantities in quantum field theories, such as the pole mass of a quark, suffer from a kind of divergence called renormalon divergence.

In this paper, the leading renormalon in the pole mass is investigated, and a map is introduced to suppress this renormalon.
The inverse of the map is then used to generate the leading renormalon and obtain an expression to calculate its overall normalization.
Finally, the overall normalization of the leading renormalon of the pole mass is calculated for several values of quark flavors.

Built on

C. M. Bender and T. T. Wu, Phys. Rev. 184
1969
Earlier work this paper cites.
T. Banks and A. Zaks, Nucl. Phys. B196
1982
Earlier work this paper cites.
L. S. Brown, L. G. Yaffe, and C.-X. Zhai, Phys. Rev. D46
1992
Earlier work this paper cites.
I. I. Y. Bigi, M. A. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. D50
1994
Earlier work this paper cites.
M. Beneke and V. M. Braun, Nucl. Phys. B426
1994
Earlier work this paper cites.
M. Beneke, Phys. Lett. B344
1995
Earlier work this paper cites.
P. Ball, M. Beneke, and V. M. Braun, Nucl. Phys. B452
1995
Earlier work this paper cites.

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Then

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Later among the works it cites.
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2008
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2010
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Original
2014
Later among the works it cites.
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M. Beneke, P. Marquard, P. Nason, and M. Steinhauser, (2016), arXiv:1605.03609 [hep-ph]

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