the three-loop splitting functions pqg(2) and pgg(2,nf)
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2017
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Abstract
We calculate the unpolarized twist-2 three-loop splitting functions Pqg(2)(x) and Pgg(2,NF)(x) and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate Pgg(2,NF)(x) directly, Pqg(2)(x) is computed from 1200 even moments, without any structural prejudice, using a hierarchy of recurrences obtained for the corresponding operator matrix element. The largest recurrence to be solved is of order 12 and degree 191. We confirm results in the foregoing literature.
| Reference Key |
ablinger2017nuclearthe
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| Authors | ;J. Ablinger;A. Behring;J. Blümlein;A. De Freitas;A. von Manteuffel;C. Schneider |
| Journal | biology and fertility of soils |
| Year | 2017 |
| DOI |
10.1016/j.nuclphysb.2017.06.004
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