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Title: Manifestly soft gauge invariant formulation of vNRQCD

Journal Article · · Nuclear Physics. B
; ; ORCiD logo

Homogeneous power counting in Non-Relativistic QCD (NRQCD) implies the simultaneous existence of both soft and ultrasoft gluons. In the velocity renormalization group (vNRQCD) formalism we show that operators involving soft fields interacting with heavy potential quarks can be put in a manifestly gauge invariant form by utilizing gluon and quark building blocks which contain Wilson lines, and are analogous to those used in the soft collinear effective theory. This leads to several simplifications, in particular significantly reducing the size of the operator basis, which stream-lines matching and anomalous dimension calculations at subleading order in the velocity expansion. Also, soft ghosts no longer couple via potential like interactions to the heavy quark fields, and hence do not appear until two loops. Furthermore the the color structures that appear at each order in αs in the static potential are only those which should arise according to non-Abelian exponentiation. We also discuss how zero-bin subtractions clarify the role of iε terms in the heavy quark propagator poles carrying soft momenta. Even though the choice of the direction of the soft Wilson lines in our building blocks does not matter, there is still a limited set of consistent choices, and the predicted form of the eikonal poles does influence results at two-loops and beyond.

Research Organization:
Univ. of Arizona, Tucson, AZ (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Carnegie Mellon Univ., Pittsburgh, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); Simons Foundation
Grant/Contract Number:
FG02-04ER41338; FG02-06ER41449; SC0011090; 327942; SC0010118
OSTI ID:
1489422
Alternate ID(s):
OSTI ID: 1609537; OSTI ID: 1755494
Journal Information:
Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 939 Journal Issue: C; ISSN 0550-3213
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

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