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Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
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We complete the leading-log renormalization group scaling of the nonrelativistic (NRQCD) Lagrangian at
O
(
1
/
m
2
)
.
The next-to-next-to-leading-log renormalization group scaling of the potential NRQCD Lagrangian (as far as the singlet is concerned) is also obtained in the situation
m
α
s
≫
Λ
QCD
.
As a by-product, we obtain the heavy quarkonium spectrum with the same accuracy in the situation
m
α
2
s
≳
Λ
QCD
.
When
Λ
QCD
≪
m
α
2
s
,
this is equivalent to obtain the whole set of
O
(
m
α
(
n
+
4
)
s
ln
n
α
s
)
terms in the heavy quarkonium spectrum. The implications of our results in the nonperturbative situation
m
α
s
∼
Λ
QCD
are also mentioned.
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Citació
PINEDA, Antonio (Pineda Ruiz). Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum. Physical Review D. 2002. Vol. 65, num. 7, pags. 074007-1-074007-10. ISSN 0556-2821. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/12463