Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative corrections to curvature sum rules   Two new sum rules were recently discovered by Le Yaouanc et al. by applying
the operator product expansion to the nonforward matrix element of a
time-ordered product of $b \to c$ currents in the heavy-quark limit of QCD.
They lead to the constraints $\sigma^2 > 5\rho^2/4$ and $\sigma^2 >
3(\rho^2)^2/5 + 4\rho^2/5$ on the curvature of the $\bar{B} \to D^{(*)}$
Isgur-Wise function, both of which imply the absolute lower bound $\sigma^2 >
15/16$ when combined with the Uraltsev bound $\rho^2 > 3/4$ on the slope. This
paper calculates order $\alpha_s$ corrections to these bounds, increasing the
accuracy of the resultant constraints on the physical form factors. The latter
may have implications for the determination of $|V_{cb}|$ from exclusive
semileptonic $B$ meson decays.

34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci