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arXiv · 1009.1969

Revisiting the vector form factor at next-to-leading order in 1/N(C)

Ignasi Rosell
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Abstract

Using the Resonance Chiral Theory lagrangian, we perform a calculation of the vector form factor of the pion at the next-to-leading order (NLO) in the $1/N_C$ expansion. Imposing the correct QCD short-distance constraints, one determines it in terms of $F$, $G_V$, $F_A$ and resonance masses. Its low momentum expansion fixes then the low-energy chiral couplings $L_{9}$ and $C_{88}-C_{90}$ at NLO, keeping full control of their renormalization scale dependence. At $\mu_0=0.77$ GeV, we obtain $L_{9}^r(\mu_0) = (7.6 \pm 0.6)\cdot 10^{-3}$ and $C_{88}^r(\mu_0)-C_{90}^r(\mu_0)=(-4.5 \pm 0.5)\cdot 10^{-5}$.

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Ignasi Rosell. 2010-09-10. Revisiting the vector form factor at next-to-leading order in 1/N(C). https://doi.org/10.1016/j.nuclphysbps.2010.10.042

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