# Dipion light-cone distribution amplitudes and $B \to \pi\pi$ form factors

## TL;DR

This paper updates the dipion distribution amplitudes using lattice QCD data, revisits B to pi pi form factors with light-cone sum rules, and extends predictions across energy ranges, highlighting resonance contributions.

## Contribution

It introduces updated dipion distribution amplitudes from lattice QCD and extends form factor predictions to higher energies including resonance effects.

## Key findings

- Resonance dominates P-wave form factors.
- Resonance contribution in S-wave is less significant.
- Extended predictions cover high-energy regions.

## Abstract

We suggest to update the expansion coefficients of 2$\pi$DAs with the distribution amplitudes of light mesons evaluated from lattice QCD, with which we revisit $\overline{B}^0 \to \pi^+\pi^0$ transition form factors from light-cone sum rules approach and extend the predictions from the threshold of dipion invariant mass to high energies with including the resonance intervals. We also derive $B^- \to \pi^0\pi^0$ transition form factors with the isoscalar dipion final state, serving as the supplement to the isovector ones to complete the set of light-cone sum rules prediction of $B \to \pi\pi$ form factors. Our numerics shows that the lowest resonance gives the dominant contribution to $P-$wave form factors, while the resonance contribution in $S-$wave is not so salient.