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Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>ℓ</mml:mi><mml:mi>ν</mml:mi></mml:math>in heavy quark effective theory
We present a systematic analysis of the ${B}^{(*)}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\ell}\ensuremath{\nu}$ weak decay form factors to order $\frac{1}{{m}_{b}}$ in the heavy quark effective theory, including a discussion of renormalization-group effects. These processes are described by a set of ten universal functions (two at leading order, and eight at order $\frac{1}{{m}_{b}}$, which are defined …