论文标题

GALILEAN-INVARIANT XEFT在接下来的订单上

Galilean-Invariant XEFT at Next-to-Leading Order

论文作者

Braaten, Eric, He, Li-Ping, Jiang, Jun

论文摘要

XEFT是一种用于魅力介子和乳头的低能有效田间理论,可系统地改进$ x(3872)$共振。为了简化超出领先顺序的计算,我们引入了Xeft的新公式,并具有动态场,用于共振通道中的一对魅力介子。我们通过引入一种新的翻新方案来简化XEFT的重归其化,该方案涉及在复杂的$ d^{*0} \ bar d^0 $阈值下在复杂的$ d^{*0} \ bar d^0 $阈值下的减法。通过使用Galilean-Invariant Xeft来计算$ x $的复杂极能和$ d^{*0} \ bar d^0 $散射幅度到近次到领先顺序,可以说明新的配方和新的重新规定方案。

XEFT is a low-energy effective field theory for charm mesons and pions that provides a systematically improvable description of the $X(3872)$ resonance. To simplify calculations beyond leading order, we introduce a new formulation of XEFT with a dynamical field for a pair of charm mesons in the resonant channel. We simplify the renormalization of XEFT by introducing a new renormalization scheme that involves the subtraction of amplitudes at the complex $D^{*0} \bar D^0$ threshold. The new formulation and the new renormalization scheme are illustrated by calculating the complex pole energy of $X$ and the $D^{*0} \bar D^0$ scattering amplitude to next-to-leading order using Galilean-invariant XEFT.

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