论文标题
DRA方法的四环HQET传播器
Four-loop HQET propagators from the DRA method
论文作者
论文摘要
我们使用尺寸复发关系和分析性来计算重夸克有效理论中的四环繁殖型硕士积分。与DRA方法的先前应用相比，我们采用了一种新技术，该技术从不同理性的时空维度评估的积分部分的极点固定均匀的解决方案。后者是根据在变化的时空维度和/或随着传播器功率增加的有限积分逐个逐步降低计算得出的。我们使用构造的替代积分集的替代替代系列具有具有猜想的统一先验权重的扩展系数。
We use dimensional recurrence relations and analyticity to calculate four-loop propagator-type master integrals in the heavy-quark effective theory. Compared to previous applications of the DRA method, we apply a new technique of fixing homogeneous solutions from pole parts of integrals evaluated in different rational space-time dimension points. The latter were calculated from the integration-by-parts reduction of finite integrals in shifted space-time dimension and/or with increased propagators powers. We provide results for epsilon expansions of master integrals near $d = 4$ and $d = 3$ using constructed alternative sets of integrals with expansion coefficients having conjectural uniform transcendental weight.
