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Towards next-to-next-to-leading-log accuracy for the width difference in the $$ {B}_s-{\overline{B}}_s $$ system: fermionic contributions to order (m c /m b )0 and (m c /m b )1
A bstract We calculate a class of three-loop Feynman diagrams which contribute to the next-to-next-to-leading logarithmic approximation for the width difference ΔΓ s in the $$ {B}_s-{\overline{B}}_s $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mo>−</mml:mo> <mml:msub> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>s</mml:mi> </mml:msub> </mml:math> system. The considered diagrams contain a closed …