$B\to f_0(980)K$ Decays and Subleading Corrections

Hai-Yang Cheng; Kwei-Chou Yang

doi:10.1103/PhysRevD.71.054020

paper

$B \to f_{0} (980) K$ Decays and Subleading Corrections

arXiv:hep-ph/0501253 · doi:10.1103/PhysRevD.71.054020

Abstract

The decay $B \to f_{0} (980) K i ss t u d i e d w i t hin t h e f r am e w or k o f QC D f a c t or i z a t i o nan d t h e tw o - q u a r k sce na r i o f or$ f_0(980) $. T h er e a r e tw o d i s t in c tp e n g u in co n t r ib u t i o n s an d t h e i r in t er f er e n ce d e p e n d so n t h e u nk n o w nmi x in g an g l e$ θ $o f s t r an g e an d n o n s t r an g e q u a r k co n t e n t so f$ f_0(980) $: d es t r u c t i v e f or$ 0<θ<π/2 $an d co n s t r u c t i v e f or$ π/2<θ<π $. T h e QC D s u m r u l e m e t h o d i s a ppl i e d t oe v a l u a t e t h e l e a d in g - tw i s tl i g h t - co n e d i s t r ib u t i o nam pl i t u d es an d t h esc a l a r d ec a y co n s t an t o f$ f_0 $. W eco n c l u d e t ha tt h es h or t - d i s t an ce a pp r o a c hi s n o t a d e q u a t e t oe x pl ain t h eo b ser v e d l a r g er a t eso f$ f_0K^- $an d$ f_0\ov K^0 $. A m o n g man y p oss ib l es u b l e a d in g cor r ec t i o n s, w es t u d y an d es t ima t e t h eco n t r ib u t i o n s f r o m t h e t h r ee - p a r t o n F oc k s t a t eso f t h e$ f_0 $an df r o m t h e in t r in s i c g l u o nin s i d e t h e$ B $m eso n . I t i s f o u n d t ha tt h es p ec t a t or g l u o n o f t h e$ B $m eso nma y pl a y an e min e n t r o l e f or t h ee nhan ce m e n t o f$ f_0(980)K $. W e p o in t o u tt ha t i f$ f_0(980) $i s a f o u r - q u a r k s t a t e a s w i d e l y p er ce i v e d, t h er e w i l l e x i s t e x t r a d ia g r am sco n t r ib u t in g t o$ B\to f_0(980)K $. H o w e v er, in p r a c t i ce i t i s d i f f i c u l tt o mak e q u an t i t a t i v e p r e d i c t i o n s ba se d o n t h e f o u r - q u a r k p i c t u r e f or$ f_0(980) $a s i t in v o l v es a dd i t i o na l n o n f a c t or i z ab l eco n t r ib u t i o n s t ha t a r e d i f f i c u l tt oes t ima t e an d t h ec a l c u l a t i o n so f t h e d ec a y co n s t an t an df or m f a c t or so f$ f_0(980)$ are beyond the conventional quark model.

28 pages, 10 figures. Experimental branching ratios of B-> f_0 K are updated, typos corrected and references added

B→f0​(980)K Decays and Subleading Corrections

Abstract

$B \to f_{0} (980) K$ Decays and Subleading Corrections