B -&gt; K pi Puzzle and New Sources of CP Violation in Supersymmetry

Khalil, S.; Masiero, A.; Murayama, H.

doi:10.48550/arxiv.0908.3216

Cited by 4 publications

(12 citation statements)

References 23 publications

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“…The SUSY solution to the puzzle by means of the chargino contributions has been discussed in [14,15,16]. In contrast to the gluino contributions which have already been constrained [17], the authors insisted that the chargino can induce a large CP asymmetry of B → Kπ.…”

Section: Introductionmentioning

confidence: 99%

Mass Insertion Formula for Chargino Contribution to B = 1 Wilson Coefficients and Its Application to CP Asymmetries of B -> K

Endo

Yoshinaga

2012

Progress of Theoretical Physics

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The comprehensive mass insertion formula of the b → sqq transitions was provided for the chargino contributions. The method clarifies physics behind the calculations of the supersymmetric contributions to FCNCs. The result was applied to the analysis of the difference of the CP asymmetries of the B → Kπ decays. It is shown that the supersymmetry is not responsible for the discrepancy.The CKM picture of the standard model (SM) has been confirmed by experimental and theoretical developments [1,2,3,4]. Although a lot of the experimental results of flavorchanging neutral currents (FCNCs) are consistent with the SM, there are processes whose measurements deviate from the SM prediction [5]. Some of them have been reported in the b − s transition processes. Definitely, it is too early to conclude the anomalies due to physics beyond the SM unless uncertainties especially from hadronic contributions are reduced. Nonetheless, it is important to explore the new physics (NP) in the flavor sector, because the FCNCs are sensitive to flavor violations in TeV scale. Supersymmetry (SUSY) is one of the most attractive extensions of the SM. It involves new flavor structures due to scalar partners of the SM matters. They contribute to the b−s transitions by gluino and chargino diagrams [6]. There are two methods to describe them:i) the loop diagrams are evaluated without approximations [7], and ii) they are expanded by small parameters (see, e.g., [6]). The former provides full evaluations, while the latter has virtues that the contributions can be understood clearly. In fact, physics behind the former calculations becomes clearer, and cancellations which appear in the former method such as the GIM mechanism are performed automatically. In the literature, the latter description, called the mass insertion (MI) approximation, has been discussed for the gluino contributions. The MI formula for the chargino contributions to b → sℓℓ is also given in Ref. [8], though some typos were recently reported [9]. That for b → sqq are found in Ref. [10,11]. However, some contributions are not included, as will be shown later. In this paper, the comprehensive chargino contributions to the Wilson coefficients of b → sqq will be provided in the MI approximation.The analysis will be applied to the Kπ puzzle. The B → Kπ decay is dominated by the penguin contribution and sensitive to the NP (see, e.g., [12] for a review). Currently, the measurement of the CP asymmetry of the B 0 → K + π − decay is different from that of B ± → K ± π 0 at more than the 5σ level [1]. In the SM, such a large deviation is unexpected (see [12] for a summary of the theoretical predictions), which is called the Kπ puzzle.In the topological decomposition of the amplitudes [13], the difference originates in the color-suppressed tree (C) and electroweak penguin (P ew ) contributions. The experimental

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Section: Introductionmentioning

confidence: 99%

Mass Insertion Formula for Chargino Contribution to B = 1 Wilson Coefficients and Its Application to CP Asymmetries of B -> K

Endo

Yoshinaga

2012

Progress of Theoretical Physics

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“…As emphasized in Ref. [12], a possible solution for the B → Kπ puzzle is to have a new source of CP violation that generates CP phases for the EW penguins. This possibility can be implemented in supersymmetric models and has been checked within the framework of QCDF in Ref.…”

Section: Sm Contribution To the Cp Asymmetry Of B → Kπmentioning

confidence: 99%

“…This possibility can be implemented in supersymmetric models and has been checked within the framework of QCDF in Ref. [4,12].…”

Section: Sm Contribution To the Cp Asymmetry Of B → Kπmentioning

confidence: 99%

“…It has been emphasized in Ref. [4,12] that these phases are crucial in providing a natural explanation for the B → Kπ puzzle. Indeed, this new source of SUSY CP violating phases induces CP violating phases associated with the electroweak penguins, which are essential with large strong phase in order to resolve the apparent discrepancies between the CP asymmetry of…”

Section: Introductionmentioning

confidence: 99%

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New Physics contribution to $B \to K π$ decays in SCET

Huitu,

Khalil

2009

Preprint

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We analyze the 5σ difference between the CP asymmetries of the B 0 → K + π − and B + → K + π 0 decays within the Soft Collinear Effective Theory. We find that in the Standard Model, such a big difference cannot be achieved. We classify then the requirements for the possible New Physics models, which can be responsible for the experimental results. As an example of a New Physics model we study minimal supersymmetric models, and find that the measured asymmetry can be obtained with non-minimal flavor violation.

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“…If the positive asymmetry for B − → K − π 0 and a large negative B0 → K0 π 0 CP asymmetry are confirmed by new measurements, this would be a clear evidence for the enhanced color-suppressed tree contribution to CP asymmetries in B → Kπ decays. Apart from the possibility of new physics [7,8,13] to solve the A CP B → Kπ puzzle, recent calculations in the standard model(SM), as done in perturbative QCD (pQCD) [2,5], in QCD Factorization(QCDF) with large hard scattering corrections [14] seem to obtain a large color-suppressed enhancement in B → ππ and B → Kπ decays. The calculation in [8] also shows that the color-suppressed tree contribution has to be large to solve the B → Kπ A CP puzzle within the standard model.…”

Section: Introductionmentioning

confidence: 99%

${\mathcal A}_{\rm CP}$ Puzzle: Possible Evidence for Large Strong Phase in $B\to Kπ$ Color-Suppressed Tree Amplitude

Pham

2009

Preprint

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In QCD Factorization(QCDF), the suppression of the color-suppressed tree amplitude relative to the color-allowed one in B → Kπ decay implies a direct CP asymmetry in B − → K − π 0 to be of the same sign and comparable in magnitude to that in B0 → K + π − , in contradiction with experiment. This is the ACP B → Kπ puzzle. One of the current proposal to solve this puzzle is the existence of a large color-suppressed amplitude with large strong phase which implies also a large negative B0 → K0 π 0 CP asymmetry. In this paper, by an essentially model-independent calculation, we show clearly that the large negative direct CP asymmetry in B0 → K0 π 0 implies a large C/T , the ratio of the color-suppressed to the color-allowed tree amplitude and a large negative strong phase for C. By adding to the QCDF amplitude an additional color-suppressed term to generate a large C/T and a large strong phase for C and an additional penguin-like contribution, we obtain branching ratios for all B → Kπ modes and CP asymmetry for B0 → K + π − and B − → K − π 0 in agreement with experiment, and a large and negative CP asymmetry in B0 → K0 π 0 which could be checked with more precise measurements.

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B -> K pi Puzzle and New Sources of CP Violation in Supersymmetry

Cited by 4 publications

References 23 publications

Mass Insertion Formula for Chargino Contribution to B = 1 Wilson Coefficients and Its Application to CP Asymmetries of B -> K

Mass Insertion Formula for Chargino Contribution to B = 1 Wilson Coefficients and Its Application to CP Asymmetries of B -> K

New Physics contribution to $B \to K π$ decays in SCET

${\mathcal A}_{\rm CP}$ Puzzle: Possible Evidence for Large Strong Phase in $B\to Kπ$ Color-Suppressed Tree Amplitude

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