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We present flavor SU(3) sum rules for $D \to PP$ and $D \to PV$ decay amplitudes, that are valid to second order in symmetry breaking by the strange quark mass spurion. Decay rate sum rules are also computed to this order. Particular…

高能物理 - 唯象学 · 物理学 2015-06-12 Yuval Grossman , Dean J Robinson

A rich mathematical structure underlying flavor sum rules has been discovered recently. In this work, we extend these findings to systems with a direct sum of representations. We prove several results for the general case. We derive an…

高能物理 - 唯象学 · 物理学 2024-12-13 Margarita Gavrilova , Stefan Schacht

We prove a general theorem about equal CP rate differences within pairs of U-spin related charmless $B$ and $B_s$ decays. Large deviations from equalities would be evidence for new physics. Six pairs of decays into two pseudoscalar mesons…

高能物理 - 唯象学 · 物理学 2014-11-17 Michael Gronau

A sum rule relating the widths of the decays of mesons belonging to heavy quark multiplets, having the same parity and light quark spin j, into the low lying $0^-$ and $1^-$ multiplet is obtained. As this sum rule follows from properties of…

高能物理 - 唯象学 · 物理学 2007-05-23 Myron Bander

Motivated by the recent LHCb observation of $CP$ violation in charm, we study $CP$ violation in the charmed baryon decays. A simple method to search for the $CP$ violation relations in the flavor $SU(3)$ limit, which is associated with a…

高能物理 - 唯象学 · 物理学 2019-05-23 Di Wang

We investigate the weak decays of $\bar B_{s}^{0}$ and $\Lambda_{b}$ to charm hadrons based on the dynamical supersymmetry between the $\bar s$ quark and the $ud$ diquark. We derive a new sum rule relating the decay rates of the processes…

高能物理 - 唯象学 · 物理学 2022-03-23 Taiju Amano , Daisuke Jido , Stefan Leupold

Second-generation theoretical technologies -- heavy quark expansions, QCD sum rules and QCD simulations on the lattice -- are arriving on the scene, allowing a treatment of charm decays that is genuinely based on QCD. The availability of…

高能物理 - 唯象学 · 物理学 2007-05-23 I. I. Bigi

The decay constants of the charmed heavy pseudoscalar D and D_s mesons are revisited within a recently developed novel approach to dispersive QCD sum rules which relies on an unprejudiced implementation of quark-hadron duality. The proposed…

高能物理 - 唯象学 · 物理学 2012-05-31 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Isospin symmetry is the most precise flavor symmetry. The effective Hamiltonian of charm quark weak decay is zero under the isospin lowering operators $I_-^n$, which permits us to generate isospin sum rules through several master formulas.…

高能物理 - 唯象学 · 物理学 2024-10-25 Jin-Feng Luo , Di Wang

We explore the idea of higher-order flavor sum rules, i.e. sum rules that hold to higher orders in the flavor symmetry-breaking parameters. In particular, we consider isospin sum rules based on $B \to n\pi$ decays, and U-spin sum rules…

高能物理 - 唯象学 · 物理学 2022-02-17 Saquib Hassan

Charge-parity (CP) asymmetries in charm decays are extremely suppressed in the Standard Model and may well be dominated by new physics contributions. The LHCb collaboration reported the results of direct CP asymmetry measurements in $D^0\to…

高能物理 - 唯象学 · 物理学 2025-02-19 Syuhei Iguro , Ulrich Nierste , Emil Overduin , Maurice Schüßler

$U$-spin symmetry, which reflects the symmetry between the down-type $d$ and $s$ quarks, is a powerful tool for analyzing heavy hadron weak decays. Motivated by recent experimental achievements in the bottom baryon sector, we study the…

高能物理 - 唯象学 · 物理学 2026-04-07 Si-Jia Wen , Wei-Chen Fu , Di Wang

We discuss the implications of the recent discovery of CP violation in two-body SCS $D$ decays by LHCb. We show that the result can be explained within the SM without the need for any large $SU(3)$ breaking effects. It further enables the…

高能物理 - 唯象学 · 物理学 2020-01-08 Yuval Grossman , Stefan Schacht

Triggered by a recent LHCb measurement and prospects for Belle II, we derive U-spin symmetry relations between integrated CP asymmetries of three-body $\Lambda_c^+$ and $\Xi_c^+$ decays. The sum rules read $A_{CP}(\Lambda_c^+\rightarrow p…

高能物理 - 唯象学 · 物理学 2019-02-20 Yuval Grossman , Stefan Schacht

Recent LHCb data shows that the direct CP asymmetries of the decay modes $D^0\rightarrow \pi^+\pi^-$ and $D^0\rightarrow K^+K^-$ have the same sign, violating an improved $U$-spin limit sum rule in an unexpected way at $2.1\sigma$. From the…

高能物理 - 唯象学 · 物理学 2023-04-12 Stefan Schacht

Isospin symmetry, as the most precise flavor symmetry, can be used to extract information about hadronic dynamics. The effective Hamiltonian for bottom quark weak decay is zero under the isospin lowering operators $I_-^n$, which allows us…

高能物理 - 唯象学 · 物理学 2024-09-23 Di Wang

Within the realm of QCD sum rules, one of the most important areas of application of this nonperturbative approach is the prediction of the decay constants of heavy mesons. However, in spite of the fact that, indisputably, the adopted…

高能物理 - 唯象学 · 物理学 2016-01-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We investigate semileptonic sum rules in heavy-to-light charm decays, motivated by analogous relations in $b \to c$ and $b \to u$ transitions. Focusing on the $c \to d\overline{\ell}\nu$ decays, $D \to \pi\overline{\ell}\nu$, $D \to…

高能物理 - 唯象学 · 物理学 2026-05-22 Motoi Endo , Syuhei Iguro , Satoshi Mishima , Takeru Uchiyama , Ryoutaro Watanabe

The method of QCD sum rules in the presence of the external electromagnetic $F_{\mu\nu}$ field is used to analyze radiative decays of charmed or bottomed mesons such as $D^{\ast}\to D\gamma$ and $B^{\ast}\to B\gamma$, with the…

高能物理 - 唯象学 · 物理学 2009-10-30 Shi-lin Zhu , W-Y. P. Hwang , Ze-sen Yang

This is an extension of the prediction of strange baryon decays to the decays of charmed baryons using QCD Sum Rules. Using QCD Sum Rules we estimate the decay $\Lambda^+_c (udc) \rightarrow \Lambda^o_s(uds)+ \pi^+$. Although some weak…

高能物理 - 唯象学 · 物理学 2019-02-22 Leonard S. Kisslinger , Bijit Singha
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