{ "id": "1101.6053", "version": "v3", "published": "2011-01-31T19:28:20.000Z", "updated": "2016-10-20T22:30:55.000Z", "title": "On $D\\to X_u l^+ l^-$ within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity", "authors": [ "Ayan Paul", "Ikaros I. Bigi", "Stefan Recksiegel" ], "comment": "24 Pages, 12 figures. V2 contains corrections to the Appendix A. V3 fixes an error in eq. 10", "journal": "Phys.Rev.D83: 114006, 2011", "doi": "10.1103/PhysRevD.83.114006", "categories": [ "hep-ph", "hep-ex" ], "abstract": "The $D\\to X_u l^+ l^-$ transitions -- branching ratios, forward-backward asymmetry $A^c_{FB}$, the CP asymmetry $A^c_{CP}$ and the CP asymmetry in the forward-backward asymmetry $A^{CP}_{FB}$ -- have two sources: for $D^{\\pm}$ they represent a pure $\\Delta C=1$ & $\\Delta Q=0$ current interaction whereas neutral $D$ mesons can also communicate via their anti-hadron. Standard Model (SM) contributions to BR$(D\\to X_u l^+ l^-)$ come primarily from long distance dynamics, which overshadow short distance contributions by several orders of magnitude; still they fall much below the present upper experimental bounds. Even the SM contributions to $A^c_{FB}$, $A^c_{CP}$ and $A^{CP}_{FB}$ are tiny, quite unlike in beauty hadrons. The branching ratios are hardly dented by contributions from the Littlest Higgs Models with T parity (LHT) even in the short distance regime, let alone in the SM long distances dynamics. Yet the asymmetries $A^c_{FB}$, $A^c_{CP}$ and $A^{CP}_{FB}$ in these New Physics models can be enhanced over SM predictions, as they arise purely from short distance dynamics; this can occur in particular for $A^c_{FB}$ and $A^{CP}_{FB}$ which get enhanced by orders of magnitudes. Even such enhancements hardly reach absolute sizes for observable experimental effects for $A^c_{FB}$ and $A^c_{CP}$. However LHT contributions to $A^{CP}_{FB}$ could be measured in experiments like the LHCb and the SuperB Collaboration. These results lead us to draw further conclusions on FCNCs within LHT-like models through some simple scaling arguments that encapsulate the essence of flavour dynamics in and beyond the Standard Model.", "revisions": [ { "version": "v2", "updated": "2011-06-01T16:57:52.000Z", "title": "On D\\to X_u l^+ l^- within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity", "abstract": "The D\\to X_u l^+ l^- transitions -- branching ratios, forward-backward asymmetry A^c_{FB}, the CP asymmetry A^c_{CP} and the CP asymmetry in the forward-backward asymmetry A^{CP}_{FB} -- have two sources: for D^{\\pm} they represent a pure \\Delta C=1 & \\Delta Q=0 current interaction whereas neutral D mesons can also communicate via their anti-hadron. Standard Model (SM) contributions to BR(D\\to X_u l^+ l^-) come primarily from long distance dynamics, which overshadow short distance contributions by several orders of magnitude; still they fall much below the present upper experimental bounds. Even the SM contributions to A^c_{FB}, A^c_{CP} and A^{CP}_{FB} are tiny, quite unlike in beauty hadrons. The branching ratios are hardly dented by contributions from the Littlest Higgs Models with T parity (LHT) even in the short distance regime, let alone in the SM long distances dynamics. Yet the asymmetries A^c_{FB}, A^c_{CP} and A^{CP}_{FB} in these New Physics models can be enhanced over SM predictions, as they arise purely from short distance dynamics; this can occur in particular for A^c_{FB} and A^{CP}_{FB} which get enhanced by orders of magnitudes. Even such enhancements hardly reach absolute sizes for observable experimental effects for A^c_{FB} and A^c_{CP}. However LHT contributions to A^{CP}_{FB} could be measured in experiments like the LHCb and the SuperB Collaboration. These results lead us to draw further conclusions on FCNCs within LHT-like models through some simple scaling arguments that encapsulate the essence of flavour dynamics in and beyond the Standard Model.", "comment": "24 Pages, 12 figures. V2 contains corrections to the Appendix A", "journal": "Phys.Rev.D83:114006,2011" }, { "version": "v3", "updated": "2016-10-20T22:30:55.000Z" } ], "analyses": { "subjects": [ "11.15.Ex", "13.20.Fc", "12.15.Ff" ], "keywords": [ "littlest higgs model", "standard model", "cp asymmetry", "distance dynamics", "long distance" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D", "year": 2011, "month": "Jun", "volume": 83, "number": 11, "pages": 114006 }, "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 886410, "adsabs": "2011PhRvD..83k4006P" } } }