论文标题
在非相关性有效理论中,将旋转一半旋转的直接检测排除图括起来
Bracketing the direct detection exclusion plot for a WIMP of spin one half in non-relativistic effective theory
论文作者
论文摘要
假设在我们银河系的光环中具有标准的Maxwellian速度分布,我们使用9个直接检测实验的详尽无效结果来计算每个Wilson系数的最大变化,以使galilean-invariant有效汉密尔顿的每个威尔逊系数的最大变化,这是一个因细胞的一半而导致的。我们考虑56 Wilson系数$ C_I^{P,N} $和$α_I^{n,P} $用于WIMP-PROTON和WIMP-PROTON和WIMP-NEUTRON触点交互$ {\ cal O} _i^_i^{p,n} $,以及相互作用的长度相互作用$ {繁殖器$ 1/q^2 $。对于每个耦合,当允许以下操作员进行干预时,我们提供不同的排除图:质子 - 内核,即$ c_i^{p} $ - $ c_i^{n} $或$α_i^{p} $ - $ a_i^{p} $ - $ a_i^n} $; contact-contact或远距离范围,即$ c_i^{p,n} $ - $ c_j^{p,n} $或$α_i^{p,n} $ - $ n} $ - $α_j^{p,n} $;联系人范围,即$ C_I^{P,N} $ - $ a_j^{p,n} $。 For each of the 56 Wilson coefficients $c_i^{p,n}$ and $α_j^{p,n}$ and for the largest number of interfering operators the exclusion plot variation can reach 3 orders of magnitude and reduces to a factor as small as a few for the Wilson coefficients of the effective interactions where the WIMP couples to the nuclear spin, thanks to the combination of experiments using proton-odd和中子-ODD目标。一些保守的界限需要取消水平极高,这质疑结果的可靠性。我们以系统的方式分析了这个问题,表明它会影响操作员$ {\ cal o} _ {1} $,$ {\ cal o} _ {3} $,$ {\ cal o} _ {\ cal o} _ {\ cal o} _ {11}} $, O} _ {15} $,尤其是当考虑到触点和远距离交互之间的干扰时。
Assuming a standard Maxwellian velocity distribution for the WIMPs in the halo of our Galaxy we use the null results of an exhaustive set of 9 direct detection experiments to calculate the maximal variation of the exclusion plot for each Wilson coefficient of the most general Galilean-invariant effective Hamiltonian for a WIMP of spin one half due to interferences. We consider 56 Wilson coefficients $c_i^{p,n}$ and $α_i^{n,p}$ for WIMP-proton and WIMP-neutron contact interactions ${\cal O}_i^{p,n}$ and the corresponding long range interaction ${\cal O}_i^{p,n}/q^2$, parameterized by a massless propagator $1/q^2$. For each coupling we provide a different exclusion plot when the following set of operators is allowed to interfere: proton-neutron, i.e. $c_i^{p}$-$c_i^{n}$ or $α_i^{p}$-$α_i^{n}$; contact-contact or long range-long range, i.e. $c_i^{p,n}$-$c_j^{p,n}$ or $α_i^{p,n}$-$α_j^{p,n}$; contact-long range, i.e. $c_i^{p,n}$-$α_j^{p,n}$. For each of the 56 Wilson coefficients $c_i^{p,n}$ and $α_j^{p,n}$ and for the largest number of interfering operators the exclusion plot variation can reach 3 orders of magnitude and reduces to a factor as small as a few for the Wilson coefficients of the effective interactions where the WIMP couples to the nuclear spin, thanks to the combination of experiments using proton-odd and neutron-odd targets. Some of the conservative bounds require an extremely high level of cancellation, putting into question the reliability of the result. We analyze this issue in a systematic way, showing that it affects some of the couplings driven by the operators ${\cal O}_{1}$, ${\cal O}_{3}$, ${\cal O}_{11}$, ${\cal O}_{12}$ and ${\cal O}_{15}$, especially when interferences among contact and long range interactions are considered.